Control Design for Switched Systems Using Passivity Indices

This paper presents a framework for control design of interconnected nonlinear switched systems using passivity and passivity indices. Background material is presented on the concept of passivity indices for continuously-varying systems. The passivity indices are then generalized to apply to switched systems to measure the level of passivity in a system. The main result of the paper shows how the indices can be compared between two systems in feedback to verify stability. It is explained how this theorem can be used as a control design tool for general nonlinear switched systems. An example is provided to demonstrate this design method. The connection between passivity indices and conic systems theory is summarized in the appendix.