Output Consensus for Heterogeneous Nonlinear Multi-Agent Systems Based on T-S Fuzzy Model

• Published in: Journal of systems science and complexity Vol. 30; no. 5; pp. 1042 - 1060
• Main Authors: Li, Xiaolei, Luo, Xiaoyuan, Li, Shaobao, Guan, Xinping
• Format: Journal Article
• Language: English
• Published: Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.10.2017; Springer Nature B.V
• Subjects: Compensation; Complex Systems; Computer simulation; Control; Fuzzy control; Fuzzy systems; Mathematics; Mathematics and Statistics; Mathematics of Computing; Multiagent systems; Network topologies; Nonlinear dynamics; Operations Research/Decision Theory; Statistics; Systems Theory; T-S模糊模型; 一致性问题; 充分必要条件; 多智能体系统; 并行分布式; 模糊建模方法; 系统输出; 非线性; Heterogeneous nonlinear multi-agent system; internal reference model; T-S fuzzy model; output consensus
• ISSN: 1009-6124; 1559-7067
• DOI: 10.1007/s11424-016-5243-9

In this paper, the output consensus problem of general heterogeneous nonlinear multi-agent systems subject to different disturbances is considered. A kind of Takagi-Sukeno fuzzy modeling method is used to describe the nonlinear agents＇ dynamics. Based on the model, a distributed fuzzy observer and controller are designed based on parallel distributed compensation scheme and internal reference models such that the heterogeneous nonlinear multi-agent systems can achieve output consensus. Then a necessary and sufficient condition is presented for the output consensus problem. And it is shown that the consensus trajectory of the global fuzzy model is determined by the network topology and the initial states of the internal reference models. Finally, some simulations are given to illustrate and verify the effectiveness of the proposed scheme.