Switching design for suboptimal guaranteed cost control of 2-D nonlinear switched systems in the Roesser model. (May 2017)

• Record Type: Journal Article
• Authors: Hien, Le Van; Trinh, Hieu
• Is Part Of: Nonlinear analysis. Volume 24(2017)
• Page Start: 45
• Page End: 57
• Publication Date: 2017-05
• Subjects: 2-D switched systems -- Roesser model -- Guaranteed cost control -- Linear matrix inequalities; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.11.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper deals with the problem of switching design for guaranteed cost control of discrete-time two-dimensional (2-D) nonlinear switched systems described by the Roesser model. The switching signal, which determines the active mode of the system, is subject to a state-dependent process whose values belong to a finite index set. By using 2-D common Lyapunov function approach, a sufficient condition expressed in terms of tractable matrix inequalities is first established to design a min-projection switching rule that makes the 2-D switched system asymptotically stable. The obtained result on stability analysis is then utilized to synthesize a suboptimal state feedback controller that minimizes the upper bound of a given infinite-horizon cost function. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design method.