Stabilization of Invariant Sets of Switched Systems by Output Feedback

Authors:	Tian Yu-Ping, Southeast University, China Lin Xiang-Ze, Southeast University, China
Topic:	2.3 Non-Linear Control Systems
Session:	Nonlinear Observers and Output Feedback
Keywords:	Nonlinear systems, Switches, Output feedback, Stabilization

Abstract

In this paper, the notion of the input/output-to-state stability (IOSS) is extended to the case of the input/output-to-V (x) stability (IOVS), which implies detectability of the zero-value set of a storage function. Based on this notion and the notion of passivity of nonlinear systems, we propose and prove sufficient conditions under which an invariant state set of a class of switched nonlinear systems can be stabilized by output feedback. Then we show that a nonlinear system is IOVS if V (x) is an IOSS-Lyapunov function of the system.