Ben Niu and Jun Zhao
International Journal of Control, Automation, and Systems, vol. 10, no. 3, pp.481-489, 2012

Abstract : This paper focuses on the problem of robust H∞ control of nonlinear switched systems with parameter uncertainty via the multiple Lyapunov functions (MLFs) approach. The uncertain parameters are assumed to be in a known compact set and are allowed to enter the system nonlinearly. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, sufficient conditions for the solvability of the robust H∞ control problem of cascade nonlinear switched systems are derived under some switching signal. Then, the result is extended to solve the robust H∞ control problem of nonlinear switched systems in strict feedback form. Finally, the effectiveness of the proposed results is illustrated through a simulation example.

Keyword : Constructive method, multiple Lyapunov functions, robust H∞ control, switched nonlinear systems.

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