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Dissipativity-Based Non-fragile Sampled-Data Control for Fuzzy Markovian Jump Systems

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Abstract

In this chapter, the problem of dissipativity analysis and non-fragile sampled-data control is investigated for fuzzy Markovian jump systems. Firstly, based on the mode-dependent Lyapunov function consisting of a two-sided closed-loop function where the information of both intervals \(x(t_{k})\) to x(t) and x(t) to \(x(t_{k+1})\) is well utilized, the stochastically stable criteria and strictly (\({\mathcal {Q}}\),\({\mathcal {S}}\),\({\mathcal {R}}\))-\(\gamma\)-dissipative criteria are proposed in the form of linear matrix inequalities. And then, according to the strictly dissipativity criteria, a non-fragile controller with state feedback is considered for the studied systems. Finally, a truck–trailer model is given to demonstrate the efficiency of the presented method.

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Acknowledgements

The authors would like to thank the editors and the reviewers for their comments and constructive suggestions, which helped to greatly improve the paper. This work was supported by the National Natural Science Foundation of China under Grants 61573177, 61773191, 61603170.

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Authors and Affiliations

  1. School of Mathematics Science, Liaocheng University, Liaocheng, 252000, People’s Republic of China

    Xingyue Liang, Jianwei Xia, Guoliang Chen & Huasheng Zhang

  2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People’s Republic of China

    Zhen Wang

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  1. Xingyue Liang
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  2. Jianwei Xia
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Correspondence to Jianwei Xia.

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Liang, X., Xia, J., Chen, G. et al. Dissipativity-Based Non-fragile Sampled-Data Control for Fuzzy Markovian Jump Systems. Int. J. Fuzzy Syst. 21, 1709–1723 (2019). https://doi.org/10.1007/s40815-019-00691-1

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