Stabilisation and control synthesis of switching systems subject to actuator saturation

• Published in: International journal of systems science Vol. 41; no. 4; pp. 397 - 409
• Main Authors: Benzaouia, Abdellah, Akhrif, Ouassima, Saydy, Lahcen
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.04.2010; Taylor & Francis
• Subjects: actuator saturations; Actuators; Applied sciences; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control systems; Control theory. Systems; Controllers; Exact sciences and technology; Linear systems; LMIs; multiple Lyapunov functions; Optimization; Output feedback; output feedback control; Saturation; state feedback control; Switching; switching systems; Multimodel control; State feedback; actuator saturations; Saturation; Control program; Feedback regulation; Control synthesis; LMIs; state feedback control; Closed feedback; output feedback control; Discrete time; Linear matrix inequality; Output feedback; Actuator; Lyapunov function; multiple Lyapunov functions; switching systems
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207720903045791

This article presents sufficient conditions for the stabilisation of switching discrete-time linear systems subject to actuator saturations. These conditions are obtained by using successively state and output feedback control laws. The obtained results are formulated in terms of linear matrix inequalities (LMIs). The saturating and non-saturating controllers are synthesised for both cases in this work. Three sets of LMIs are presented for output feedback case. Numerical examples are used to illustrate these techniques by using a linear optimisation problem subject to LMI constraints.