Incremental L2-gain analysis of piecewise-affine systems using piecewise quadratic storage functions

Sérgio Waitman; Paolo Massioni; Laurent Bako; Gérard Scorletti; Vincent Fromion

doi:10.1109/CDC.2016.7798451

Incremental L₂-gain analysis of piecewise-affine systems using piecewise quadratic storage functions

Sérgio Waitman
, Paolo Massioni
, Laurent Bako
, Gérard Scorletti
, Vincent Fromion

Dynamics and Control

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

15 Citations (Scopus)

Abstract

In this paper we are interested in the incremental stability of piecewise-affine (PWA) systems. We present conditions to compute an upper bound on the incremental L2-gain based on dissipativity analysis. These conditions are expressed as linear matrix inequalities (LMI) allowing the construction of a continuous piecewise quadratic storage function. It is also shown that these conditions imply incremental asymptotic stability of the system. The result is illustrated with numerical examples.

Original language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1334-1339
Number of pages	6
ISBN (Electronic)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7798451
Publication status	Published - 27 Dec 2016
Event	55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016

Conference

Conference	55th IEEE Conference on Decision and Control, CDC 2016
Country/Territory	United States
City	Las Vegas
Period	12/12/16 → 14/12/16

Access to Document

10.1109/CDC.2016.7798451

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Cite this

Waitman, S., Massioni, P., Bako, L., Scorletti, G., & Fromion, V. (2016). Incremental L₂-gain analysis of piecewise-affine systems using piecewise quadratic storage functions. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 1334-1339). Article 7798451 Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/CDC.2016.7798451

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Waitman, S, Massioni, P, Bako, L, Scorletti, G & Fromion, V 2016, Incremental L₂-gain analysis of piecewise-affine systems using piecewise quadratic storage functions. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7798451, Institute of Electrical and Electronics Engineers (IEEE), pp. 1334-1339, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7798451

Incremental L₂-gain analysis of piecewise-affine systems using piecewise quadratic storage functions. / Waitman, Sérgio; Massioni, Paolo; Bako, Laurent et al.
2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers (IEEE), 2016. p. 1334-1339 7798451.

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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