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.
Bibliographical noteFunding Information:
This work was supported in part by the Jiangsu Province Natural Science Foundation under GrantBK20191457, in part by theKey-areaResearch andDevelopment Program of Guangdong Province under Grant 2020B0909020001, in part by the Science and Technology Research Project of Chongqing Education Commission under Grant KJZD-M201900801 and Grant KJQN201900831, in part by Chongqing Natural Science Foundation under Grant cstc2020jcyj-msxmX0077, and in part by the National Research Foundation of Korea (NRF) funded by the Korea government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449.
© 1993-2012 IEEE.
- Event-triggered control (ETC)
- Markovian switching topology
- fuzzy modeling
- multiagent system (MAS)
- strict dissipativity
ASJC Scopus subject areas
- Control and Systems Engineering
- Computational Theory and Mathematics
- Artificial Intelligence
- Applied Mathematics