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Interval Type-2 Fuzzy Dissipative Control for Multiagent Systems with Markovian Switching Parameters Via Dynamic Event-Triggered and Double-Quantized Schemes

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Abstract

This paper focuses on Interval type-2 (IT2) fuzzy dissipative control for Markov jump nonlinear multiagent systems with partially-known transition rate via dynamic event-triggered protocol (ETP) and double-quantized schemes. Firstly, the integration strategy of dynamic ETP and double-quantized law are proposed as effective methods to reduce the communication frequency, where the dynamic threshold parameter is dynamically adjusted rather than remaining constant, and the input and output data of the controller are quantized by different quantizers in order to reduce conservativeness; Secondly, strictly dissipative performance is taken into account, and the nonlinear features are successfully eliminated by applying a distinctive IT2 T-S fuzzy model with imperfect premise matching; Furthermore, via solving the convex optimization problem, the desired fuzzy feedback controller gains are acquired; Eventually, the utility of the suggested algorithm is demonstrated by an example.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grants 11661028, the Natural Science Foundation of Guangxi under Grant 2020GXNSFAA159141, Guangxi Philosophy and Social Science Programming Project (2022) under Grant 22BTJ001.

Author information

Authors and Affiliations

  1. College of Science, Guilin University of Technology, Guilin, 541004, Guangxi, People’s Republic of China

    Linghuan Kong & Mengzhuo Luo

  2. College of Mathematics and Statistics, Guangxi Normal University, Guilin, 541006, Guangxi, People’s Republic of China

    Jun Cheng

  3. School of Cyber Science and Engineering, Sichuan University, Chengdu, 610065, Sichuan, People’s Republic of China

    Xin Wang

  4. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, Sichuan, People’s Republic of China

    Kaibo Shi

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  1. Linghuan Kong
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  2. Mengzhuo Luo
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Correspondence to Mengzhuo Luo.

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Kong, L., Luo, M., Cheng, J. et al. Interval Type-2 Fuzzy Dissipative Control for Multiagent Systems with Markovian Switching Parameters Via Dynamic Event-Triggered and Double-Quantized Schemes. Int. J. Fuzzy Syst. 25, 2020–2035 (2023). https://doi.org/10.1007/s40815-023-01492-3

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