Dynamic output feedback guaranteed cost control for linear systems with interval time-varying delays in states and outputs
Applied Mathematics and ComputationPublished 23 May 2012
Mai Viết Thuận, Vu N. Phat, Hieu Trinh
Citations28
SJR quartileQ1
SJR score0.89
SNIP1.40
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TL;DR
By constructing a set of multiple Lyapunov–Krasovskii functionals which include triple-integral terms, a new criterion for the existence of dynamic output feedback guaranteed cost controllers is established and expressed in terms of linear matrix inequality (LMI).
Abstract
This paper addresses the dynamic output feedback guaranteed cost control problem of a class of time-delay systems where the state and output contain interval non-differentiable time-varying delays. The proposed controller uses only the delayed output measurement to stabilize the closed-loop system and guarantee an adequate level of system performance. By constructing a set of multiple Lyapunov–Krasovskii functionals which include triple-integral terms, a new criterion for the existence of dynamic output feedback guaranteed cost controllers is established and expressed in terms of linear matrix inequality (LMI). A numerical example is given to illustrate the obtained results.
Keywords
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