Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(2): 722-729

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

© The International Journal of Control, Automation, and Systems

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

Zhe Wang, Xuefeng Zhang*, Qing-Guo Wang, and Dingyu Xue

Northeastern University

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.

Keywords Fractional order interval systems, fuzzy systems, linear matrix inequality, multi-agent systems, nonfragile controller.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(2): 722-729

Published online February 1, 2024 https://doi.org/10.1007/s12555-022-1009-4

Copyright © The International Journal of Control, Automation, and Systems.

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

Zhe Wang, Xuefeng Zhang*, Qing-Guo Wang, and Dingyu Xue

Northeastern University

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.

Keywords: Fractional order interval systems, fuzzy systems, linear matrix inequality, multi-agent systems, nonfragile controller.

IJCAS
February 2024

Vol. 22, No. 2, pp. 347~729

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