Robust Semipassivity and Practical Stability for Uncertain Switched Nonlinear Systems

Abstract

This paper addresses several issues including robust semipassivity and practical stability analysis for a switched nonlinear system with structural uncertainties. First, robust semipassivity is firstly defined to describe the overall semipassivity property of switched nonlinear systems without requiring the conventional semipassivity property of each active subsystem. Then, the robust semipassive system is shown to be practically stable. Second, a state-dependent switching law is designed to render the switched system robust semipassive. This switching law is a generalization of KYP lemma. Third, robust semipassification for a switched nonlinear system is achieved by the design of a state-dependent switching law and a set of feedback controllers. Finally, a composite state-dependent switching law is designed to render the feedback interconnection of switched nonlinear systems robust semipassive. The effectiveness of the obtained resultsis verified by two numerical examples.

Keywords

• Switched nonlinear system
• semipassivity
• practical stability
• robust semipassification