Robust H∞ control for a class of uncertain switched nonlinear systems using constructive approach

This paper deals with the problem of robust H_infin control for a class of uncertain switched nonlinear systems via the multiple Lyapunov functions approach. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, a condition for the solvability of the robust H_infin control problem and design of both switching laws and controllers is presented. As an application, a hybrid state feedback strategy is proposed to solve the standard robust H_infin control problem for nonlinear systems when no single continuous controller is effective.