Conference Proceedings

Averaging tools for singularly perturbed hybrid systems

W Wang, AR Teel, D Nešić

Proceedings of the 2011 Australian Control Conference, AUCC 2011 | Published : 2011

Abstract

Singular perturbation results for a class of hybrid systems are presented. It is assumed that the fast states are restricted to a compact set and that the continuous-time boundary layer dynamics generate a well defined average vector field for the slow dynamics. This average is used to define an appropriate reduced hybrid dynamical system. Assuming forward pre-completeness for the reduced hybrid system we establish closeness of solutions between the actual and reduced hybrid systems on compact time domains. Also, if the average system is asymptotically stable (AS), we show that the actual system is semi-globally practically asymptotically stable (SGP-AS). Several examples illustrate our resu..

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