Quadratic Stabilization for a Class of Switched Nonlinear Singular Systems

摘要

Quadratic stabilization for a class of switched nonlinear singular systems is investigated. For a switched nonlinear singular systems, we will introduce the concept of zero dynamics and will derive that the stability of zero dynamics implies the stability of the system. This extends available results for non-switched nonlinear singular systems. Sufficient conditions for this class of switched systems to be quadratically stabilizable under arbitrary switching laws are obtained under assumption that all subsystems are minimum-phase and regular. A simulation example is given to illustrate the proposed approach.