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Communications in Nonlinear Science and Numerical Simulation, Volume 18, Issue 4, April 2013, Pages 1047-1056.
Mohamad S. Alwan, Xinzhi Liu, Wei-Chau Xie.
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 and
Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Abstract
This paper is concerned with the problem of designing a robust reliable H∞ control for uncertain stochastic systems with time delay (USSD) and time-varying norm-bounded parametric uncertainties in the system states. The faulty actuators are considered as a disturbance signal to the system which is augmented with system disturbance input. The main objective of the paper is presenting a state feedback controller that guarantees input-to-state stability (ISS) of the plant and an H∞ norm-bound constraint on the attenuation of the augmented disturbance for all admissible uncertainties and actuator failures. The problem is solved by using Lyapunov functions together with the Razumikhin methodology. To clarify the proposed results, some illustrative examples are presented.
