Type-2 fuzzy consensus control of nonlinear multi-agent systems: An LMI approach |
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| Authors: | Ali Afaghi Sehraneh Ghaemi Amir Rikhtehgar Ghiasi Mohammad Ali Badamchizadeh |
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| Institution: | 1. CRIStAL, UMR CNRS 9189, Centrale Lille, Villeneuve d’Ascq 59651, France;2. School of Science, Beijing Jiaotong University, Beijing 100044, PR China;1. School of Computer and Control Engineering, Yantai University, Yantai, Shandong 264005, China;2. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China;3. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;2. Universit d’Evry Val d’Essonne, Evry 91000, France;3. Dogus University, 34722Istanbul, Republic of Turkey;1. School of Automation, China University of Geosciences, Wuhan, 430074, P R China;2. Hubei key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, P R China |
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| Abstract: | This paper considers a class of nonlinear fractional-order multi-agent systems (FOMASs) with time-varying delay and unknown dynamics, and a new robust adaptive control technique is proposed for cooperative control. The unknown nonlinearities of the systems are online approximated by the introduced recurrent general type-2 fuzzy neural network (RGT2FNN). The unknown nonlinear functions are estimated, simultaneously with the control process. In other words, at each sample time the parameters of the proposed RGT2FNNs are updated and then the control signals are generated. In addition to the unknown dynamics, the orders of the fractional systems are also supposed to be unknown. The biogeography-based optimization algorithm (BBO) is extended to estimate the unknown parameters of RGT2FNN and fractional-orders. A LMI based compensator is introduced to guarantee the robustness of the proposed control system. The excellent performance and effectiveness of the suggested method is verified by several simulation examples and it is compared with the other methods. It is confirmed that the introduced cooperative controller results in a desirable performance in the presence of time-varying delay, unknown dynamics, and unknown fractional-orders. |
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