- 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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