Delay-dependent guaranteed cost control for uncertain T-S fuzzy systems with time-varying delays

Authors:
Yi-You Hou;Teh-Lu Liao;Jun-Juh Yan;Chang-Hua Lien
Affiliations:
Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan, R.O.C.;Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan, R.O.C.;Department of Computer and Communication, Shu-Te University, Kaohsiung, Taiwan, R.O.C.;Department of Electrical Engineering, I-Shou University, Kaohsiung, Taiwan, R.O.C.
Venue:
MIC'06 Proceedings of the 25th IASTED international conference on Modeling, indentification, and control
Year:
2006

Citing 13
Cited 0

Stability analysis and design of fuzzy control systems

Fuzzy Sets and Systems
Stability of Time-Delay Systems

Stability of Time-Delay Systems
Stabilizability of linear quadratic state feedback for uncertain fuzzy time-delay systems

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Stability and stabilizability of fuzzy-neural-linear control systems

IEEE Transactions on Fuzzy Systems
Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory, and linear matrix inequalities

IEEE Transactions on Fuzzy Systems
An approach to fuzzy control of nonlinear systems: stability and design issues

IEEE Transactions on Fuzzy Systems
Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach

IEEE Transactions on Fuzzy Systems
Output feedback robust H∞ control of uncertain fuzzy dynamic systems with time-varying delay

IEEE Transactions on Fuzzy Systems
A new sufficient condition for stable fuzzy control system and its design method

IEEE Transactions on Fuzzy Systems
Stability of fuzzy control systems with bounded uncertain delays

IEEE Transactions on Fuzzy Systems
Fuzzy guaranteed cost control for nonlinear systems with time-varying delay

IEEE Transactions on Fuzzy Systems
Delay-Dependent Robust Control for T–S Fuzzy Systems With Time Delay

IEEE Transactions on Fuzzy Systems
Technical Communique: Delay-dependent output feedback guaranteed cost control for uncertain time-delay systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.00

Visualization

Abstract

The problem of guaranteed cost control for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated through linear matrix inequality (LMI) approach. Based on Lyapunov-Krasovskii functional theory and LMI technique, a state feedback controller is proposed to stabilize the uncertain T-S fuzzy systems and minimize the guaranteed cost of the closed-loop systems. A delay-dependent stability criterion is derived to guarantee the asymptotical stability of closed-loop systems. By constructing a novel Lyapunov functional, the supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed delay-dependent stability criterion. A numerical example is given to verify the validity of the results developed in this paper.