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Quantized control for nonhomogeneous Markovian jump T-S fuzzy systems with missing measurements

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Abstract

In this paper, in terms of the T-S fuzzy technique, the quantization control designs are resolved for a class of nonhomogeneous Markov jump systems (MJSs) with partially unknown transition probabilities. Different from the previous research, the transition probabilities are time-variant and not known exactly in the MJSs. Particularly in a network environment, it is considered that the effects of data packet dropouts and the occurrence of signal quantization simultaneously emerge in the closed-loop circuit. Furthermore, based on a fuzzy Lyapunov function and a set of linear matrix inequalities, one can achieve the desired H∞ performance and the sufficient conditions such that the corresponding closed-loop system is stochastically stable. By the cone complementarity linearisation (CCL) procedure, a sequential minimization problem is tackled efficiently to gain the solutions of the dynamic output feedback controller (DOFC). Finally, the validity of the suggested technique is showed via a simulation example.

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Acknowledgments

This work is supposed by National Natural Science Foundation of China (61673280) and the Liaoning Province Natural Science Foundation of China (20180550764).

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Authors and Affiliations

  1. Department of Mathematics and Physics, Shenyang University of Chemical Technology, Shenyang, 110142, People’s Republic of China

    Xiaolei Ji & Yang Wang

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  1. Xiaolei Ji
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  2. Yang Wang
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Correspondence to Yang Wang.

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This article is part of the Topical Collection: Special Issue on Networked Cyber-Physical Systems

Guest Editors: Heng Zhang, Mohammed Chadli, Zhiguo Shi, Yanzheng Zhu, and Zhaojian Li

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Ji, X., Wang, Y. Quantized control for nonhomogeneous Markovian jump T-S fuzzy systems with missing measurements. Peer-to-Peer Netw. Appl. 12, 1761–1773 (2019). https://doi.org/10.1007/s12083-019-00778-4

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  • DOI: https://doi.org/10.1007/s12083-019-00778-4

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