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Title: A Lyapunov Method for Stability Analysis of Piecewise-Affine Systems Over Non-Invariant Domains
Authors: Rubagotti, Matteo
Zaccarian, Luca
Bemporad, Alberto
First Published: 16-Oct-2015
Publisher: Taylor & Francis
Citation: International Journal of Control
Abstract: This paper analyzes stability of discrete-time piecewise-affine systems, defined on possibly non-invariant domains, taking into account the possible presence of multiple dynamics in each of the polytopic regions of the system. An algorithm based on linear programming is proposed, in order to prove exponential stability of the origin and to find a positively invariant estimate of its region of attraction. The results are based on the definition of a piecewise-affine Lyapunov function, which is in general discontinuous on the boundaries of the regions. The proposed method is proven to lead to feasible solutions in a broader range of cases as compared to a previously proposed approach. Two numerical examples are shown, among which a case where the proposed method is applied to a closed-loop system, to which model predictive control was applied without a-priori guarantee of stability.
DOI Link: 10.1080/00207179.2015.1108456
ISSN: 0020-7179
eISSN: 1366-5820
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2015, Taylor & Francis. Deposited with reference to the publisher’s archiving policy available on the SHERPA/RoMEO website.
Description: The file associated with this record is under embargo for 12 months from first publication.
Appears in Collections:Published Articles, Dept. of Engineering

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