Abstract
This paper investigates the robust reliable L ∞ control for a class of uncertain switched nonlinear systems with time delay. Firstly, L ∞ performance condition for nonlinear switched system with time delay is proposed. Then, a sufficient condition of exponential stability with L ∞ performance for switched system is given. Furthermore, a design methodology of the robust L ∞ reliable control for switched nonlinear systems with time delay and parameter uncertainties is presented. The proposed state feedback controller, which guarantees exponential stability of closed-loop system, can be obtained using a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the main results.
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