Distributed Convex Optimization for Flocking of Nonlinear Multi-agent Systems

A distributed optimization problem with differentiable convex objective function is discussed for continuous-time multi-agent systems with flocking behavior of a nonlinear continuous function. The goal of this paper is to design a controller by using only local interaction information, thus making v...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2019, Automation, and Systems, 17(5), , pp.1177-1183
Main Authors: Zhang, Qing, Gong, Zhikun, Yang, Zhengquan, Chen, Zengqiang
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Control
Control systems design
Convexity
Engineering
Mechatronics
Multiagent systems
Nonlinear systems
Optimization
Regular Papers
Robotics
제어계측공학
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Summary:A distributed optimization problem with differentiable convex objective function is discussed for continuous-time multi-agent systems with flocking behavior of a nonlinear continuous function. The goal of this paper is to design a controller by using only local interaction information, thus making velocities of all agents be the same. Then the stability of the multi-agent systems is proved and the velocities converge to the value minimizing the sum of local objective functions. Moreover, the paper got some sufficient conditions for the consensus and the optimization. Finally, a numerical case is used to verify the analytical results.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-018-0191-x