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This paper deals with the problems of robust stabilization and robust passive control for uncertain discrete Takagi-Sugeno (T-S) fuzzy time-delay systems. The parametric uncertainty is assumed to be norm bounded. Based on Lyapunov stability theory, a sufficient condition on the existence of delay-dependent robust passive controllers is derived firstly. Then, with the help of linear matrix inequality...
In this paper, the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with multiple time-delays is investigated. By utilizing the Lyapunov stability theory and the linear matrix inequality (LMI) approach, a novel delay-dependent absolutely stable condition is derived. In addition, by using Simulink toolbox in MATLAB, a simulation example is provided to demonstrate...
This paper aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm bounded uncertainties via Takagi-Sugeno (T-S) fuzzy model. The stabilization conditions are given in the form of linear matrix inequalities using a single Lyapunov-Krasovskii functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter....
A class of non linear discrete time models with periodic parameters is considered in a Takagi-Sugeno (TS) form. The main objective of this paper is to show the potential improvement in the area of nonlinear periodic system control and observation using TS models. In order to achieve this goal, two problems are developed in this paper. The first part is dedicated to the design of a periodic TS fuzzy...
This paper discusses robust stability and stabilization of uncertain discrete-time fuzzy systems that have time-varying delay in state. There have been only a few results on stability and stabilization for discrete-time fuzzy time-delay systems. Especially, few results on robust stability and stabilization for a class of uncertain discrete-time fuzzy time-delay systems have appeared in the literature...
This paper considers the robust Hinfin filtering problem for uncertain discrete-time T-S fuzzy systems with time-varying delays where the variations of the parameters are not random. The uncertainties we investigate in this paper are norm-bounded. The problem is the design of a stable filter and a prescribed Hinfin performance of the filtering error system for all admissible uncertainties. Based on...
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