H∞ stabilization of 2-D discrete switched delayed systems represented by the Roesser model subject to actuator saturation. (November 2015)

• Record Type: Journal Article
• Authors: Ghous, Imran; Xiang, Zhengrong
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 37:Number 10(2015)
• Page Start: 1242
• Page End: 1253
• Publication Date: 2015-11
• Subjects: 2-D systems -- actuator saturation -- H∞ performance -- LMIs -- multiple Lyapunov functional -- switched systems; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331214560805
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper is concerned with the problem of state feedback H ∞ stabilization for a class of 2-D (two-dimensional) discrete-time switched delayed systems with saturation on the control input. First, a sufficient condition for asymptotical stability and H ∞ disturbance attenuation performance of the underlying system is derived using a new multiple Lyapunov functional. Second, the convex hull is used to describe the saturation behaviour and a sufficient condition for the existence of a state feedback controller, which ensures that the resulting closed-loop system is asymptotically stable and achieves a prescribed disturbance attenuation level, is developed in terms of linear matrix inequalities (LMIs). Finally, two examples are provided to illustrate the effectiveness of the proposed methodology.