Practical Stabilization of Integrator Switched Systems1

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. We introduce some practical stability notions to define such behaviors. In particular, a necessary and sufficient condition for practical stabilizability of such systems is given. Moreover, for practically stabilizable systems, we develop a minimum dwell time switching law which can easily be implemented. Finally, as an application, we apply the switching law to a batch process example.