The Mean-Square Stability Probability of H Control of Continuous Markovian Jump Systems

In this technical note, H ∞ control problem of continuous Markovian jump systems is investigated. A linear feedback control scheme, combined with a state observer design, is proposed in the form of linear matrix inequalities, which can ensure the systems' mean-square stability with H ∞ performa...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 61; no. 7; pp. 1918 - 1924
Main Authors Zhu, Jiaming, Yu, Xinghuo, Zhang, Tianping, Cao, Zhiqiang, Yang, Yuequan, Yi, Yang
Format Journal Article
LanguageEnglish
Published IEEE 01.07.2016
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Summary:In this technical note, H ∞ control problem of continuous Markovian jump systems is investigated. A linear feedback control scheme, combined with a state observer design, is proposed in the form of linear matrix inequalities, which can ensure the systems' mean-square stability with H ∞ performance. Then, a multi-step state transition conditional probability function is introduced for the continuous Markovian process, which is used to define the system's mean-square stability probability. Furthermore, the formulas for calculating the mean-square stability probability are derived for situations where the control force may not be strong enough to ensure the full stability. Simulation results are presented to show the effectiveness of the theoretical results.
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content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2015.2484357