Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/80315
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Type: Journal article
Title: Observer-based H∞ control on nonhomogeneous discrete-time Markov jump systems
Other Titles: Observer-based H infinity control on nonhomogeneous discrete-time Markov jump systems
Author: Yin, Y.
Shi, P.
Liu, F.
Teo, K.
Citation: Journal of Dynamic Systems Measurement and Control: Transactions of the ASME, 2013; 135(4):1-8
Publisher: ASME-Amer Soc Mechanical Eng
Issue Date: 2013
ISSN: 0022-0434
1528-9028
Statement of
Responsibility: 
Yanyan Yin, Peng Shi, Fei Liu, Kok Lay Teo
Abstract: <jats:p>This paper concerns the problem of observer-based H∞ controller design for a class of discrete-time Markov jump systems with nonhomogeneous jump parameters. A nonhomogeneous jump transition probability matrix is described by a polytope set, in which values of vertices are given. By Lyapunov function approach, under the designed observer-based controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H∞ performance is achieved. Finally, a simulation example is given to show the effectiveness of the developed techniques.</jats:p>
Keywords: observer-based
H∞ control
nonhomogeneous Markov jump parameter
stochastic system
Rights: Copyright © 2013 by ASME
DOI: 10.1115/1.4023997
Published version: http://dx.doi.org/10.1115/1.4023997
Appears in Collections:Aurora harvest
Electrical and Electronic Engineering publications

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