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

• Autores: Sérgio Waitman, Paolo Massioni, Laurent Bako, Gérard Scorletti
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 107, 2019, págs. 224-230
• Idioma: inglés
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• Resumen

  • 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.