This article addresses the one-bit consensus of controllable linear multiagent systems (MASs) with communication noises. A consensus algorithm consisting of a communication protocol and a consensus controller is designed. The communication protocol introduces a linear compression encoding function to achieve a one-bit data rate, thereby saving communication costs. The consensus controller with a stabilization term and a consensus term is proposed to ensure the consensus of a potentially unstable but controllable MAS. Specifically, in the consensus term, we adopt an estimation method to overcome the information loss caused by one-bit communications and a decay step to attenuate the effect of communication noise. Two combined Lyapunov functions are constructed to overcome the difficulty arising from the coupling of the control and estimation. By establishing similar iterative structures of these two functions, this article shows that the MAS can achieve consensus in the mean square sense at the rate of the reciprocal of the iteration number under the case with a connected fixed topology. Moreover, the theoretical results are generalized to the case with jointly connected Markovian switching topologies by establishing a certain equivalence relationship between the Markovian switching topologies and a fixed topology. Two simulation examples are given to validate the algorithm.

Publication:

IEEE TRANSACTIONS ON AUTOMATIC CONTROL

http://dx.doi.org/10.1109/TAC.2026.3680847

Author:

Ru An

Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

School of Mathematics Sciences, University of Chinese Academy of Sciences, Beijing 100149, China.

Email：anru@amss.ac.cn

Ying Wang

Key Laboratory of Systems and Control, AMSS, Chinese Academy of Sciences, Beijing 100190, China

Department of Decision and Control Systems, KTH Royal Institute of Technology, 11428 Stockholm, Sweden

Email：wangying96@amss.ac.cn

Yanlong Zhao

Key Laboratory of Systems and Control, AMSS, Chinese Academy of Sciences, Beijing 100190, China

School of Mathematics Sciences, University of Chinese Academy of Sciences, Beijing 100149, China.

Email：ylzhao@amss.ac.cn

Ji-Feng Zhang

School of Automation and Electrical Engineering, Zhongyuan University of Technology, Zhengzhou 450007, Henan, China

Key Laboratory of Systems and Control, AMSS, Chinese Academy of Sciences, Beijing 100190, China.

E-mail：jif@iss.ac.cn