This paper deals with the problems of stability analysis and control designs for a class of delay-dependent nonlinear systems with input constraint when using T-S fuzzy model in consideration of the uncertainties in the system. As a result, it arrives at two kinds of feedback controllers in terms of linear matrix inequalities (LMIs), in which the latter tries to use less information about the d...

In this paper, we introduce a robust state feedback controller design using Linear Matrix Inequalities (LMIs) and guaranteed cost approach for Takagi-Sugeno fuzzy systems. The purpose on this work is to establish a systematic method to design controllers for a class of uncertain linear and non linear systems. Our approach utilizes a certain type of fuzzy systems that are based on Takagi-Sugeno ...

In this paper, we consider the problem of decentralized robust guaranteed cost control for T-S fuzzy interconnected systems with time delays and uncertain parameters. The sufficient conditions are given, under which we can design decentralized robust guaranteed cost controllers to provide the stability of the closed-loop system and guarantee an adequate level of performance for all admissible u...

A discrete time fault tolerant control system (DTFTCS) model in noisy environments driven by a delayed state feedback controller is developed. Delay-independent results are obtained using Lyapunov function approach and formulated as feasibility solution for a set of linear matrix inequalities (LMIs). In particular, second moment stability for the proposed feedback-delayed DTFTCS is considered. ...

Abstract -In this paper, the problem of H∞ filtering design is studied for nonlinear sampled-data systems using the Takagi-Sugeno (T-S) fuzzy model approach. Traditionally, the sufficient conditions for the existence of such H∞ filter are characterized in terms of the solution of a differential Hamilton-Jacobi inequality with jumps, which is equivalent to solving the partial differential inequa...

It is well known that some important classes of systems (e.g. inverted pendulums, oscillators, double integrators) that cannot be stabilized by a static output-feedback, may be stabilized by inserting an artificial time-delay in the feedback. Static output-feedback controllers have advantages over observerbased controllers in the presence of uncertainties in the system matrices and/or uncertain...

in this paper, the problems of robust stabilization and$h_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the takagi-sugeno (t-s) fuzzymodel have been studied. by constructing a new lyapunov-krasovskiifunctional (lkf) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $h_{infty}$ control scheme are p...

This paper provides a unified framework for the admissibility of class singular fractional-order systems with given fractional order in interval (0, 2). These necessary and sufficient conditions are derived terms linear matrix inequalities (LMIs). The considered orders range from 0 to 2 without separating ranges into 1) [1, 2) discuss admissibility. Moreover, uncertain system is norm-bounded. q...

This paper presents a novel approach for the controller synthesis in discrete-time linear systems (DTLS) with uncertainty polytopical type, by means of the extended static feedback of the measured output. The method consists of designing feedback gains for the injection of the output and its derivative, which corresponds to the control signal. Conditions for the existence of such controllers ar...

A bst ract : A delay2dependent Hinfinity control for descriptor systems with a state2delay is investigated. The purpose of the problem is to design a linear memoryless state2feedback controller such that the resulting closed2loop system is regular ,impulse free and stable with an H-infinity norm bound. Firstly , a delay2dependent bounded real lemma (B RL) of the time2delay descriptor systems is...