Predefined-Time Distributed Optimization Problem Subject to Equality Constraint of Second-Order Multi-Agent Systems

In this paper, we consider the predefined-time distributed optimization problem of second-order multi-agent systems under undirected and connected communication networks, in which, the optimization problem subject to the equality constraint. In order to make all agents converge to the optimal soluti...

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Bibliographic Details
Published inChinese Control Conference pp. 1692 - 1697
Main Authors Li, Shiling, Nian, Xiaohong, Deng, Zhenhua, Chen, Zhao, Lei, Chongxin
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 26.07.2021
Subjects
Communication networks
Convergence
Distributed algorithms
Distributed optimization
Generators
Lyapunov methods
Multi-agent systems
Optimization
predefined-time convergence
second-order systems
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ISSN1934-1768
DOI10.23919/CCC52363.2021.9549591

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Summary:In this paper, we consider the predefined-time distributed optimization problem of second-order multi-agent systems under undirected and connected communication networks, in which, the optimization problem subject to the equality constraint. In order to make all agents converge to the optimal solution at predefined-time, we propose a distributed predefined-time control law based on time-base generator technique. Then we guarantee the convergence of the proposed algorithm by the properties of Laplace matrix and orthogonal matrix. Finally, we provide example to illustrate the effectiveness of the proposed distributed algorithm by choosing arbitrary initial values of states and arbitrary convergence time.
ISSN:1934-1768
DOI:10.23919/CCC52363.2021.9549591