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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:WANG Chang-hong,YAO Xiu-ming.Delay-dependent guaranteed cost control for uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays[J].Journal of Harbin Institute Of Technology(New Series),2010,17(3):357-362.DOI:10.11916/j.issn.1005-9113.2010.03.012.
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Delay-dependent guaranteed cost control for uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays
Author NameAffiliation
WANG Chang-hong Space Control and Inertia Technology Research Center,Harbin Institute of Technology,Harbin 150001,China 
YAO Xiu-ming Dept. of Automation,North China Electric Power University,Baoding 071003,China 
Abstract:
In this paper,the problem of guaranteed cost control for a class of uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays and a given quadratic cost function are investigated. Attention is focused on designing a memoryless state feedback control law such that the closed-loop system is robust stochastically stable and the closed-loop cost function value is not more than a specified upper bound,for all admissible uncertainties. The key features of the approach include the introduction of a new type of suitable stochastic Lyapunov functional and free weighting matrices techniques. Sufficient conditions for the existence of such controller are obtained in terms of a set of linear matrix inequalities. A numerical example is given to illustrate the less conservatism of the proposed techniques.
Key words:  guaranteed cost control  Markovian jump linear systems  time-delay  linear matrix inqualities(LMIs).
DOI：10.11916/j.issn.1005-9113.2010.03.012
Clc Number:O211.62
Fund:

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