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Asynchronous Dissipative Control and Robust Exponential Mean Square Stabilization for Uncertain Fuzzy Neutral Markov Jump Systems

WANG Jie, ZHUANG Guangming, XIA Jianwei, CHEN Guoliang, ZHAO Junsheng   

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2021-01-07 修回日期:2021-04-29 出版日期:2022-08-25 发布日期:2022-08-02
  • 通讯作者: ZHUANG Guangming,Email:zgmtsg@126.com
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China under Grant Nos. 62173174, 61773191, 61973148, 62003154; Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant No. 2019KJI010; the Natural Science Foundation of Shandong Province for Outstanding Young Talents in Provincial Universities under Grant No. ZR2016JL025; Undergraduate Education Reform Project of higher Education in Shandong Province under Grant No. M2018X047; Liaocheng University Education Reform Project Foundation under Grant Nos. G201811, 26322170267.

WANG Jie, ZHUANG Guangming, XIA Jianwei, CHEN Guoliang, ZHAO Junsheng. Asynchronous Dissipative Control and Robust Exponential Mean Square Stabilization for Uncertain Fuzzy Neutral Markov Jump Systems[J]. 系统科学与复杂性, 2022, 35(4): 1374-1397.

WANG Jie, ZHUANG Guangming, XIA Jianwei, CHEN Guoliang, ZHAO Junsheng. Asynchronous Dissipative Control and Robust Exponential Mean Square Stabilization for Uncertain Fuzzy Neutral Markov Jump Systems[J]. Journal of Systems Science and Complexity, 2022, 35(4): 1374-1397.

Asynchronous Dissipative Control and Robust Exponential Mean Square Stabilization for Uncertain Fuzzy Neutral Markov Jump Systems

WANG Jie, ZHUANG Guangming, XIA Jianwei, CHEN Guoliang, ZHAO Junsheng   

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China
  • Received:2021-01-07 Revised:2021-04-29 Online:2022-08-25 Published:2022-08-02
  • Contact: ZHUANG Guangming,Email:zgmtsg@126.com
  • Supported by:
    This work was supported by the National Natural Science Foundation of China under Grant Nos. 62173174, 61773191, 61973148, 62003154; Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant No. 2019KJI010; the Natural Science Foundation of Shandong Province for Outstanding Young Talents in Provincial Universities under Grant No. ZR2016JL025; Undergraduate Education Reform Project of higher Education in Shandong Province under Grant No. M2018X047; Liaocheng University Education Reform Project Foundation under Grant Nos. G201811, 26322170267.
This paper researches the strict dissipative control problem for uncertain fuzzy neutral Markov jump systems by Takagi-Sugeno fuzzy rules. The asynchronous phenomenon is considered between the uncertain fuzzy neutral Markov jump systems modes and asynchronous fuzzy P-D feedback controller modes, which is described by a hidden Markov model. Via using linear matrix inequalities, the desired asynchronous fuzzy P-D feedback controller is obtained, which can ensure that the closed-loop uncertain fuzzy neutral Markov jump systems satisfies robustly exponential mean square stabilization with strict dissipativity. A numerical example and a single-link robot arm are utilized to demonstrate the effectiveness of the method.
This paper researches the strict dissipative control problem for uncertain fuzzy neutral Markov jump systems by Takagi-Sugeno fuzzy rules. The asynchronous phenomenon is considered between the uncertain fuzzy neutral Markov jump systems modes and asynchronous fuzzy P-D feedback controller modes, which is described by a hidden Markov model. Via using linear matrix inequalities, the desired asynchronous fuzzy P-D feedback controller is obtained, which can ensure that the closed-loop uncertain fuzzy neutral Markov jump systems satisfies robustly exponential mean square stabilization with strict dissipativity. A numerical example and a single-link robot arm are utilized to demonstrate the effectiveness of the method.
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