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Distributed Optimal Consensus Control Algorithm for Continuous-Time Multi-Agent Systems

delete2020-01-01
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PRE
AI
Q
Qishao Wang
Z
Zhisheng Duan *
J
Jingyao Wang
DOI:10.1109/TCSII.2019.2900758delete
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摘要

摘要

En 中文
This brief proposes a distributed algorithm to solve the optimal consensus control problem of continuous-time multi-agent systems. With the definition of consensus manifold, the utility function of the optimization problem is formulated as a linear quadratic polynomial which indicates the tradeoff between convergence rate and energy cost in a finite horizon. Applying the alternating direction method of multiplier, the optimal consensus problem is separated into three subproblems: 1) an input optimization problem; 2) a consensus state optimization problem; and 3) a dual optimization problem, thereby separating the communication topology and the agents dynamics. Then, these subproblems can be analyzed and solved independently, following from which that a distributed control algorithm is proposed to allow the continuous-time multi-agent systems to reach optimal consensus. A numerical example is given to demonstrate the effectiveness of the proposed algorithm.
Keyword:
Optimization
Indexes
Multi-agent systems
Convergence
Heuristic algorithms
Optimal control
Riccati equations
Optimal consensus
distributed optimization
optimal control systems
heterogeneous systems
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期刊

I
IEEE Transactions on Circuits and Systems and Express Briefs
IF:
4.9
论文数:
8.8K
被引数:
2.5W

机构

P
peking university
学者数:
11.9W
论文数: 8.7W
被引数: 146
X
xiamen university
学者数:
5.9W
论文数: 3.8W
被引数: 67
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