H∞ control for a class of singular systems with state time-varying delay. (January 2017)

• Record Type: Journal Article
• Authors: Long, Shaohua; Zhong, Shouming
• Is Part Of: ISA transactions. Volume 66(2017:Jan.)
• Page Start: 10
• Page End: 21
• Publication Date: 2017-01
• Subjects: Singular system -- Time-varying delay -- H∞ control -- Lyapunov–Krasovskii functional -- Dynamic feedback controller; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2016.10.004
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper is concerned with the H ∞ control problem for a class of singular systems. The systems under consideration involve state time-varying delay. The aim of this paper is to design a dynamic feedback controller such that the resultant closed-loop system is regular, impulse-free and stable with given H ∞ performance index. By using the Lyapunov–Krasovskii functional method, some delay-dependent sufficient criteria which guarantee the existence of the dynamic feedback controller and determine explicitly the parameters of the dynamic feedback controller are presented. Finally, some numerical examples are provided to show the effectiveness of the presented approaches. Abstract : Highlights: The H ∞ control problem for singular systems with time-varying delay is studied via dynamic feedback controller. A solution to the H ∞ control problem for singular system with constant time-delay via dynamic feedback controller is also presented. Some examples are given to show the advantages of the obtained H ∞ control criteria.