H∞ control under arbitrary switching for minimum-phase switched nonlinear systems

This paper is concerned with Hinfin control under arbitrary switching for minimum-phase switched nonlinear systems with relative degree one. By using of common Lyapunov Functions method, we exploit the structural characteristic of the switched nonlinear systems to construct nonlinear state feedbacks to guarantee the closed-loop system has any given L2-gain with internal stability under arbitrary switching. Conditions under which the Hinfin control problem is solvable rely on the minimum-phase property. The Hinfin control problem for the considered switched nonlinear system is attributed to the stability problem of its zero dynamics.