Robust H ∞ control for a class of switched non-linear systems with neutral uncertainties

Abstract

This paper focuses on the problem of robust H∞ control for a class of switched non-linear systems with neutral uncertainties. The multiple Lyapunov function approach and the common Lyapunov function approach are exploited respectively for the cases whether states are measurable or not. Uncertainties are allowed to appear in channels of state, control input and disturbance input. Conditions for the solvability of the robust H∞ control problem and design of both hybrid state feedback and dynamic output feedback controllers are presented. As an application, a hybrid state feedback strategy is proposed to solve the standard robust H∞ control problem for non-linear systems when no single continuous controller is effective.