Abstract
This paper is concerned with the problem of observer-based controller design for singular stochastic Markov jump systems with state-dependent noise. Two concepts called “non-impulsiveness” and “mean square admissibility” are introduced, which are different from previous ones. Sufficient conditions for the open- and closed-loop singular stochastic Markov jump systems with state-dependent noise to be mean square admissible are provided in terms of strict LMIs. The controller gain and the observer gain which guarantee the resulting closed-loop error system to be mean square admissible are obtained in turn by solving the strict LMIs. A numerical example is presented to show the efficiency of the design approach.
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This research was supported by the National Natural Science Foundation of China under Grant No. 61573227, the Research Fund for the Taishan Scholar Project of Shandong Province of China, the SDUST Research Fund No. 2015TDJH105, and the State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources under Grant No. LAPS16011.
This paper was recommended for publication by Editor LIU Yungang.
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Zhao, Y., Zhang, W. Observer-based controller design for singular stochastic Markov jump systems with state dependent noise. J Syst Sci Complex 29, 946–958 (2016). https://doi.org/10.1007/s11424-016-5060-1
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DOI: https://doi.org/10.1007/s11424-016-5060-1