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This paper investigates the problem of fuzzy state feedback robust control for standard discrete-time fuzzy singularly perturbed systems(FSPSs) with time-delay in states. Based on a matrix spectral norm approach, an ε-dependent sufficient condition, which ensures the existence of fuzzy state feedback controller such that the resulting closed-loop system is asymptotically stable, is provided. A simulation...
The problem of fuzzy static output feedback H∞ control is investigated for a class of nonlinear systems with time-varying delay. Specifically, the considered system is approximated by a Takagi-Sugeno (T-S) fuzzy model. By using linear matrix inequality (LMI) methods, we design a fuzzy static output feedback H∞ controller, which guarantees asymptotic stability and a prescribed H∞ index for the resulting...
This paper investigates the problem of static output feedback H∞ control for a class of nonlinear systems via a linear matrix inequality (LMI) approach. The considered system is approximated by the Takagi-Sugeno (T-S) fuzzy model. Based on a Lyapunov functional method, we develop a H∞ control law which makes the closed-loop system is asymptotically stable with guaranteed H∞ performance. In contrast...
In this paper, the delay-dependent H∞ performance criterion which possesses decoupling structure is derived for systems with time-varying delay. It can reduce conservatism inherent in the classical quadratic method by providing a parameter-dependent Lyapunov function. Then the robust H∞ controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms...
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