Edge event-triggered control and state-constraint impulsive consensus for nonlinear multi-agent systems

Le You; Chuandong Li; Xiaoyu Zhang; Zhilong He; Le You; Chuandong Li; Xiaoyu Zhang; Zhilong He

doi:10.3934/math.2020266

AIMS Mathematics

2020, Volume 5, Issue 5: 4151-4167. doi: 10.3934/math.2020266

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Research article

Edge event-triggered control and state-constraint impulsive consensus for nonlinear multi-agent systems

College of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR China

Received: 06 January 2020 Accepted: 31 March 2020 Published: 29 April 2020
MSC : 34, 37

In the paper, some consensus problems of multi-agent system controlled by edge event-triggered strategy and state-constraint impulsive are taken into account. For the state-constraint impulsive protocol, two types of control protocols which contain input saturation and double actuator saturation are put forward. With regard to the edge event-triggered control, we propose the rule of it and let the time of the edge event-triggered be impulsive time to avoid the Zeno-behavior. Then, compared to the control method of others, we can greatly reduce the cost in the process of exchanging information. Next, some sufficient conditions of the system are required to reach consensus. In the end, a few examples are exploited for testing and checking the theoretical analyses.
- edge event-triggered strategy,
- multi-agent system,
- impulsive protocol,
- input saturation,
- actuator saturation
Citation: Le You, Chuandong Li, Xiaoyu Zhang, Zhilong He. Edge event-triggered control and state-constraint impulsive consensus for nonlinear multi-agent systems[J]. AIMS Mathematics, 2020, 5(5): 4151-4167. doi: 10.3934/math.2020266

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Abstract

In the paper, some consensus problems of multi-agent system controlled by edge event-triggered strategy and state-constraint impulsive are taken into account. For the state-constraint impulsive protocol, two types of control protocols which contain input saturation and double actuator saturation are put forward. With regard to the edge event-triggered control, we propose the rule of it and let the time of the edge event-triggered be impulsive time to avoid the Zeno-behavior. Then, compared to the control method of others, we can greatly reduce the cost in the process of exchanging information. Next, some sufficient conditions of the system are required to reach consensus. In the end, a few examples are exploited for testing and checking the theoretical analyses.

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