A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
IEEE Transactions on Fuzzy SystemsPublished 1 October 2006
Gang Feng
Citations1,638
SJR quartileQ1
SJR score3.61
SNIP2.80
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TL;DR
A survey on recent developments (or state of the art) of analysis and design of model based fuzzy control systems based on the so-called Takagi-Sugeno fuzzy models or fuzzy dynamic models.
Abstract
Fuzzy logic control was originally introduced and developed as a model free control design approach. However, it unfortunately suffers from criticism of lacking of systematic stability analysis and controller design though it has a great success in industry applications. In the past ten years or so, prevailing research efforts on fuzzy logic control have been devoted to model-based fuzzy control systems that guarantee not only stability but also performance of closed-loop fuzzy control systems. This paper presents a survey on recent developments (or state of the art) of analysis and design of model based fuzzy control systems. Attention will be focused on stability analysis and controller design based on the so-called Takagi–Sugeno fuzzy models or fuzzy dynamic models. Perspectives of model based fuzzy control in future are also discussed.
Keywords
Computer ScienceEngineering
IEEE Transactions on Systems Man and CyberneticsFuzzy identification of systems and its applications to modeling and control
19,403 Citations1985Tomohiro Takagi, Michio Sugeno
A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Information SciencesThe concept of a linguistic variable and its application to approximate reasoning-III
12,148 Citations1975L. A. Zadeh
Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Nonlinear and adaptive control design
10,450 Citations1995Miroslav Krstić, P.V. Kokotović +1 more
Using a pedagogical style along with detailed proofs and illustrative examples, this book opens a view to the largely unexplored area of nonlinear systems with uncertainties--adaptive backstepping.
IEEE Transactions on Systems Man and CyberneticsOutline of a New Approach to the Analysis of Complex Systems and Decision Processes
8,667 Citations1973Lotfi A. Zadeh
By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Fuzzy Set Theory—and Its Applications
7,484 Citations2001H.-J. Zimmermann
Management ScienceDecision-Making in a Fuzzy Environment
6,763 Citations1970Richard Bellman, L. A. Zadeh
Sliding Modes in Control and Optimization
6,536 Citations1992Vadim Utkin
The theory and practical application of Lyapunov's Theorem, a method for the Study of Non-linear High-Gain Systems, are studied.
IEEE Transactions on Systems Man and CyberneticsFuzzy logic in control systems: fuzzy logic controller. I
5,581 Citations1990C.C. Lee
This paper presents a survey of the FLC; describes a general methodology for constructing an FLC and assessing its per formance; and points to problems which need further research.
Proceedings of the Institution of Electrical EngineersApplication of fuzzy algorithms for control of simple dynamic plant
3,989 Citations1974E.H. Mamdani
A scheme in which a fuzzy algorithm is used to control plant, in this case, a laboratory-built steam engine, implemented as an interpreter of a set of rules expressed as fuzzy conditional statements.
Adaptive filtering prediction and control
3,364 Citations1984Graham C. Goodwin, Kwai Sin
This unified survey focuses on linear discrete-time systems and explores the natural extensions to nonlinear systems and summarizes the theoretical and practical aspects of a large class of adaptive algorithms.
IEEE Transactions on Neural NetworksFuzzy basis functions, universal approximation, and orthogonal least-squares learning
2,771 Citations1992L.-X. Wang, Jerry M. Mendel
Using the Stone-Weierstrass theorem, it is proved that linear combinations of the fuzzy basis functions are capable of uniformly approximating any real continuous function on a compact set to arbitrary accuracy.
Medical Entomology and ZoologyAdaptive Fuzzy Systems and Control: Design and Stability Analysis
2,747 Citations1994Lixin Wang
This paper presents a meta-analysis of the design and stability analysis of fuzzy identifiers of nonlinear dynamic systems fuzzy adaptive filters of adaptive fuzzy controllers using input-output linearization concepts.
Information SciencesSimilarity relations and fuzzy orderings
2,621 Citations1971Lotfi A. Zadeh
An extended version of Szpilrajn's theorem is proved and various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, a fuzzy preordering is investigated which is reflexive and antisymmetric.
IEEE Transactions on Fuzzy SystemsA fuzzy-logic-based approach to qualitative modeling
2,414 Citations1993Michio Sugeno, Toyoki Yasukawa
A general approach to quali- tative modeling based on fuzzy logic is discussed, which proposes to use a fuzzy clustering method (fuzzy c-means method) to identify the structure of a fuzzy model.
The Journal of the Acoustical Society of America<i>Neural Networks and Fuzzy Systems</i>
2,357 Citations1998Bart Kosko, John C. Burgess
Proceedings of the IEEENeuro-fuzzy modeling and control
2,315 Citations1995Jyh‐Shing Roger Jang, Chuen–Tsai Sun
The essential part of neuro-fuzzy synergisms comes from a common framework called adaptive networks, which unifies both neural networks and fuzzy models, which possess certain advantages over neural networks.
Fuzzy Set Theory — and Its Applications
2,312 Citations1991H.-J. Zimmermann
The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.
IEEE Transactions on Systems Man and CyberneticsFuzzy logic in control systems : fuzzy logic controller. Part II
2,227 Citations1990Chuen Chien Lee
The fuzzy logic controller (FLC) based on fuzzy logic provides a means of converting a linguistic control strategy based on expert knowledge into an automatic control strategy.
Fuzzy Control
2,092 Citations1997Kevin M. Passino, Stephen Yurkovich
Stability analysis and design of fuzzy control systems
2,022 Citations2002V. Tahani, Farid Sheikholeslam
The stability of a fuzzy feedback control system consisting of an fuzzy controller connected in series with a plant described by a fuzzy model is discussed, based on some new theorems that guarantee sufficient conditions for asymptotical stability of the equilibrium point and total stability ofThe stability analysis results are used to provide an approach to fuzzy controller design.
IEEE Transactions on Fuzzy SystemsFuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
1,616 Citations1998Kazuo Tanaka, Takayuki Ikeda +1 more
New relaxed stability conditions and LMI- (linear matrix inequality) based designs for both continuous and discrete fuzzy control systems are applied to design problems of fuzzy regulators and fuzzy observers.
Virtual Defense Library (Ministerio de Defensa)Essentials of Fuzzy Modeling and Control
1,541 Citations1994Ronald R. Yager, Dimitar Filev
Elsevier eBooksIndustrial applications of fuzzy control
1,450 Citations1985道夫 菅野
This work focuses on the application of Fuzzy and Artificial Intelligence Methods in the Building of a Blast Furnace Smelting Process Model and the development of Performance Adaptive FuzzY Controllers with Application to Continuous Casting Plants.
The Handbooks of fuzzy sets seriesFuzzy Models and Algorithms for Pattern Recognition and Image Processing
1,382 Citations1999James C. Bezdek, James F. Keller +2 more
Pattern Recognition, Cluster Analysis for Object Data, Classifier Design, and Image Processing and Computer Vision are studied.
IEEE Transactions on Systems Man and CyberneticsFuzzy logic in control systems: fuzzy logic controller. II
1,304 Citations1990C.C. Lee
The basic aspects of the FLC (fuzzy logic controller) decision-making logic are examined and several issues, including the definitions of a fuzzy implication, compositional operators, the interpretations of the sentence connectives 'and' and 'also', and fuzzy inference mechanisms, are investigated.
IEEE Transactions on Fuzzy SystemsA Hierarchical Type-2 Fuzzy Logic Control Architecture for Autonomous Mobile Robots
1,007 Citations2004Hani Hagras
A novel reactive control architecture for autonomous mobile robots that is based ontype-2 FLC to implement the basic navigation behaviors and the coordination between these behaviors to produce a type-2 hierarchical FLC is presented.
IEEE Transactions on Fuzzy SystemsA multiple lyapunov function approach to stabilization of fuzzy control systems
949 Citations2003Kazuo Tanaka, T. Hori +1 more
To take full advantage of a fuzzy Lyapunov function, a new parallel distributed compensation (PDC) scheme is proposed that feedbacks the time derivatives of premise membership functions.
IEEE Transactions on Neural NetworksLearning and tuning fuzzy logic controllers through reinforcements
945 Citations1992H.R. Berenji, P.S. Khedkar
The generalized approximate-reasoning-based intelligent control (GARIC) architecture learns and tunes a fuzzy logic controller even when only weak reinforcement is available; introduces a new conjunction operator in computing the rule strengths of fuzzy control rules; and learns to produce real-valued control actions.
AutomaticaLMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi–Sugeno's form
856 Citations2004Thierry‐Marie Guerra, Laurent Vermeiren
This paper presents the stabilization analysis for a class of nonlinear systems that are represented by a Takagi and Sugeno (TS) discrete fuzzy model using new control laws and new nonquadratic Lyapunov functions.
IEEE Transactions on Fuzzy SystemsNew approaches to relaxed quadratic stability condition of fuzzy control systems
793 Citations2000Euntai Kim, Heejin Lee
Two new conditions are proposed and shown to be useful in analyzing and designing fuzzy control systems that relax the existing conditions reported in the previous literatures.
IEEE Transactions on Fuzzy SystemsPiecewise quadratic stability of fuzzy systems
771 Citations1999Mikael Johansson, Anders Rantzer +1 more
The approach exploits the gain-scheduling nature of fuzzy systems and results in stability conditions that can be verified via convex optimization over linear matrix inequalities, and special attention is given to the computational aspects of the approach.
AutomaticaThe application of fuzzy control systems to industrial processes
767 Citations1977Paul J. King, E.H. Mamdani
The fuzzy control algorithm is used to implement linguistically expressed heuristic control policies directly, with a view to automating those complex and poorly-defined processes where modelling difficulties and lack of suitable measurements make manual control imperative.
IEEE Transactions on Systems Man and CyberneticsFuzzy gain scheduling of PID controllers
766 Citations1993Zhenyu Zhao, Masayoshi Tomizuka +1 more
IEEE Transactions on Fuzzy SystemsAnalysis and synthesis of nonlinear time-delay systems via fuzzy control approach
753 Citations2000Yong‐Yan Cao, P.M. Frank
The TS fuzzy models with time delay are presented and the stability conditions are derived using Lyapunov-Krasovskii approach and a stabilization approach for nonlinear time-delay systems through fuzzy state feedback and fuzzy observer-based controller is presented.
IEEE Transactions on Neural NetworksNeuro-fuzzy rule generation: survey in soft computing framework
722 Citations2000Sushmita Mitra, Yoichi Hayashi
This article proposes to bring the various neuro-fuzzy models used for rule generation under a unified soft computing framework, and includes both rule extraction and rule refinement in the broader perspective of rule generation.
AutomaticaNew approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
700 Citations2003Liu Xiaodong, Zhang Qingling
It is shown that the regulators, the fuzzy observers and the H"~ controller designs based on new observers for the T-S fuzzy systems are very practical and efficient.
IEEE Transactions on Fuzzy SystemsH/sup ∞/ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach
697 Citations1996Bor‐Sen Chen, Ching-Hsiang Lee +1 more
Computer simulation results confirm that the effect of both the fuzzy approximation error and external disturbance on the tracking error can be attenuated efficiently by the proposed adaptive fuzzy control algorithm.
IEEE Transactions on Fuzzy SystemsFuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model
638 Citations2001Chung‐Shi Tseng, Bor‐Sen Chen +1 more
IEEE Transactions on Fuzzy SystemsAnalysis and design of fuzzy controller and fuzzy observer
552 Citations1998Xiaojun Ma, Zengqi Sun +1 more
The main contribution of the paper is the development of the separation property; that is, the fuzzy controller and the fuzzy observer can be independently designed.
IEEE Transactions on Fuzzy SystemsA robust self-tuning scheme for PI- and PD-type fuzzy controllers
545 Citations1999Rajani K. Mudi, Nikhil R. Pal
The proposed self-tuning technique is applied to both PI- and PD-type FLCs to conduct simulation analysis for a wide range of different linear and nonlinear second-order processes including a marginally stable system where even the well known Ziegler-Nichols tuned conventional PI or PID controllers fail to provide an acceptable performance due to excessively large overshoot.
IEEE Transactions on Fuzzy SystemsStabilizing controller design for uncertain nonlinear systems using fuzzy models
523 Citations1999Marcelo Carvalho Minhoto Teixeira, Stanisław H. Żak
A Lyapunov-based stabilizing control design method for uncertain nonlinear dynamical systems using fuzzy models is proposed, finding sufficient conditions for stability and stabilizability of fuzzy models using fuzzy state feedback controllers.
IEEE Transactions on Fuzzy SystemsRobust fuzzy control of nonlinear systems with parametric uncertainties
512 Citations2001Ho Jae Lee, Jin Bae Park +1 more
The effectiveness of the proposed controller design methodology is finally demonstrated through numerical simulations on the chaotic Lorenz system, which has complex nonlinearity.
IEEE Transactions on Industrial ElectronicsAn optimal fuzzy PID controller
453 Citations2001K.S. Tang, K.F. Man +2 more
The constant PID control gains are optimized by using the multiobjective genetic algorithm (MOGA) thereby yielding an optimal fuzzy PID controller, which preserves the same linear structure of the proportional, integral, and derivative parts but has constant coefficient yet self-tuned control gains.
IEEE Transactions on Fuzzy SystemsMixed H/sub 2//H/sub ∞/ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach
449 Citations2000Bor‐Sen Chen, Chung‐Shi Tseng +1 more
This study introduces a mixed H/sub 2//H/sub /spl infin// fuzzy output feedback control design method for nonlinear systems with guaranteed control performance using the Takagi-Sugeno fuzzy model to approximate a nonlinear system.
IEEE Transactions on Fuzzy SystemsApproximation theory of fuzzy systems-SISO case
421 Citations1994Xiao‐Jun Zeng, M.G. Singh
The similarity between fuzzy systems and mathematical approximation is discussed and an idea to improve approximation accuracy is suggested based on uniform approximation bounds.
Fuzzy Sets and SystemsPerspectives of fuzzy systems and control
407 Citations2005Antonio Sala, Thierry‐Marie Guerra +1 more
State-of-the-art techniques for identifying fuzzy models and designing model-based controllers are reviewed in this article and attention is paid to the role of fuzzy systems in higher levels of the control hierarchy.
International Journal of Man-Machine StudiesIndustrial applications of fuzzy logic control
407 Citations1980Per Larsen
It is concluded that further investigations are required with respect to the applicability of structural programming, and stability problems in fuzzy control systems.
Artificial IntelligenceIntelligent control
400 Citations1993Barbara Hayes‐Roth
In my 1985 paper, “A Blackboard Architecture for Control” [7], I claimed that the control problem is fundamental to all cognitive processes and intelligent systems.
IEEE Transactions on Fuzzy SystemsOn relaxed LMI-based designs for fuzzy regulators and fuzzy observers
396 Citations2003Marcelo Carvalho Minhoto Teixeira, Edvaldo Assunção +1 more
A theoretical analysis shows that the proposed method provides better or at least the same results of the methods presented in the literature, and the proposed design method is applied in the control of an inverted pendulum.
IEEE Transactions on Fuzzy SystemsOn stability of fuzzy systems expressed by fuzzy rules with singleton consequents
382 Citations1999Michio Sugeno
Stability theorems for a discrete-time system as well as for a continuous time system are given and a brief survey on the stability issues of fuzzy control systems is given.
Lecture notes in control and information sciencesVariable Structure and Lyapunov Control
373 Citations1994A.S.I. Zinober
IEEE Transactions on Fuzzy SystemsNeuro-Fuzzy Control of a Robotic Exoskeleton With EMG Signals
359 Citations2004Kazuo Kiguchi, Toru Tanaka +1 more
A roboticExoskeleton for human upper-limb motion assist, a hierarchical neuro-fuzzy controller for the robotic exoskeleton, and its adaptation method are proposed.
Sliding mode fuzzy control
358 Citations2003Rainer Palm
The higher robustness of the modified FC over the modified SMC is discussed, and an FC for a higher-order system is proposed.
IEEE Transactions on Systems Man and CyberneticsFUZZY LOGIC CONTROLLER FOR A TRAFFIC JUNCTION
357 Citations1977Costas P. Pappis, E.H. Mamdani
A linguistic control algorithm is synthesized, capable of dealing with a continuously reproduced decisionmaking situation, and a fuzzy set theoretic representation of these instructions, called a fuzzy logic controller, was tried as an answer to the control modeling problem, which gave very satisfactory results.
IEEE Transactions on Fuzzy SystemsFuzzy adaptive sliding-mode control for mimo nonlinear systems
355 Citations2003Shaocheng Tong, Han‐Xiong Li
It is proved that uniformly asymptotic output feedback stabilization can be achieved with the tracking error approaching to zero.
AutomaticaAnalysis and design for a class of complex control systems Part I: Fuzzy modelling and identification
345 Citations1997S.G. Cao, N.W. Rees +1 more
This paper is the first of two dealing with the analysis and design of a class of complex control systems using a combination of fuzzy logic and modern control theory, which can be represented by a fuzzy aggregation of a set of local linear models.
AutomaticaAnalysis and design for a class of complex control systems part II: Fuzzy controller design
334 Citations1997S.G. Cao, N.W. Rees +1 more
The main contribution of this paper is the development of a decomposition principle that is, the design of a fuzzy discrete-time control system can be decomposed into a set of discrete- time subsystems.
IEEE Transactions on Fuzzy SystemsOn the interpretation and identification of dynamic Takagi-Sugeno fuzzy models
331 Citations2000Tor Arne Johansen, Robert Shorten +1 more
There exists a close relationship between dynamic Takagi-Sugeno fuzzy models and dynamic linearization when using affine local model structures, which suggests that a solution to the multiobjective identification problem exists, but it is also shown that the affineLocal model structure is a highly sensitive parametrization when applied in transient operating regimes.
IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)Analysis of direct action fuzzy PID controller structures
321 Citations1999George K. I. Mann, Bao-Gang Hu +1 more
The rule decoupled and one-input rule structures proposed in this paper provide greater flexibility and better functional properties than the conventional fuzzy PHD structures.
Intelligent Control: Fuzzy Logic Applications
314 Citations1995Clarence W. de Silva
Fuzzy Logic Applications Index: Software Tools for Fuzzy Logic Applications Index: Software Tools for Fuzzy Logic Applications Index.
IEEE Transactions on Fuzzy SystemsReinforcement structure/parameter learning for neural-network-based fuzzy logic control systems
304 Citations1994Chin‐Teng Lin, C.S.G. Lee
AutomaticaApplication of a fuzzy controller in a warm water plant
302 Citations1976Walter Kickert, H.R. van Nauta Lemke
Fuzzy algorithms based on linguistic rules describing the operator's control strategy are applied toControl of a warm water plant using fuzzy set theory.
IEEE Transactions on Fuzzy SystemsApproximation theory of fuzzy systems-MIMO case
297 Citations1995Xiao‐Jun Zeng, M.G. Singh
AutomaticaRobust control by fuzzy sliding mode
289 Citations1994Rainer Palm
The performance and the robustness of this kind of FC stems from their property of driving the system into the sliding mode (SM), in which the controlled system is invariant to parameter fluctuations and disturbances.
IEEE Transactions on Fuzzy SystemsStability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions
289 Citations2004Gang Feng
It is shown that the stability of the fuzzy dynamic system can be established if a piecewise Lyapunov function can be constructed, and moreover, thefunction can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software.
IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)Observers for Takagi-Sugeno fuzzy systems
284 Citations2002P. Bergsten, Rainer Palm +1 more
The main contribution is nonlinear observer analysis and design methods that can effectively deal with model/plant mismatches and consider the difficult case when the weighting functions in the Takagi-Sugeno fuzzy system depend on the estimated state.
IEEE Transactions on Fuzzy SystemsDecoupled fuzzy sliding-mode control
268 Citations1998Ji‐Chang Lo, Ya-Hui Kuo
The decoupled sliding-mode control (SMC) is used to control three highly nonlinear systems and confirms the validity of the proposed approach.
AutomaticaTheoretical and linguistic aspects of the fuzzy logic controller
268 Citations1979M. Braae, D.A. Rutherford
The so-called linguistic models that arise from this notation are shown to be extremely useful for modelling highly nonlinear low-order systems and for determining, explicitly, the rules of 'optimal' fuzzy logic controllers.
IEEE Transactions on Fuzzy SystemsRobust H/sub /spl infin// control for uncertain discrete-time-delay fuzzy systems via output feedback controllers
261 Citations2005Shengyuan Xu, James Lam
The purpose is the design of a full-order fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop system and guarantees an H/sub /spl infin// norm bound constraint on disturbance attenuation for all admissible uncertainties.
IEEE Transactions on Fuzzy SystemsFuzzy Identification Using Fuzzy Neural Networks With Stable Learning Algorithms
259 Citations2004Wen Yu, Xiaoou Li
New learning laws for Mamdani and Takagi-Sugeno-Kang type fuzzy neural networks based on input-to-state stability approach are suggested, which employ a time-varying learning rate that is determined from input-output data and model structure.
IEEE Transactions on Fuzzy SystemsOutput feedback robust H/sup /spl infin/#x221E;/ control of uncertain fuzzy dynamic systems with time-varying delay
255 Citations2000Hong Bae Park, Eun Tae Jeung +2 more
The Takagi-Sugeno fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state with sufficient conditions for the existence of robust H/sup /spl infin// controllers in terms of matrix inequalities.
IEEE Transactions on Fuzzy SystemsGeneral SISO Takagi-Sugeno fuzzy systems with linear rule consequent are universal approximators
249 Citations1998Hao Ying
It is proved that this general class of SISO TS fuzzy systems that use any type of continuous input fuzzy sets, TS fuzzy rules with linear consequent and a generalized defuzzifier containing the widely used centroid defuzzifiers as a special case can uniformly approximate any polynomial arbitrarily well.
Model Based Fuzzy Control
241 Citations1997Rainer Palm, Hans Hellendoorn +1 more
IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)Tuning of a neuro-fuzzy controller by genetic algorithm
240 Citations1999Teo Lian Seng, M. Khalid +1 more
This paper presents a neuro-fuzzy logic controller where all of its parameters can be tuned simultaneously by GA, and shows that the proposed controller offers encouraging advantages and has better performance.
IEEE Transactions on Fuzzy SystemsRobust H/sub ∞/ disturbance attenuation for a class of uncertain discrete-time fuzzy systems
240 Citations2000Yong‐Yan Cao, P.M. Frank
This paper proposes a sufficient condition on robust stability of the fuzzy models and some sufficient conditions are derived on robust -disturbance attenuation in which both robust stability and a prescribed performance are required to be achieved, irrespective of the uncertainties.
IEEE Transactions on Fuzzy SystemsNew methodology for analytical and optimal design of fuzzy PID controllers
235 Citations1999Bao-Gang Hu, George K. I. Mann +1 more
Simulation results show that the proposed fuzzy PID controller produces superior control performance to the conventional PID controllers, particularly in handling nonlinearities due to time delay and saturation.
IEEE Transactions on Neural NetworksObserver-Based Direct Adaptive Fuzzy-Neural Control for Nonaffine Nonlinear Systems
227 Citations2005Y.-G. Leu, W.-Y. Wang +1 more
An observer-based direct adaptive fuzzy-neural control scheme is presented for nonaffine nonlinear systems in the presence of unknown structure of nonlinearities and based on strictly-positive-real (SPR) Lyapunov theory, the stability of the closed-loop system can be verified.
IEEE Transactions on Fuzzy SystemsController synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions
225 Citations2003Gang Feng
Fuzzy Sets and SystemsDesign of fuzzy control systems with guaranteed stability
223 Citations1997Gang Feng, S.G. Cao +2 more
It is shown that this compensating controller guarantees global stability of the closed-loop fuzzy system and the issues of a state observer for the fuzzy system are addressed.
IEEE Transactions on Fuzzy SystemsApproximation accuracy analysis of fuzzy systems as function approximators
219 Citations1996Xiao‐Jun Zeng, M.G. Singh
It is proved that fuzzy systems can represent any linear and multilinear function and explicit expressions of fuzzy systems generated by the MoM defuzzified method are given.
IEEE Transactions on Circuits and Systems I Fundamental Theory and ApplicationsT-S fuzzy controllers for nonlinear interconnected systems with multiple time delays
215 Citations2005Feng‐Hsiag Hsiao, Cheng‐Wu Chen +3 more
To overcome the effect of modeling error between nonlinear multiple time-delay systems and T-S fuzzy models, a robustness design of fuzzy control via model-based approach is proposed in this paper.
AutomaticaFuzzy control of the activated sludge wastewater treatment process
213 Citations1980Richard M. Tong, M.B. Beck +1 more
It is concluded that an experimental fuzzy control algorithm constructed to reflect actual operational practice does rather well and that a fuzzy controller would be a useful and practical way of regulating the activated sludge process.
IEEE Transactions on Industrial ElectronicsFuzzy sliding-mode controllers with applications
213 Citations2001Q. P. Ha, Q.H. Nguyen +2 more
The proposed method can have a number of industrial applications including the joint control of a hydraulically actuated mini-excavator as presented in this paper.
Fuzzy Sets and SystemsDesign and analysis of a fuzzy proportional-integral-derivative controller
212 Citations1996D. Misir, Heidar Malki +1 more
The design principle, tracking performance and stability analysis of a fuzzy proportional-integral (PI) plus a derivative (D) controller, derived from the conventional continuous-time linear PI+D controller, and computer simulation results have shown the new fuzzy controller indeed has satisfactory tracking performance.
IEEE Transactions on Fuzzy SystemsA comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators
210 Citations2000Wenli Xu, Naiyao Zhang +1 more
New sufficient conditions for simplified fuzzy systems and linear TS fuzzy systems as universal approximators are given, respectively and a comparative study on existing sufficient conditions is carried out with numeric examples.
IEEE Transactions on Neural NetworksA genetic-based neuro-fuzzy approach for modeling and control of dynamical systems
209 Citations1998Wael Farag, V.H. Quintana +1 more
A linguistic (qualitative) modeling approach which combines the merits of the fuzzy logic theory, neural networks, and genetic algorithms (GA's) in a fuzzy-neural network (FNN) form which can handle both quantitative and qualitative knowledge.
IEEE Transactions on Fuzzy SystemsStability of fuzzy control systems with bounded uncertain delays
209 Citations2002Yi Zhang, Pheng‐Ann Heng
Conditions for global exponential stability of free fuzzy systems with uncertain delays are derived and criteria for design of nonlinear fuzzy controllers to feedback control the stability of global non linear fuzzy systems are given.
IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)Adaptive Fuzzy Terminal Sliding Mode Controller for Linear Systems With Mismatched Time-Varying Uncertainties
208 Citations2004Chin‐Wang Tao, J.S. Taur +1 more
An adaptive fuzzy terminal sliding mode controller for linear systems with mismatched time-varying uncertainties is presented and the chattering around the sliding surface in the sliding mode control can be reduced by the proposed design approach.
IEEE Transactions on Circuits and Systems I Fundamental Theory and ApplicationsH∞ filtering for fuzzy dynamical systems with D stability constraints
204 Citations2003Sing Kiong Nguang, Wudhichai Assawinchaichote
Fuzzy Sets and SystemsNeural network implementation of fuzzy logic
202 Citations1992James M. Keller, Ronald R. Yager +1 more
A neural network structure is proposed as a means of performing fuzzy logic inference that reduces to crisp modus ponens when the inputs are crisp sets and under suitable conditions the degree of specificity of the consequences of the inference is a monotone function of the degree-of-specificity of the input.
IEEE Transactions on Fuzzy SystemsOnline adaptive fuzzy neural identification and control of a class of mimo nonlinear systems
200 Citations2003Yang Gao, Meng Joo Er
A robust Adaptive Fuzzy Neural Controller suitable for identification and control of a class of uncertain MIMO nonlinear systems using the Lyapunov approach is presented.
IEEE Transactions on Fuzzy SystemsAn improved stable adaptive fuzzy control method
199 Citations1999Kurt Fischle, Dierk Schröder
The main focus of the paper is on the presentation of a second method, which extends the applicability of stable adaptive fuzzy control to a broader class of nonlinear plants; this is achieved by an improved controller structure adopted from the neural network domain.
IEEE Transactions on Fuzzy SystemsAdaptive fuzzy H/sub /spl infin// stabilization for strict-feedback canonical nonlinear systems via backstepping and small-gain approach
197 Citations2005Yansheng Yang, Changjiu Zhou
The semiglobal uniform ultimate bound of adaptive control in the presence of unstructured uncertainties can be guaranteed, the adaptive mechanism with only one learning parameter is obtained and the possible controller singularity problem in some of the existing adaptive control schemes with feedback linearization techniques can be removed.
International Journal of ControlStability analysis and design for a class of continuous-time fuzzy control systems
197 Citations1996S.G. Cao, N.W. Rees +1 more
The main contribution of this paper is the development of an equivalent principle; that is, the design of a fuzzy control system is equivalent to thedesign of a set of linear time-invariant ‘extreme’ systems.
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195 Citations2001Hugang Han, Chun‐Yi Su +1 more
IEEE Transactions on Fuzzy SystemsA probabilistic fuzzy logic system for modeling and control
191 Citations2005Zhi Liu, Han‐Xiong Li
In this paper, a probabilistic fuzzy logic system (PFLS) is proposed for the modeling and control problems and shows a better performance than an ordinary FLS in stochastic circumstance.
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191 Citations2000Jian‐Xin Xu, Chang-Chieh Hang +1 more
By virtue of using the simplest structure of fuzzy logic control, the stability of the nonlinear control system can be analyzed and a sufficient BIBO stability condition is given.
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