Disturbance tolerance and rejection of discrete switched systems with time-varying delay and saturating actuator. (May 2015)

• Record Type: Journal Article
• Authors: Qian, Yibo; Xiang, Zhengrong; Karimi, Hamid Reza
• Is Part Of: Nonlinear analysis. Volume 16(2015)
• Page Start: 81
• Page End: 92
• Publication Date: 2015-05
• Subjects: Disturbance tolerance -- Disturbance rejection -- Switched systems -- Time-varying delay -- Saturating actuator; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2014.11.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper is concerned with the problems of disturbance tolerance and rejection of discrete switched systems with time-varying delay and saturating actuator. Using the switched Lyapunov function approach, a sufficient condition for the existence of a state feedback controller is proposed such that the disturbance tolerance capability of the closed-loop system is ensured. By solving a convex optimization problem with linear matrix inequality (LMI) constraints, the maximal disturbance tolerance is estimated. In addition, the problem of disturbance rejection of the closed-loop system is solved. Two examples are given to illustrate the effectiveness of the proposed method.