Practical Stabilization of Integrator Switched Systems

Xuping Xu and Panos J. Antsaklis

International Journal of Hybrid Systems
pp. 199-216, Vol. 4, No. 3 & 4, September and December, 2004

Abstract—In this paper, practical stabilization problems for integrator switched systems are studied. In such class of switched systems, no subsystem has an equilibrium. However, the system can still exhibit interesting behaviors around a given point under appropriate switching laws. Such behaviors are similar to those of a conventional stable system near an equilibrium. Some practical stability notions are formally introduced to define such behaviors. A necessary and sufficient condition for practical asymptotic stabilizability of such systems is then proved. For practically asymptotically stabilizable systems, a minimum dwell time switching law which can easily be implemented is proposed.

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