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IMA Journal of Mathematical Control and Information Advance Access originally published online on February 28, 2007
IMA Journal of Mathematical Control and Information 2008 25(1):23-36; doi:10.1093/imamci/dnm004
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© The author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Gain reduction in switched sliding-mode control

A. Ferrara{dagger}

Dipartimento di Informatica e Sistemistica, Via Ferrata 1, 27100 Pavia, Italy

R. Scattolini{ddagger}

Dipartimento di Elettronica e Informazione, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

{dagger} Email: antonella.ferrara{at}unipv.it

{ddagger} Email: riccardo.scattolini{at}elet.polimi.it

Received on December 1, 2005; Accepted on November 9, 2006

A switched sliding-mode control strategy for a class of nonlinear uncertain systems is presented in this paper. It is characterized by an event-driven gain reduction mechanism which relies on a decomposition of the system state into regions. By enforcing sliding-mode behaviours on a suitable set of sliding manifolds, while avoiding the generation of limit cycles, the proposed strategy proves to globally asymptotically stabilize the origin of the system state space.

Keywords: nonlinear systems; uncertain systems; sliding-mode control; switching algorithms; variable structure systems.


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