| 摘 要: 针对分数阶导数α相同,但状态变量的分量对应的分数阶导数αi,i∈{1,2,…,n}不同的一类不相称分数阶多智能体系统在有向图中的领导跟随一致性问题,提出了一种新的控制方法,通过将一致性问题转化为不相称分数阶系统的稳定性问题。基于李雅普诺夫稳定性理论,提出了线性矩阵不等式条件来确定控制器增益与基于观测器的控制器增益,并证明了新方法的领导跟随一致性。由数值仿真结果可知,仿真系统仅需约25s即可达到稳定状态,证明该方法能够有效实现领导跟随一致性,验证了该方法的理论结果。 |
| 关键词: 领导跟随一致性 不相称分数阶系统 分数阶多智能体 控制协议 |
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中图分类号:
文献标识码: A
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| 基金项目: 国家自然科学基金资助项目(61663005) |
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| A Leader-Following Consensus Analysis of Incommensurate Fractional-Order Multi-Agent Systems |
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YANG Hui1, LONG Fei1,2
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(1.College of Electrical Engineering, Guizhou University, Guiyang 550025, China;
2.School of Artificial Intelligence and Electrical Engineering, Guizhou Institute of Technology, Guiyang 550003, China)
yanghui6923@163.com; feilong@git.edu.cn
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| Abstract: This paper addresses the leade-r following consensus problem for a class of incommensurate fractiona-l order multi-agent systems in directed graphs, where the fractiona-l order derivatives of the components of the state variables are different despite the same fractiona-l orderα A novel control approach is proposed by transforming themconsensus problem into a stability problem of incommensurate fractiona-l order systems. Based on Lyapunov stability theory, linear matrix inequality conditions are established to determine the controller gain and observer based controller gain, and leade-r following consensus is proven. Numerical simulation results show that the system stabilizes in approximately 25 seconds, demonstrating the effectiveness of the proposed method in achieving leade-r following consensus and validating the theoretical results. |
| Keywords: leader following consensus incommensurate fractional order systems fractional order multi-agentsystems control protocol |
