Adaptive neural networks event-triggered fault-tolerant consensus control for a class of nonlinear multi-agent systems

Zuo Wang; Hong Xue; Yingnan Pan; Hongjing Liang; Zuo Wang; Hong Xue; Yingnan Pan; Hongjing Liang

doi:10.3934/math.2020179

AIMS Mathematics

2020, Volume 5, Issue 3: 2780-2800. doi: 10.3934/math.2020179

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Research article

Adaptive neural networks event-triggered fault-tolerant consensus control for a class of nonlinear multi-agent systems

1.
School of Engineering, Bohai University, Jinzhou 121013, Liaoning, China
2.
School of Mathematics and Physics, Bohai University, Jinzhou 121013, Liaoning, China

Received: 24 December 2019 Accepted: 05 March 2020 Published: 17 March 2020
MSC : 93B52, 93C95, 93D05

This paper studies the event-triggered fault-tolerant control problem of nonlinear multi-agent systems. The goal is to ensure the stability of event-based sampling multi-agent systems when the actuator faults occurs. The neural networks approximate property is used to approximate unknown ideal control parameters, which can reduce the exact requirements of control parameters. Based on the states information of neighboring agents, a distributed fault-tolerant consensus controller is designed for the leaderless multi-agent systems. Moreover, an event-triggered mechanism with special definition of event-triggered error is applied to reduce the amount of communications. In addition, the Zeno behaviour is avoided. By using Lyapunov stability theory, it is proved that all signals are bounded in the closed-loop systems. Finally, a numerical simulation result is presented to prove the effectiveness of the proposed method.
- fault-tolerant control,
- event-triggered mechanism,
- multi-agent systems,
- neural networks,
- lyapunov stability theory
Citation: Zuo Wang, Hong Xue, Yingnan Pan, Hongjing Liang. Adaptive neural networks event-triggered fault-tolerant consensus control for a class of nonlinear multi-agent systems[J]. AIMS Mathematics, 2020, 5(3): 2780-2800. doi: 10.3934/math.2020179

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Abstract

This paper studies the event-triggered fault-tolerant control problem of nonlinear multi-agent systems. The goal is to ensure the stability of event-based sampling multi-agent systems when the actuator faults occurs. The neural networks approximate property is used to approximate unknown ideal control parameters, which can reduce the exact requirements of control parameters. Based on the states information of neighboring agents, a distributed fault-tolerant consensus controller is designed for the leaderless multi-agent systems. Moreover, an event-triggered mechanism with special definition of event-triggered error is applied to reduce the amount of communications. In addition, the Zeno behaviour is avoided. By using Lyapunov stability theory, it is proved that all signals are bounded in the closed-loop systems. Finally, a numerical simulation result is presented to prove the effectiveness of the proposed method.

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