Incremental L2 -gain stability of piecewise-affine systems with piecewise-polynomial storage functions - Archive ouverte HAL Access content directly
Journal Articles Automatica Year : 2019

Incremental L2 -gain stability of piecewise-affine systems with piecewise-polynomial storage functions

Abstract

This paper concerns the incremental L2-gain stability of piecewise-affine (PWA) systems. We propose sufficient conditions derived from dissipativity theory to compute an upper bound on the incremental L2-gain. This is achieved by constructing piecewise-polynomial storage functions through the use of sum of squares (SOS) relaxations. The constraints are expressed as linear matrix inequalities (LMIs), which can be solved numerically in an efficient way. The proposed conditions are verified to be less conservative than previous results found in the literature by means of a numerical example.
Fichier principal
Vignette du fichier
S0005109819302766.pdf (244.21 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02151787 , version 1 (25-10-2021)

Licence

Attribution - NonCommercial

Identifiers

Cite

Sergio Waitman, Paolo Massioni, Laurent Bako, Gérard Scorletti. Incremental L2 -gain stability of piecewise-affine systems with piecewise-polynomial storage functions. Automatica, 2019, 107, pp.224-230. ⟨10.1016/j.automatica.2019.05.050⟩. ⟨hal-02151787⟩
48 View
38 Download

Altmetric

Share

Gmail Facebook X LinkedIn More