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This paper is concerned with stability and stabilization of fuzzy bilinear systems with time-varying delay. First, we consider the stability of the closed-loop systems by assuming a special form of a fuzzy controller. Both delay-independent and delay-dependent stability conditions are obtained. These stability conditions are given in terms of linear matrix inequality (LMIs). Based on these stability...
In this study, a stabilization problem for continuous-time fuzzy systems subject to multiple time-varying delays in both state and input variables is addressed. Based on Lyapunov-Krasovskii functional and Pólya theorem, a sufficient stabilization condition is stated in terms of LMIs. Therefore, stabilizing controllers can be obtained easily by existing convex algorithms. Unlike some existing methods,...
The stabilization problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated. The time delays appear in both the state and the control input. A new descriptor model, which is equivalent to the resulting closed-loop system, is introduced. Based on this, some new delay-independent and delay-dependent conditions for the existence of state-feedback...
The delay-dependent robust Hinfin control problem for a class of nonlinear time-delay system is investigated in this paper. An uncertain Takagi-Sugeno (T-S) fuzzy model is adopted for representing a nonlinear system with time-varying delay, in which the modeling errors are absorbed in the uncertain part. The design method of delay-dependent robust Hinfin controller is firstly established via the...
This paper investigates delay-dependent H∞ filter design problems for discrete-time fuzzy systems with time-varying delays. Firstly, a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DDPLKF) is proposed, in which both the upper bound of delays and the delay interval are considered. Based on this DDPLKF, the delay-dependent stability criteria for discrete-time systems with time-varying...
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