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Leader-following Non-fragile Consensus Control of Fuzzy Multi-agent Fractional Order Interval Systems

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  • Intelligent Control and Applications
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Abstract

The consensus control of fuzzy multi-agent fractional order interval systems (MA-FOISs) is proposed in this brief. Firstly, a new model of fuzzy MA-FOISs based on the non-fragile observer is presented. Then, by using the technologies of generalised matrix singular value decomposition (SVD) and linear matrix inequalities (LMIs), the sufficient conditions for determining the consensus of fuzzy MA-FOISs are given through the equivalence of the stability and the consensus of multi-agent systems (MASs). Moreover, when the actual system does not need to be described by the fuzzy set, the consensus conditions for the MA-FOISs are given. Finally, the validity of the results given are illustrated by the numerical example.

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Zhe Wang & Dingyu Xue

  2. College of Sciences, Northeastern University, Shenyang, Liaoning, 110819, China

    Xuefeng Zhang

  3. Institute of Artificial Intelligence and Future Networks, Beijing Normal University at Zhuhai; BNU-HKBU United International College, Zhuhai, 519087, China

    Qing-Guo Wang

Authors
  1. Zhe Wang
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  2. Xuefeng Zhang
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  3. Qing-Guo Wang
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Correspondence to Xuefeng Zhang.

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This work is supported by “the Fundamental Research Funds for the Central Universities” N2224005-3.

Zhe Wang received her B.Sc. degree from the School of Mathematics and Science, Bohai University, in 2018. She is currently pursuing a Ph.D. degree in the School of Information Science and Engineering, Northeastern University, Shenyang, China. Her research interests include fractional order systems, Takagi-Sugeno fuzzy systems, and multi agent systems.

Xuefeng Zhang received his B.Sc. degree in applied mathematics and his M.S. and Ph.D. degrees in control theory and control engineering from Northeastern University, Shenyang, China, in 1989, 2004, and 2008, respectively. He is currently with the College of Sciences, Northeastern University. He has published more than 200 journal and conference papers and three books. His research interests include fractional order control systems and singular systems. He is also an Associate Editors of IEEE Access, Fractal Fract, IET Electronics Letters and Journal of the Chinese Institute of Engineers and is the Committee Member of Technical Committee on Fractional Systems and Control of Chinese Association of Automation.

Qing-Guo Wang received his B.Eng. degree in chemical engineering, his M.Eng. and Ph.D. degrees in industrial automation from Zhejiang University, China, in 1982, 1984, and 1987, respectively. He held the Alexander-von-Humboldt Research Fellowship of Germany, from 1990 to 1992. He is currently with the Institute of Articial Intelligence and Future Networks, Beijing Normal University and United International College (UIC). He has published more than 250 international journal articles and six books. He received nearly 18,000 citations with H-index of 72. His research interests include modeling, estimation, prediction, control, optimization, and automation for complex systems, including but not limited to, industrial and environmental processes, new energy devices, defense systems, medical engineering, and financial markets.

Dingyu Xue received his Ph.D. degree from Sussex University, England in 1992, and served as a professor with the School of Information Science and Engineering, Northeastern University, China since 1997. His current main research interest is simulation and control of fractional-order systems.

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Wang, Z., Zhang, X., Wang, QG. et al. Leader-following Non-fragile Consensus Control of Fuzzy Multi-agent Fractional Order Interval Systems. Int. J. Control Autom. Syst. 22, 722–729 (2024). https://doi.org/10.1007/s12555-022-1009-4

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  • DOI: https://doi.org/10.1007/s12555-022-1009-4

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