State-based event-triggered consensus strategy for Takagi-Sugeno fuzzy fractional-order multiagent systems with switching topologies

Taotao Hu; Ju H Park; Zheng He; Xiaojun Zhang; Shouming Zhong

doi:10.1016/j.isatra.2021.07.022

State-based event-triggered consensus strategy for Takagi-Sugeno fuzzy fractional-order multiagent systems with switching topologies

ISA Trans. 2022 Jul:126:109-120. doi: 10.1016/j.isatra.2021.07.022. Epub 2021 Jul 17.

Authors

Taotao Hu¹, Ju H Park², Zheng He³, Xiaojun Zhang⁴, Shouming Zhong⁵

Affiliations

¹ School of Management and Economics, University of Electronic Science and Technology of China, Chengdu 611731, PR China. Electronic address: httcyl@126.com.
² Department of Electrical Engineering, Yeungnam University, Kyongsan 38541, Republic of Korea. Electronic address: jessie@ynu.ac.kr.
³ School of Management and Economics, University of Electronic Science and Technology of China, Chengdu 611731, PR China. Electronic address: hezh@uestc.edu.cn.
⁴ School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China. Electronic address: sczhxj@uestc.edu.cn.
⁵ School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China. Electronic address: zhongsm@uestc.edu.cn.

PMID: 34303529
DOI: 10.1016/j.isatra.2021.07.022

Abstract

This article addresses the event-triggered consensus problem for Takagi-Sugeno fuzzy fractional-order multiagent systems with switching topologies. First, to effectively avoid the frequent communication among agents, a state-based event-triggered consensus strategy is designed, which uses the local information from neighboring agents at sampling moments. Then, several sufficient conditions, which rely on the fractional derivative number and time delay information, are presented to guarantee the consensus of fractional-order multiagent systems based on Takagi-Sugeno fuzzy model. Moreover, Zeno behaviors are precluded by proving that the interval length of the two consecutive event-triggering moments for each agent is greater than a positive constant. Finally, some numerical examples are presented, which not only demonstrated the rationality of our proposed consensus protocol but also shown that the presented consensus method based on the designed event-triggered control protocol has the advantage for avoiding communication congestion compared to the existing results.

Keywords: Event-triggered control; Fractional-order systems; Multiagent systems; Takagi–Sugeno fuzzy; Zeno behavior.