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This paper considers the problem of designing a non-fragile fault-tolerant controller for a class of nonlinear uncertain systems with time-varying delays and controller gain perturbations. Based on the Lyapunov stability theory and the linear matrix inequality (LMI) approach, a sufficient conditions to get a fault-tolerant controller is given, which results in the closed-loop system being asymptotically...
This paper addresses the problem of robust L2-L∞ Filtering for a class of nonlinear uncertain stochastic time delay systems. Attention is focused on the design of a stochastic L2-L∞ filter that ensuring both the asymptotic mean-square stability and a prescribed L2-L∞ performance level of the filtering error system. A full-order filter is designed based on the linear matrix inequality. Sufficient conditions...
This paper focuses on the problem of guaranteed cost control of uncertain time-varying delay systems. Stability and stabilization conditions are first proposed, and sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequalities (LMI). Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed...
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