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IMA Journal of Mathematical Control and Information Advance Access originally published online on October 24, 2005
IMA Journal of Mathematical Control and Information 2006 23(2):137-148; doi:10.1093/imamci/dni049
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Output feedback stabilization of stochastic non-linear hybrid systems

E. K. Boukas**

Mechanical Engineering Department, École Polytechnique de Montréal, PO Box 6079, Station Centre-ville, Montréal, Québec, Canada H3C 3A7

** Email: el-kebir.boukas{at}polymtl.ca

This paper deals with the control of stochastic non-linear hybrid systems. Under some appropriate assumptions, results on stochastic stability and stochastic stabilization are developed. Two output feedback controllers (linear and non-linear) that stochastically stabilize the class of systems under study are designed. Linear matrix inequality sufficient conditions are developed to compute the gains of these controllers. A numerical example is provided to show the usefulness of the developed results.

Keywords: non-linear systems; hybrid systems; stochastic stability; stochastic stabilization; output feedback; linear matrix inequalities.

Received on 5 August 2004. accepted on 1 March 2005.


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