H∞ control for uncertain switched nonlinear singular systems with time delay

This paper investigates the H∞ control problem for a class of uncertain switched nonlinear singular systems with time delay. By appropriately introducing some auxiliary variables and using a Lyapunov–Metzler inequality approach, some sufficient conditions for finding a suitable state-dependent switching law guaranteeing the switched system meets the desired control objective are firstly given. Then, these results are extended to construct a state feedback controller. Based on the derived results, the existence conditions of an observer-based output feedback H∞ controller for the switched system are provided and formulated by using a combination of a linear matrix inequality (LMI) approach and a linear search algorithm. Finally, some numerical examples are performed to show the effectiveness and superiority of the proposed methods.

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