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Entropy 2015, 17(7), 4762-4774; doi:10.3390/e17074762

H Control for Markov Jump Systems with Nonlinear Noise Intensity Function and Uncertain Transition Rates

Department of Control Science and Engineering, Tongji University, Shanghai 201804, China
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Author to whom correspondence should be addressed.
Academic Editors: J. A. Tenreiro Machado and António M. Lopes
Received: 30 April 2015 / Revised: 19 June 2015 / Accepted: 1 July 2015 / Published: 6 July 2015
(This article belongs to the Special Issue Complex and Fractional Dynamics)
View Full-Text   |   Download PDF [436 KB, uploaded 6 July 2015]   |  

Abstract

The problem of robust H control is investigated for Markov jump systems with nonlinear noise intensity function and uncertain transition rates. A robust H performance criterion is developed for the given systems for the first time. Based on the developed performance criterion, the desired H state-feedback controller is also designed, which guarantees the robust H performance of the closed-loop system. All the conditions are in terms of linear matrix inequalities (LMIs), and hence they can be readily solved by any LMI solver. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed methods. View Full-Text
Keywords: robust H control; Markovian parameters; nonlinearity; uncertainty robust H control; Markovian parameters; nonlinearity; uncertainty
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Wang, X.; Guo, Y. H Control for Markov Jump Systems with Nonlinear Noise Intensity Function and Uncertain Transition Rates. Entropy 2015, 17, 4762-4774.

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