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

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 c...

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Published inJournal 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
LanguageEnglish
Published Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.10.2017
Springer Nature B.V
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Abstract 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.
AbstractList 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.
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.
Author LI Xiaolei LUO Xiaoyuan LI Shaobao GUAN Xinping
AuthorAffiliation School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China Polytechnic School of En-gineering, New York University 11201, NY, USA Institute of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai200240, China
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Keywords Heterogeneous nonlinear multi-agent system
internal reference model
T-S fuzzy model
output consensus
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Notes 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.
11-4543/O1
Heterogeneous nonlinear multi-agent system, internal reference model, output consensus,T-S fuzzy model.
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Springer Nature B.V
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Snippet In this paper, the output consensus problem of general heterogeneous nonlinear multi-agent systems subject to different disturbances is considered. A kind of...
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SubjectTerms 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
Title Output Consensus for Heterogeneous Nonlinear Multi-Agent Systems Based on T-S Fuzzy Model
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Volume 30
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