Observer-based control for singular nonhomogeneous Markov jump systems with packet losses

Title: Observer-based control for singular nonhomogeneous Markov jump systems with packet losses
Creator: Wang, Jimin; Ma, Shuping; Zhang, Chenghui; Fu, Minyue
Relation: Journal of the Franklin Institute Vol. 355, Issue 14, p. 6617-6637
Publisher Link: http://dx.doi.org/10.1016/j.jfranklin.2018.06.032
Publisher: Elsevier
Resource Type: journal article
Date: 2018
Description: This paper is concerned with the observer-based H8control 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 H8finite-time boundedness for the corresponding closed-loop error systems is provided. Subsequently, a linear matrix inequality (LMI) condition on the existence of the H8observer-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.
Subject: control; Markov jump systems; packet losses; numerical methods
Identifier: http://hdl.handle.net/1959.13/1448115
Identifier: uon:43318
Identifier: ISSN:0016-0032
Language: eng
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