Title
Observer-based control for singular nonhomogeneous Markov jump systems with packet losses.
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.
Year
DOI
Venue
2018
10.1016/j.jfranklin.2018.06.032
Journal of the Franklin Institute
Field
DocType
Volume
Control theory,Controller design,Control theory,Markov chain,Network packet,Convex hull,Observer (quantum physics),Jump,Mathematics,Linear matrix inequality
Journal
355
Issue
ISSN
Citations 
14
0016-0032
0
PageRank 
References 
Authors
0.34
25
4
Name
Order
Citations
PageRank
Jimin Wang132.74
Shuping Ma2507.57
Chenghui Zhang326838.20
Minyue Fu41878221.17