Delay-dependent guaranteed cost control for uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays |
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Authors: | WANG Chang-hong and YAO Xiu-ming |
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Affiliation: | 1. Space Control and Inertia Technology Research Center,Harbin Institute of Technology,Harbin 150001,China 2. Dept.of Automation,North China Electric Power University,Baoding 071003,China |
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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 tochniques.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. |
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Keywords: | guaranteed cost control Markovian jump linear systems time-delay linear matrix inqualities (LMIs) |
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