Fuzzy tracking control of singular multi-agent systems under switching topology

Jiawen Li; Yi Zhang; Heung-wing Joseph Lee; Yingying Wang; Jiawen Li; Yi Zhang; Heung-wing Joseph Lee; Yingying Wang

doi:10.3934/math.20241440

AIMS Mathematics

2024, Volume 9, Issue 11: 29718-29735. doi: 10.3934/math.20241440

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Fuzzy tracking control of singular multi-agent systems under switching topology

1.
School of Science, Shenyang University of Technology, Shenyang, 110870, China
2.
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong SAR, China

Received: 19 July 2024 Revised: 26 September 2024 Accepted: 11 October 2024 Published: 21 October 2024
MSC : 93D50, 05Cxx

The consensus tracking problem of leader-follower multi-agent systems (MASs) with singular structures on jointly connected topology is studied in this paper. To achieve the objective of consensus tracking, a distributed adaptive control protocol is formulated to adjust the coupling weights among the agents using the adaptive rate, where the adaptive protocol can be implemented by each agent in a fully distributed manner without using any global information. A fuzzy logic system method is used to deal with the nonlinear terms in response to the limitations of nonlinear system analysis. The consensus tracking problem is transformed into an error system stability analysis, and two sufficient conditions are provided to guarantee the control objective based on Lyapunov stability theory and singular system theory. Finally, the effectiveness of this method is verified through a simulation example.
- consensus tracking,
- singular multi-agent systems,
- swiching topology,
- fuzzy logic system
Citation: Jiawen Li, Yi Zhang, Heung-wing Joseph Lee, Yingying Wang. Fuzzy tracking control of singular multi-agent systems under switching topology[J]. AIMS Mathematics, 2024, 9(11): 29718-29735. doi: 10.3934/math.20241440

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Abstract

The consensus tracking problem of leader-follower multi-agent systems (MASs) with singular structures on jointly connected topology is studied in this paper. To achieve the objective of consensus tracking, a distributed adaptive control protocol is formulated to adjust the coupling weights among the agents using the adaptive rate, where the adaptive protocol can be implemented by each agent in a fully distributed manner without using any global information. A fuzzy logic system method is used to deal with the nonlinear terms in response to the limitations of nonlinear system analysis. The consensus tracking problem is transformed into an error system stability analysis, and two sufficient conditions are provided to guarantee the control objective based on Lyapunov stability theory and singular system theory. Finally, the effectiveness of this method is verified through a simulation example.

References

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