Optimization of interval type-2 fuzzy logic controllers for a perturbed autonomous wheeled mobile robot using genetic algorithms
Information SciencesPublished 14 January 2009
Ricardo Martínez, Oscar Castillo, Luis T. Aguilar
Citations336
SJR quartileQ1
SJR score1.80
SNIP1.98
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
We describe a tracking controller for the dynamic model of a unicycle mobile robot by integrating a kinematic and a torque controller based on type-2 fuzzy logic theory and genetic algorithms. Computer simulations are presented confirming the performance of the tracking controller and its application to different navigation problems.
Keywords
Computer ScienceEngineering
Choice Reviews OnlineGenetic algorithms in search, optimization, and machine learning
49,278 Citations1989
This book brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields.
The MIT Press eBooksAdaptation in Natural and Artificial Systems
35,568 Citations1992John H. Holland
Initially applying his concepts to simply defined artificial systems with limited numbers of parameters, Holland goes on to explore their use in the study of a wide range of complex, naturally occuring processes, concentrating on systems having multiple factors that interact in nonlinear ways.
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.
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.
Systems & controlSwitching in Systems and Control
6,840 Citations2003Daniel Liberzon
I. Stability under Arbitrary Switching, Systems not Stabilizable by Continuous Feedback, and Systems with Sensor or Actuator Constraints with Large Modeling Uncertainty.
Asymptotic Stability and Feedback Stabilization
2,615 Citations1982R. Brockett
IEEE Transactions on Fuzzy SystemsType-2 fuzzy sets made simple
2,533 Citations2002Jerry M. Mendel, Robert John
Establishing a small set of terms that let us easily communicate about type-2 fuzzy sets and also let us define such sets very precisely, and presenting a new representation for type- 2 fuzzy sets, and using this new representation to derive formulas for union, intersection and complement of type-1 fuzzy sets without having to use the Extension Principle.
An Introduction to Fuzzy Control
2,343 Citations1993Dimiter Driankov, Hans Hellendoorn +1 more
Fuzzy Control
2,092 Citations1997Kevin M. Passino, Stephen Yurkovich
IEEE Transactions on Fuzzy SystemsInterval type-2 fuzzy logic systems: theory and design
1,954 Citations2000Qi‐Lian Liang, Jerry M. Mendel
Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions
1,911 Citations2001Jerry M. Mendel
This chapter discusses Type-2 Fuzzy Sets, a New Direction for FLSs, and Relations and Compositions on different Product Spaces on Different Product Spaces, as well as operations on and Properties of Type-1 Non-Singleton Type- 2 FuzzY Sets.
IEEE Transactions on Fuzzy SystemsType-2 fuzzy logic systems
1,619 Citations1999N.N. Karnik, Jerry M. Mendel +1 more
A type-2 fuzzy logic system (FLS) is introduced, which can handle rule uncertainties and its implementation involves the operations of fuzzification, inference, and output processing, which consists of type reduction and defuzzification.
Information SciencesCentroid of a type-2 fuzzy set
1,197 Citations2001Nilesh N. Karnik, Jerry M. Mendel
The centroid and generalized centroid of a type-2 fuzzy set are introduced, and how to compute them is explained, and examples are given that compare the exact computational results with the approximate results.
Applied Mechanics ReviewsNonholonomic Mechanics and Control
1,123 Citations2004AM Bloch, Bernard Brogliato
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.
Fuzzy Sets and SystemsTen years of genetic fuzzy systems: current framework and new trends
821 Citations2003Óscar Cordón, Fernando Gomide +3 more
IEEE Transactions on Robotics and AutomationAdaptive tracking control of a nonholonomic mobile robot
789 Citations2000Takanori Fukao, Hidetoshi Nakagawa +1 more
An adaptive extension of the kinematic controller for the dynamic model of a nonholonomic mobile robot with unknown parameters is proposed, and a torque adaptive controller is derived by using the k cinematic controller.
IEEE Transactions on Neural NetworksControl of a nonholonomic mobile robot using neural networks
704 Citations1998Rafael Fierro, Frank L. Lewis
Genetic Algorithms: Concepts and Designs
578 Citations1999K.F. Man, K.S. Tang +1 more
Genetic Algorithms in Speech Recognition Systems.- 8.2.1 Background of Speech Recogning Systems.
Machine LearningLearning with genetic algorithms: An overview
501 Citations1988Kenneth De Jong
This paper provides a brief overview of how one might use genetic algorithms as a key element in learning systems.
Advances in fuzzy systemsFuzzy Algorithms: With Applications to Image Processing and Pattern Recognition
496 Citations1996Zheru Chi, Hong Yan +1 more
Fuzzy rules and defuzzification: rules based on experience learning from examples decision tree approach neural network approach minimization of fuzzy rulesdefuzzification and optimization applications concluding remarks.
IEEE Transactions on Control Systems TechnologySliding-Mode Tracking Control of Nonholonomic Wheeled Mobile Robots in Polar Coordinates
387 Citations2004D. Chwa
Constraints on the desired linear and angular velocities as well as the posture of the mobile robot are eliminated unlike the previous studies based on kinematics expressed in polar coordinates, and arbitrary trajectories can be followed even with large initial tracking errors and bounded disturbances.
IEEE Transactions on Control Systems TechnologyTracking control of unicycle-modeled mobile robots using a saturation feedback controller
380 Citations2001Ti-Chung Lee, Kai‐Tai Song +2 more
The tracking control problem with saturation constraint for a class of unicycle-modeled mobile robots is formulated and solved using the backstepping technique and the idea from the LaSalle's invariance principle, and computer simulations confirm the effectiveness of the proposed tracking control law.
International Journal of ControlGlobally asymptotically stable ‘PD+’ controller for robot manipulators
373 Citations1988Brad Paden, RAVI PANJA
IEEE Computational Intelligence MagazineUncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions (Mendel, J.M.; 2001) [book review]
338 Citations2007Woei Wan Tan, Teck Wee Chua
The book proves to be a valuable resource for professionals seeking to work with fuzzy sets in general and type-2 fuzzy setsIn particular.
Information SciencesExperimental study of intelligent controllers under uncertainty using type-1 and type-2 fuzzy logic
254 Citations2006Roberto Sepúlveda, Oscar Castillo +3 more
This paper deals with the design of control systems using type-2 fuzzy logic for minimizing the effects of uncertainty produced by the instrumentation elements, environmental noise, etc.
IEEE Transactions on Fuzzy SystemsGenetic tuning of fuzzy rule deep structures preserving interpretability and its interaction with fuzzy rule set reduction
232 Citations2005Jorge Casillas, Óscar Cordón +2 more
A genetic tuning process for jointly fitting the fuzzy rule symbolic representations and the meaning of the involved membership functions and the use of linguistic hedges to perform slight modifications keeping a good interpretability is introduced.
IEEE Transactions on Fuzzy SystemsA Proposal for the Genetic Lateral Tuning of Linguistic Fuzzy Systems and Its Interaction With Rule Selection
184 Citations2007Rafael Alcalá, Jesús Alcalá‐Fdez +1 more
A new postprocessing approach is proposed to perform an evolutionary lateral tuning of membership functions, with the main aim of obtaining linguistic models with higher levels of accuracy while maintaining good interpretability, using a new rule representation scheme base on the linguistic 2-tuples representation model.
Fuzzy Modelling: Paradigms and Practice
176 Citations2011Witold Pedrycz
Fuzzy Modelling Paradigms and Practice provides an up-to-date and authoritative compendium of fuzzy models, identification algorithms and applications and addresses the main design principles governing the development of rule-based models.
IEEE Transactions on Robotics and AutomationA Global Output-Feedback Controller for Simultaneous Tracking and Stabilization of Unicycle-Type Mobile Robots
163 Citations2004K.D. Do, Zhong‐Ping Jiang +1 more
A time-varying global output-feedback controller that solves both tracking and stabilization for unicycle-type mobile robots simultaneously at the torque level is presented.
International Journal of Uncertainty Fuzziness and Knowledge-Based SystemsA MULTI-OBJECTIVE GENETIC ALGORITHM FOR TUNING AND RULE SELECTION TO OBTAIN ACCURATE AND COMPACT LINGUISTIC FUZZY RULE-BASED SYSTEMS
124 Citations2007Rafael Alcalá, María José Gacto +2 more
A new post-processing method is presented that by considering selection of rules together with tuning of membership functions gets solutions only in the Pareto zone with the highest accuracy, i.e., containing solutions with the least number of possible rules but still presenting high accuracy.
Applied Soft ComputingSoft Computing for Control of Non-Linear Dynamical Systems
113 Citations2003Oscar Castillo, Patricia Melín +1 more
Local path control for an autonomous vehicle
112 Citations2003W. L. Nelson, Ingemar J. Cox
Results on the control system performance derived from a computer simulation of the cart and its operating environment, and from an experimental cart, indicate that the system can provide reliable, accurate, and safe operation.
Springer eBooksGenetic Algorithms: Concepts and Designs with Disk
104 Citations1999K.F. Man, K.S. Tang +3 more
Dextrose, olive oil, casein, and the mixture abolished the interdigestive cycles in both pouch and duodenum and decreased intrapouch pressure compared with the saline control.
Advances in soft computingAn Efficient Computational Method to Implement Type-2 Fuzzy Logic in Control Applications
102 Citations2007Roberto Sepúlveda, Oscar Castillo +2 more
Studies in fuzziness and soft computingSoft Computing for Control of Non-Linear Dynamical Systems
101 Citations2001Oscar Castillo, Patricia Melín
A new theory of Fuzzy Chaos for Simulation of Non-Linear Dynamical Systems and a method for Automated Parameter Selection Using Genetic Algorithms are presented.
A method of indoor mobile robot navigation by using fuzzy control
84 Citations2002Shintaro Ishikawa
A sensor-based navigation method using fuzzy control, whose purpose is to construct expert knowledge for efficient and better piloting of the AMRs, is presented and the effectiveness of the established rules and the effect of fuzzy control on AMR navigation are discussed on the basis of simulations.
Fuzzy Sets and SystemsHeuristic fuzzy-neuro network and its application to reactive navigation of a mobile robot
76 Citations2000Kai‐Tai Song, Liang-Hwang Sheen
A heuristic fuzzy-neuro network is developed for pattern-mapping between quantized ultrasonic sensory data and velocity commands to the robot to enable an autonomous mobile robot to navigate safely and efficiently to a target position in a previously unknown environment.
Information SciencesOn a 50% savings in the computation of the centroid of a symmetrical interval type-2 fuzzy set
58 Citations2004Jerry M. Mendel
It is proved that if the footprint of uncertainty for an interval T2 FS is symmetrical about the primary variable y at y = m, then the centroid is also asymmetrical about y =m and its defuzzified value equals m.
Fuzzy control of a mobile robot: a new approach
39 Citations2002S. Bentalba, Ahmed El Hajjaji +1 more
A general analysis and design method are proposed to stabilize the dynamics of the mobile robot interpolated by two linear systems with two fuzzy rules based on converting the Stability analysis of a fuzzy control system to the stability analysis of an overvaluing system for the mobile Robot.
Soft ComputingSoft computing for the intelligent robust control of a robotic unicycle with a new physical measure for mechanical controllability
26 Citations1998S.V. Ulyanov, Shinji Watanabe +4 more
A general measure to estimate the mechanical controllability qualitatively and quantitatively, even if any control scheme is applied is provided and can be computed using a Lyapunov function coupled with the thermodynamic entropy change.
Fuzzy logic implementation in mobile robot control
26 Citations2002S. Pawlowski, P. Dutkiewicz +2 more
An implementation of fuzzy logic for control of type (2-0) mobile robots with fuzzy controllers for trajectory tracking and obstacle avoidance and simulation results are compared to those of a nonlinear control algorithm.
IEEE Transactions on Automatic ControlPersistency of excitation for nonminimal models of systems having purely deterministic disturbances
26 Citations1985Graham C. Goodwin, J. Norton +1 more
Trajectory tracking control of a laser-guided wheeled mobile robot
19 Citations2005Ching‐Chih Tsai, Hung‐Hsing Lin +1 more
