Approximate stabilisation of uncertain hybrid systems

Authors:
Yan Gao;John Lygeros;Marc Quincampoix;Nicolas Seube
Affiliations:
Department of Engineering, University of Cambridge, Cambridge, U.K.;Department of Engineering, University of Cambridge, Cambridge, U.K.;Département de Mathematiques, Université de Bretagne Occidentale, Brest Cedex, France;ENSIETA, Brest Cedex 9, France
Venue:
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Year:
2003

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Abstract

The problem of stabilisation of a class of uncertain hybrid systems is considered. Uncertainty enters in the form of a disturbance input that can affect both the continuous and the discrete dynamics. A method for designing piecewise constant feedback controllers is developed. The controllers achieve approximate exponential convergence of the runs of the closed loop system to the zero level set of a Lyapunov function.