In this paper we consider discrete-time piecewise affine hybrid systems with boolean inputs, outputs and states and show that they can be represented in a logic canonical form where the logic variables influence the switching between different submodels but not the continuous-valued dynamics. We exploit this representation for studying Lagrange stability and developing performance analysis procedures based on linear matrix inequalities. Moreover, by using arguments from dissipativity theory for nonlinear systems, we generalize our approach to solve the H-infinity analysis problem.

Lagrange stability and performance analysis of discrete-time piecewise affine systems with logic states / G. FERRARI TRECATE; F.A. CUZZOLA; M. MORARI. - In: INTERNATIONAL JOURNAL OF CONTROL. - ISSN 0020-7179. - STAMPA. - 76:16(2003), pp. 1585-1598.

Lagrange stability and performance analysis of discrete-time piecewise affine systems with logic states

FERRARI TRECATE, GIANCARLO;
2003

Abstract

In this paper we consider discrete-time piecewise affine hybrid systems with boolean inputs, outputs and states and show that they can be represented in a logic canonical form where the logic variables influence the switching between different submodels but not the continuous-valued dynamics. We exploit this representation for studying Lagrange stability and developing performance analysis procedures based on linear matrix inequalities. Moreover, by using arguments from dissipativity theory for nonlinear systems, we generalize our approach to solve the H-infinity analysis problem.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11571/107883
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