A novel distributed fuzzy adaptive control approach is studied for a class of heterogeneous uncertain nonlinear multi-agent systems with different dimensions. Similar definition and property of each agent are introduced, and similar parameters among each agent can be obtained using the proposed properties, then the feedback distributed fuzzy adaptive control based on similar matrices and vectors is designed such that all followers can asymptotically track the leader’s dynamic behaviors. It is proved that the consensus problem of heterogeneous nonlinear multi-agent systems with different dimensions can be guaranteed by applying the proposed control strategy. An efficient framework is that the computation burden can be alleviated greatly because of a few adaptive laws. Finally, two simulation examples are provided to verify the effectiveness of the designed control method.

针对一类具有不同维数的异构不确定非线性多智能体系统，研究了一种新颖的分布式模糊自适应控制方法。介绍了每个主体的相似定义和性质，并利用所提出的性质获得了各个主体之间的相似参数，然后设计了基于相似矩阵和向量的反馈分布式模糊自适应控制，使所有跟随者都可以渐近跟踪领导者的动态行为。 。实践证明，采用所提出的控制策略可以保证不同维数的异构非线性多主体系统的共识问题。一个有效的框架是由于一些自适应定律，可以大大减轻计算负担。最后，