Nash Equilibrium Optimization Control Method for Formation Problem of Non-Cooperative Swarm Systems

被引：0

作者：

Chen, Hongwei ^{[1
]}

Zhang, Qingjie ^{[1
]}

Ge, Yuanzheng ^{[1
]}

Zhou, Wenhong ^{[1
]}

机构：

[1] Aviation University of Air Force, Changchun

来源：

Computer Engineering and Applications | 2024年 / 60卷 / 07期

关键词：

distributed; Nash equilibrium; non-cooperative optimization; swarm systems formation control;

D O I：

10.3778/j.issn.1002-8331.2309-0140

中图分类号：

学科分类号：

摘要：

A distributed non-cooperative optimization control method is proposed for the formation control problem for swarm systems. Firstly, a mathematical model of the formation control for swarm systems and individual cost function are established, and a distributed control protocol framework is designed using consensus strategy. Secondly, the framework for the control protocol with parameters is designed based on Nash equilibrium theory. Then, necessary and sufficient conditions for the time-varying formation of the swarm systems are given, and the stability of the system and parameter selection methods are analyzed using the Lyapunov method. Finally, the effectiveness of the method is verified through the simulation experiment and the improvements in optimization performance and convergence speed. © 2024 Journal of Computer Engineering and Applications Beijing Co., Ltd.; Science Press. All rights reserved.

引用

页码：84 / 91

页数：7

共 29 条

[21]

HU J, LANZON A., Cooperative adaptive time-varying formation tracking for multi-agent systems with LQR performance index and switching directed topologies, 2018 IEEE Conference on Decision and Control (CDC), pp. 5102-5107, (2018)

[22]

JOND H B, NABIYEV V V, LUKAS D., Linear quadratic differential game formulation for leaderless formation control, Journal of Industrial and Systems Engineering, 11, pp. 47-58, (2017)

[23]

JOND H B, NABIYEV V V, OZMEN N G, Et al., Existence of Nash equilibrium in differential game approach to formation control, International Journal of Robotics and Automation, 33, 4, pp. 428-434, (2018)

[24]

JOND H B, VASIF N., On the finite horizon Nash equilibrium solution in the differential game approach to formation control, Journal of Systems Engineering and Electronics, 30, 6, pp. 1233-1242, (2019)

[25]

WU X J, ZHOU J L, LI Y L, Et al., A constructive semiglobal differential game design method for multi-agent systems under input constraint and collision avoidance, 2021 China Automation Congress (CAC), pp. 3746-3753, (2021)

[26]

ZHENG D Z., Linear system theory, pp. 224-231, (2002)

[27]

NASH J., Non-cooperative games, Annals of Mathematics, pp. 286-295, (1951)

[28]

ZHANG J., Optimal control: mathematical theory and intelligent method, pp. 282-296, (2017)

[29]

LIN W., Distributed UAV formation control using differential game approach, Aerospace Science and Technology, 35, pp. 54-62, (2014)

← 1 2 3 →