Robust H∞ control for a class of uncertain switched nonlinear systems using constructive approach
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KünyeLi, L. L., Zhao, J., and Dimirovski, G. M. (2008). Robust H∞ control for a class of uncertain switched nonlinear systems using constructive approach. In 2008 American Control Conference (pp. 5068-5073), Piscataway, NJ: IEEE. https://dx.doi.org/10.1109/ACC.2008.4587297
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.