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

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3 Author(s)
Li-li Li ; Key Lab. of Integrated Autom. of Process Ind., Northeastern Univ., Shenyang ; Jun Zhao ; Dimirovski, G.M.

This paper deals with the problem of robust Hinfin 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 Hinfin 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 Hinfin control problem for nonlinear systems when no single continuous controller is effective.

Published in:

American Control Conference, 2008

Date of Conference:

11-13 June 2008