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A unified dissipativity approach for stability analysis of piecewise smooth systems

Title:

A unified dissipativity approach for stability analysis of piecewise smooth systems

Samadi, Behzad and Rodrigues, Luis (2011) A unified dissipativity approach for stability analysis of piecewise smooth systems. Automatica, 47 (12). pp. 2735-2742. ISSN 00051098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2011.09.018

Abstract

The main objective of this paper is to present aunifieddissipativityapproach for stabilityanalysis of piecewisesmooth (PWS) systems with continuous and discontinuous vector fields. The Filippov definition is considered for the solution of these systems. Using the concept of generalized gradients for nonsmooth functions, sufficient conditions for the stability of a PWS system are formulated based on Lyapunov theory. The importance of the proposed approach is that it does not need any a-priori information about attractive sliding modes on switching surfaces, which is in general difficult to obtain. A section on application of the main results to piecewise affine (PWA) systems followed by a section with extensive examples clearly show the usefulness of the proposed unified methodology. In particular, we present an example with a stable sliding mode where the proposed method works and previously suggested methods fail.

Divisions:Concordia University > Faculty of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Article
Refereed:Yes
Authors:Samadi, Behzad and Rodrigues, Luis
Journal or Publication:Automatica
Date:2011
Keywords:Piecewisesmoothsystems;Piecewise polynomial systems; Piecewise affine systems;Lyapunov stability; Dissipativity
ID Code:974132
Deposited By:ANDREA MURRAY
Deposited On:12 Jun 2012 16:29
Last Modified:12 Jun 2012 16:29
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