In this paper cone-copositive piecewise quadratic Lyapunov functions (PWQ-LFs) for the stability analysis of conewise linear systems with the possible presence of sliding modes are proposed. The existence of a PWQ-LF is formulated as the feasibility of a cone-copositive programming problem which is represented in terms of linear matrix inequalities with equality constraints. An algorithm for the construction of a PWQ-LF is provided. Examples show the effectiveness of the approach in the presence of stable and unstable sliding modes.
Stability analysis of conewise linear systems with sliding modes / Iervolino, Raffaele; Vasca, Francesco; Iannelli, Luigi. - (2015), pp. 1174-1179. (Intervento presentato al convegno 54th IEEE Conference on Decision and Control (CDC), 2010 tenutosi a Osaka (Japan) nel 15-18 Dec. 2015) [10.1109/CDC.2015.7402370].
Stability analysis of conewise linear systems with sliding modes
IERVOLINO, RAFFAELE;
2015
Abstract
In this paper cone-copositive piecewise quadratic Lyapunov functions (PWQ-LFs) for the stability analysis of conewise linear systems with the possible presence of sliding modes are proposed. The existence of a PWQ-LF is formulated as the feasibility of a cone-copositive programming problem which is represented in terms of linear matrix inequalities with equality constraints. An algorithm for the construction of a PWQ-LF is provided. Examples show the effectiveness of the approach in the presence of stable and unstable sliding modes.| File | Dimensione | Formato | |
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