Observer-based control for singular nonhomogeneous Markov jump systems with packet losses. Issue 14 (September 2018)

• Record Type: Journal Article
• Authors: Wang, Jimin; Ma, Shuping; Zhang, Chenghui; Fu, Minyue
• Is Part Of: Journal of the Franklin Institute. Volume 355:Issue 14(2018)
• Page Start: 6617
• Page End: 6637
• Publication Date: 2018-09
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.06.032
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper is concerned with the observer-based H ∞ control for a class of singular Markov jump systems over a finite-time interval, where the transition probability (TP) is time-varying and is limited to a convex hull. Due to the limited capacity of network medium, packet losses are presented in the underlying systems. Firstly, using a stochastic Lyapunov functional, a sufficient condition on singular stochastic H ∞ finite-time boundedness for the corresponding closed-loop error systems is provided. Subsequently, a linear matrix inequality (LMI) condition on the existence of the H ∞ observer-based controller is developed from a new perspective. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed controller design method, wherein it is shown that the proposed method yields less conservative results than those in the literature.