Tracking control for switched nonlinear systems with multiple time-varying delays. (August 2015)

• Record Type: Journal Article
• Authors: Zhai, Jun-yong; Wang, Bin; Fei, Shu-min
• Is Part Of: Nonlinear analysis. Volume 17(2015)
• Page Start: 44
• Page End: 55
• Publication Date: 2015-08
• Subjects: Output tracking control -- Switched nonlinear systems -- Exponential stability -- Multiple time-varying delays -- H∞ controller; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2015.02.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the problem of output tracking control for a class of switched nonlinear systems with multiple time-varying delays. Combining average dwell-time with free weighting matrix methods, a new exponential stability criterion is derived for switched nonlinear systems, which considers the time-varying delays and the rates of time delays. Then, the state feedback tracking controller is given by solving a set of linear matrix inequalities (LMIs) to satisfy the H ∞ model reference tracking performance. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.