Delay-Dependent Stability Analysis and Controller Synthesis for Discrete-Time T–S Fuzzy Systems With Time Delays

Authors:
Cai-Lian Chen;Gang Feng;Xin-Ping Guan
Affiliations:
Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong;-;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2005

Citing 0
Cited 18

Stability analysis of discrete-time fuzzy-model-based control systems with time delay: Time delay-independent approach

Fuzzy Sets and Systems
Delay-dependent H∞ fuzzy observer-based control for discrete-time nonlinear systems with state delay

Fuzzy Sets and Systems
A survey of linear matrix inequality techniques in stability analysis of delay systems

International Journal of Systems Science
Fuzzy output regulator design of discrete affine systems with multiple time-varying delays

Fuzzy Sets and Systems
Delay-dependent robust H∞ control for T--S fuzzy system with interval time-varying delay

Fuzzy Sets and Systems
Stability analysis and stabilization for discrete-time fuzzy systems with time-varying delay

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Delay-dependent H∞ filter design for discrete-time fuzzy systems with time-varying delays

IEEE Transactions on Fuzzy Systems
Robust fuzzy observer-based fuzzy control design for nonlinear discrete-time systems with persistent bounded disturbances

IEEE Transactions on Fuzzy Systems
Delay-dependent robust H∞ control for uncertain discrete-time fuzzy systems with time-varying delays

IEEE Transactions on Fuzzy Systems
Robust output regulation of T-S fuzzy systems with multiple time-varying state and input delays

IEEE Transactions on Fuzzy Systems
Assessment of linguistic dynamic cause-and-effect rules with delays

ACC'09 Proceedings of the 2009 conference on American Control Conference
Fuzzy immune control and new smith predictor for wireless networked control systems

CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
T-S fuzzy controllers for a class of nonlinear systems with uncertainties and input delay

FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
A new design of delay-dependent robust H∞filtering for discrete-time T-S fuzzy systems with time-varying delay

IEEE Transactions on Fuzzy Systems
Decentralized H∞ filter design for discrete-time interconnected fuzzy systems

IEEE Transactions on Fuzzy Systems
Delay-dependent non-fragile H∞ filtering for uncertain fuzzy systems based on switching fuzzy model and piecewise Lyapunov function

International Journal of Automation and Computing
Passivity and passification for stochastic Takagi-Sugeno fuzzy systems with mixed time-varying delays

Neurocomputing

Quantified Score

Hi-index	0.00

Visualization

Abstract

Based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DPLKF), this paper presents delay-dependent stability analysis and synthesis methods for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delays. It is shown that the stability and stabilization with some required performance can be established for the closed loop control system if there exists a DPLKF and that the DPLKF and the corresponding controller can be obtained by solving a set of linear matrix inequalities (LMIs). New algorithms have also been developed to obtain the maximum value of the allowable constant delay and the suboptimal performance upper bound. An example is finally presented to demonstrate the efficiency and advantage of the proposed methods