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Stability and invariance analysis of uncertain PWA systems based on linear programming

Trimboli, Sergio and Rubagotti, Matteo and Bemporad, Alberto Stability and invariance analysis of uncertain PWA systems based on linear programming. In: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC). IEEE, 7398 -7403. ISBN 978-1-61284-800-6 (2011)

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This paper analyzes stability of discrete-time uncertain piecewise-affine systems whose dynamics are defined on a bounded set χ; that is not necessarily invariant. The objective is to prove the uniform asymptotic stability of the origin and to find an invariant domain of attraction. This goal is attained by defining a suitable extended dynamics (which is partially fictitious), and by using a numerical procedure based on linear programming. The theoretical results are based on the definition of a piecewise-affine, possibly discontinuous, Lyapunov function.

Item Type: Book Section
Identification Number: 10.1109/CDC.2011.6160843
Additional Information: This work was partially supported by the European Commission under project FP7-INFSO-ICT-248858 “MOBY-DIC – Model-based synthesis of digital electronic circuits for embedded control”.
Uncontrolled Keywords: Asymptotic stability, Control systems, Economic indicators, Lyapunov methods, Numerical stability, Stability analysis, Xenon
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Users 37 not found.
Date Deposited: 05 Mar 2012 10:58
Last Modified: 12 Feb 2013 12:12
URI: http://eprints.imtlucca.it/id/eprint/1211

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