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Sampled-Data H∞ Dynamic Output Feedback Controller Design for Fuzzy Markovian Jump Systems

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Abstract

This paper considers the issue of H∞ dynamic output feedback controller design for T-S fuzzy Markovian jump systems under time-varying sampling with known upper bound on the sampling intervals. The main aim is to realize sampled-data fuzzy dynamic output feedback control so as to demonstrate the stochastic stability and H∞ performance index of the closed-loop sampled-data fuzzy Markovian jump systems. Then, by making the most of the information within the sampling interval, a suitable closed-loop function is constructed and the integral terms are handled by using free weighted matrix method and improved integral inequality technique. Numerical example and single-link robot arm are presented to show the effectiveness of the developed method.

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Authors and Affiliations

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, China

    Yuqian Lin, Guangming Zhuang, Jianwei Xia & Guoliang Chen

  2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210094, China

    Junwei Lu

Authors
  1. Yuqian Lin
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  2. Guangming Zhuang
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  3. Jianwei Xia
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  4. Guoliang Chen
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  5. Junwei Lu
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Corresponding author

Correspondence to Guangming Zhuang.

Additional information

This paper was supported by the National Natural Science Foundation of China under Grant Nos. 62173174, 61773191, 62003154, 61973148. Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant No. 2019KJI010, the Natural Science Foundation of Shandong Province for Key Projects under Grant No. ZR2020KA010, and Graduate Education High-Quality Curriculum Construction Project for Shandong Province under Grant No. SDYKC20185.

This paper was recommended for publication by Editor LI Hongyi.

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Lin, Y., Zhuang, G., Xia, J. et al. Sampled-Data H∞ Dynamic Output Feedback Controller Design for Fuzzy Markovian Jump Systems. J Syst Sci Complex 36, 239–256 (2023). https://doi.org/10.1007/s11424-022-1196-3

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  • DOI: https://doi.org/10.1007/s11424-022-1196-3

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