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Cooperative impulsive formation control for networked uncertain Euler–Lagrange systems with communication delays
引用本文:陈亮名,李传江,孙延超,马广富. Cooperative impulsive formation control for networked uncertain Euler–Lagrange systems with communication delays[J]. 中国物理 B, 2017, 26(6): 68703-068703. DOI: 10.1088/1674-1056/26/6/068703
作者姓名:陈亮名  李传江  孙延超  马广富
作者单位:School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant Nos. 61304005, 61403103, 61673135, and 61603114).
摘    要:This paper investigates the cooperative formation problem via impulsive control for a class of networked Euler–Lagrange systems. To reduce the energy consumption and communication frequency, the impulsive control method and cooperative formation control approach are combined. With the consideration of system uncertainties and communication delays among agents, neural networks-based adaptive technique is used for the controller design. Firstly, under the constraint that each agent interacts with its neighbors only at some sampling moments, an adaptive neural-networks impulsive formation control algorithm is proposed for the networked uncertain Euler–Lagrange systems without communication delays. Using Lyapunov stability theory and Laplacian potential function in the graph theory, we conclude that the formation can be achieved by properly choosing the constant control gains. Further, when considering communication delays,a modified impulsive formation control algorithm is proposed, in which the extended Halanay differential inequality is used to analyze the stability of the impulsive delayed dynamical systems. Finally, numerical examples and performance comparisons with continuous algorithm are provided to illustrate the effectiveness of the proposed methods.

收稿时间:2016-12-22

Cooperative impulsive formation control for networked uncertain Euler-Lagrange systems with communication delays
Affiliation:School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
Abstract:This paper investigates the cooperative formation problem via impulsive control for a class of networked Euler-Lagrange systems. To reduce the energy consumption and communication frequency, the impulsive control method and cooperative formation control approach are combined. With the consideration of system uncertainties and communication delays among agents, neural networks-based adaptive technique is used for the controller design. Firstly, under the constraint that each agent interacts with its neighbors only at some sampling moments, an adaptive neural-networks impulsive formation control algorithm is proposed for the networked uncertain Euler-Lagrange systems without communication delays. Using Lyapunov stability theory and Laplacian potential function in the graph theory, we conclude that the formation can be achieved by properly choosing the constant control gains. Further, when considering communication delays, a modified impulsive formation control algorithm is proposed, in which the extended Halanay differential inequality is used to analyze the stability of the impulsive delayed dynamical systems. Finally, numerical examples and performance comparisons with continuous algorithm are provided to illustrate the effectiveness of the proposed methods.
Keywords:formation control  multi-agent systems  impulsive control  Euler-Lagrange system  
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