Event-Triggered Bipartite Consensus for Fuzzy Multiagent Systems Under Markovian Switching Signed Topology
- Authors
- Yu, Jiafeng; Ahn, Choon Ki; Shi, Peng
- Issue Date
- 7월-2022
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Topology; Switches; Consensus protocol; Multi-agent systems; Laplace equations; Simulation; Numerical models; Event-triggered control (ETC); fuzzy modeling; Markovian switching topology; multiagent system (MAS); strict dissipativity
- Citation
- IEEE TRANSACTIONS ON FUZZY SYSTEMS, v.30, no.7, pp.2610 - 2620
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON FUZZY SYSTEMS
- Volume
- 30
- Number
- 7
- Start Page
- 2610
- End Page
- 2620
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/142935
- DOI
- 10.1109/TFUZZ.2021.3089740
- ISSN
- 1063-6706
- Abstract
- In this article, we study the problems of bipartite and cooperative consensus with a strictly dissipative performance for fuzzy multiagent systems (MASs) in a unified framework. First, we prove that bipartite consensus over a structurally balanced signed graph is equivalent to cooperative consensus over the corresponding unsigned graph by leveraging the gauge transformation for a class of nonlinear MASs. Then, a polynomial fuzzy model is constructed to describe the nonlinear MAS formed by one leader and followers. For mitigating communication and computational load, a mode-dependent event-triggered transmission strategy is proposed. By establishing the switching topologies through Markovian process, a new sampled-data event-triggered consensus protocol is designed. With a mode-dependent Lyapunov-Krasovskii function, a novel relaxed dissipative criterion is obtained. The criterion guarantees that all agents can achieve both event-triggered cooperative consensus and event-triggered bipartite consensus with the same magnitude but opposite signs for MASs over structurally balanced signed directed graphs and Markovian switching topologies. Moreover, the event-triggered parameters and consensus control gains can be numerically solved via the sum-of-squares method. Simulation results are given to show the effectiveness of the proposed design method.
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