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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 with existing convex algorithms. Unlike existing methods,...
This paper proposes an output tracking control via virtual reference model for a class of discrete-time systems with time-varying delay and disturbances. In this proposed scheme, we combine a virtual reference model (VRM) and an observer-based fuzzy control strategy to develop output tracking controller. The Takagi-Sugeno fuzzy observer is used to estimate immeasurable state, while the controller...
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...
In this paper, the problems of passivity analysis and passive control of continuous-time Takagi-Sugeno (T-S) fuzzy time-varying delayed systems are studied. The analysis is based on the concept of very-strict passivity which is shown to be restrictive than the usual passivity. Novel techniques are applied to derive delay-dependent conditions for the solvability of the problem of designing a state-feedback...
This paper investigates the problem of delay dependent robust stability analysis and Hinfin filtering design for a class of uncertain continuous-time nonlinear systems with time-varying state delay represented by T-S fuzzy models. Based on a newly developed Lyapunov-Krasovskii functional combined with an improved free-weighting matrix technique, a new sufficient condition for robust stability analysis...
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...
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