Stabilization of continuous-time singularly perturbed switched systems

— In this article, stability of continuous-time switched linear systems in the singular perturbation form is investigated. We show that the stability of slow and fast switched subsystems is not a sufficient condition for stability of the corresponding two-time scale switched system, under an arbitrary switching law. Thus, LMI conditions to design a statefeedback control law stabilizing continuous-time singularly perturbed switched linear systems are proposed.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Ivan Malloci, Jamal Daafouz, Claude Iung
• Keywords: CDC 2009, Continuous-time Switched Linear, Control Systems, Fast Switched Subsystems, Scale Switched System