This article adopts the event-triggered control strategy to investigate the consensus problem of multiagent systems. Owing to the effect of random noises, the communication information among agents is transmitted based on binary-valued measurements. Each agent employs the recursive projection algorithm to estimate the states of all neighbors. Then, an event-triggered protocol with time-varying threshold parameters is proposed to guarantee that the state of each agent can lie within the same bounded region as the estimate of its neighbors' states. Furthermore, this article emphasizes that this kind of same bounded relation is necessary and essential to achieve a precise state estimate and the desired consensus performance. By the designed control law, the estimation error and the consensus error can converge to zero in the mean square sense with explicit convergence rates O(t(-a))(a>0is a constant). Finally, this article shows that the communication rate of the designed control scheme can almost surely converge to zero with a rate o (t(-kappa)) ( kappa > 0 is a constant), and is much lower than the existing results when achieving the same convergence value. Thus, the communication resources can be saved. An example is presented to illustrate the advantage of the proposed control strategy.

Publication:

IEEE Transactions on Automatic Control (Volume: 69, Issue: 7, July 2024)

http://dx.doi.org/10.1109/TAC.2023.3347480

Author:
Xiaodong Lu

Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China

Email: luxiaodong@amss.ac.cn

Ting Wang

School of Intelligence Science and Technology, University of Science and Technology Beijing, Beijing, China

Institute of Artificial Intelligence, University of Science and Technology Beijing, Beijing, China

Email: wangting@ustb.edu.cn

Yanlong Zhao

LSC, NCMIS, Academy of Mathematics, and Systems Science, Chinese Academy of Sciences, Beijing, China

School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China

Email: ylzhao@amss.ac.cn