Bounded real lemma and H∞ control for singular Markovian jump systems with mode-dependent derivative-term coefficient. Issue 1 (January 2021)

• Record Type: Journal Article
• Authors: Tian, Yufeng; Wang, Zhanshan
• Is Part Of: Journal of the Franklin Institute. Volume 358:Issue 1(2021)
• Page Start: 723
• Page End: 736
• Publication Date: 2021-01
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2020.11.004
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper is concerned with the problems of H ∞ performance analysis and controller design for singular Markovian jump systems (SMJSs). The derivative-term coefficient is considered to be mode-dependent in SMJSs. For SMJSs with mode-dependent derivative-term coefficient E i, some extended lemmas are developed to obtain three equivalent versions of bounded real lemma. Based on a bounded real lemma, a new H ∞ controller design condition for the closed-loop system to be stochastically admissible is formulated in the framework of linear matrix inequalities (LMIs). A numerical example is illustrated to demonstrate the effectiveness of the achieved results.