H∞ State-Feedback Control for Semi-Markov Jump Linear Systems With Time-Varying Delays-Reference-Cited by-同舟云学术

H∞ State-Feedback Control for Semi-Markov Jump Linear Systems With Time-Varying Delays

Published:2013-05-21 Issue:4 Volume:135 Page:
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Huang Ji¹,Shi Yang²

Affiliation:

1. e-mail:

2. e-mail: Department of Mechanical Engineering, University of Victoria, P.O. Box 3055, STN CSC, Victoria, BC, V8W 3P6, Canada

Abstract

Semi-Markov jump linear systems (S-MJLSs) are more general than Markov jump linear systems in modeling practical systems. This paper investigates the H∞ control problem for a class of semi-Markov jump linear systems with time-varying delays. The sojourn-time partition technique is firstly proposed for the delayed stochastic switching system. A sufficient condition for designing the state feedback controller is then established. Moreover, the sufficient condition is expressed as a set of linear matrix inequalities which can be readily solved. A numerical example illustrates the effectiveness of the proposed controller design technique.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/doi/10.1115/1.4024009/6113790/ds_135_4_041012.pdf

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