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Fuzzy consensus of multi-agent systems with granular fuzzy uncertainty in communication topology |
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| Authors: | Razieh Abdollahipour Khosro Khandani Ali Akbar Jalali |
| Affiliation: | 1. Department of Control, School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran Contribution: Investigation, Methodology, Software, Validation;2. Department of Electrical Engineering, Faculty of Engineering, Arak University, Arak, Iran;3. Department of Control, School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran |
| Abstract: | In this paper, the consensus problem in linear multi-agent systems with uncertain topology is investigated. The uncertainty in the communication topology is represented by granular fuzzy numbers obtained from expert knowledge, and the required calculations are performed with multidimensional relative–distance–measurement interval arithmetic. The concept of granular fuzzy graph and fuzzy Gershgorin disc theorem is introduced. Then a fuzzy consensus protocol is proposed for the multi-agent system with fuzzy granular uncertain topology. A two-step algorithm is also proposed to build the consensus protocol. We also propose a theorem for calculating the final value of fuzzy consensus, which shows the final value of consensus as a fuzzy number. Simulation results show the efficiency of the suggested algorithm. |
| Keywords: | consensus granular fuzzy multi-agent systems uncertain topology |