Adaptive control of fractional order delay nonlinear multi-agent systems

被引：0

作者：

Li Y. ^{[1
]}

Mao Z.-Z. ^{[2
]}

Guo Y.-L. ^{[3
]}

Zhang Y.-Z. ^{[1
]}

机构：

[1] School of Automation and Electrical Engineering, Shenyang Ligong University, Liaoning, Shenyang

[2] School of Information Science and Engineering, Northeastern University, Liaoning, Shenyang

[3] BMW Brilliance Automobile Co., Ltd, Liaoning, Shenyang

来源：

Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2023年 / 40卷 / 06期

基金：

中国国家自然科学基金;

关键词：

delay: adaptive control; fractional Halanay inequality stability theorem; fractional multi-agent system; uniformity;

D O I：

10.7641/CTA.2022.11027

中图分类号：

学科分类号：

摘要：

For the problems of time delay and nonlinearity in fractional order multi-agent system, which often leads to the performance degradation and even system instability of the control system, an adaptive control method for fractional order multi-agent system with time delay nonlinearity is proposed. For the control protocol of multi-agent system, an adaptive control protocol based on the state information of leaders and adjacent agents is designed to reduce the energy waste caused by too large constant control gain. For consistency, the LMI consistency conditions of fractional delay nonlinear multi-agent systems are obtained by using the basis of graph theory, the stability theorem of fractional Halanay inequality, the Kronecker product and the Schur complement lemma. Simulation results verify the correctness and effectiveness of the proposed algorithm. Because integer order system is a special form of fractional order system, the conclusion of this paper can be directly extended to the integer order multi-agent system. © 2023 South China University of Technology. All rights reserved.

引用

页码：1089 / 1096

页数：7

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