We consider the stability problem of Lur'e systems composed by a dynamical linear time invariant system closed in feedback through a static mapping belonging to a region bounded by piecewise linear characteristics. By exploiting the complementarity framework a model of the region expressed through constrained relations is obtained. Classical conic sectors representations can be derived as a particular case of the proposed model. The region representation is exploited to prove absolute stability of the Lur'e system in terms of cone-constrained linear matrix inequalities.
Stability of Lur'e Systems with Piecewise Linear Sector Bounds / F., Vasca; Iervolino, Raffaele; L., Iannelli. - (2011), pp. 1-6. (Intervento presentato al convegno 19th Mediterranean Conference on Control and Automation tenutosi a Corfu (GR) nel June 20-23, 2011) [10.1109/MED.2011.5983074].
Stability of Lur'e Systems with Piecewise Linear Sector Bounds
IERVOLINO, RAFFAELE;
2011
Abstract
We consider the stability problem of Lur'e systems composed by a dynamical linear time invariant system closed in feedback through a static mapping belonging to a region bounded by piecewise linear characteristics. By exploiting the complementarity framework a model of the region expressed through constrained relations is obtained. Classical conic sectors representations can be derived as a particular case of the proposed model. The region representation is exploited to prove absolute stability of the Lur'e system in terms of cone-constrained linear matrix inequalities.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.