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徐胜元, Shengyuan Xu, James Lam
IEEE TRANSACTIONS ON FUZZY SYSTEMS VOL.13 NO.1(2005)82-93,-0001,():
-1年11月30日
This paper investigates the problem of robust output feedback H∞ control for a class of uncertain discrete-time fuzzy systems with time delays. The state-space Takagi–Sugeno fuzzy model with time delays and norm-bounded parameter uncertainties is adopted. The purpose is the design of a full-order fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop system and guarantees an H∞ norm bound constraint on disturbance attenuation for all admissible uncertainties. In terms of linear matrix inequalities (LMIs), a sufficient condition for the solvability of this problem is presented. Explicit expressions of a desired output feedback controller are proposed when the given LMIs are feasible. The effectiveness and the applicability of the proposed design approach are demonstrated by applying this to the problem of robust H∞ control for a class of uncertain nonlinear discrete delay systems.
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【期刊论文】A Delay-Dependent Approach to Robust H∞ Filtering for Uncertain Distributed Delay Systems
徐胜元, Shengyuan Xu, James Lam, Senior Member, IEEE, Tongwen Chen, and Yun Zou
IEEE TRANSACTIONS ON SIGNAL PROCESSING,VOL.53 NO.10(2005)3764-3772,-0001,():
-1年11月30日
This paper is concerned with the problem of robust H∞ filtering for linear systems with both discrete and distributed delays, which are subject to norm-bounded time-varying parameter uncertainties. Both the state and measurement equations are assumed to have discrete and distributed delays. A delay-dependent condition for the existence of H∞ filters is proposed, which is less conservative than existing ones in the literature. Via solutions to certain linear matrix inequalities, general full-order filters are designed that ensure asymptotic stability and a prescribed H∞ performance level, irrespective of the parameter uncertainties. An illustrative example is provided to demonstrate the effectiveness and the reduced conservatism of the proposed method.
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【期刊论文】H∞ output feedback control for uncertain stochastic systems with time-varying delays✩
徐胜元, Shengyuan Xu a, Tongwen Chen b, ∗
Automatica 40(2004)2091-2098,-0001,():
-1年11月30日
This paper deals with the problem of H∞ output feedback control for uncertain stochastic systems with time-varying delays. The parameter uncertainties are assumed to be time-varying norm-bounded. The aim is the design of a full-order dynamic output feedback controller ensuring robust exponential mean-square stability and a prescribed H∞ performance level for the resulting closed-loop system, irrespective of the uncertainties. A sufficient condition for the existence of such an output feedback controller is obtained and the expression of desired controllers is given
Exponentially mean square stable, Output feedback, Robust H∞ control, Stochastic systems, Uncertain time-delay systems
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