Abstract
This paper focuses on the problem of robust H∞ control for a class of switched nonlinear systems with neutral uncertainties via the multiple Lyapunov function approach. Uncertainties are allowed to appear in channels of state, control input and disturbance input. Conditions for the solvability of the robust H∞ control problem and design of both switching law and controllers are presented. As an application, a hybrid state feedback strategy is proposed to solve the standard robust H∞ control problem for nonlinear systems when no single continuous controller is effective.
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