Leader-following consensus of nonlinear discrete-time multi-agent systems with limited bandwidth and switching topologies

Jia Wu; Huaqing Li; Qi Han; Zheng Wang

doi:10.1016/j.isatra.2019.10.002

Leader-following consensus of nonlinear discrete-time multi-agent systems with limited bandwidth and switching topologies

ISA Trans. 2020 Apr:99:139-147. doi: 10.1016/j.isatra.2019.10.002. Epub 2019 Oct 18.

Authors

Jia Wu¹, Huaqing Li², Qi Han³, Zheng Wang⁴

Affiliations

¹ School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 610000, PR China.
² Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR China. Electronic address: huaqingli@hotmail.com.
³ School of Intelligent Technology and Engineering, Chongqing University of Science & Technology, Chongqing 401331, PR China.
⁴ Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR China.

PMID: 31676033
DOI: 10.1016/j.isatra.2019.10.002

Abstract

This paper considers the leader-following consensus problem of discrete-time nonlinear multi-agent systems over switching topologies with limited bandwidth. Through the encoding-decoding data, we design a distributed feedback control protocol which is closely associated with the connectivity of relevant channel at each time step. An adaptive communication mechanism is presented to ensure fewer bits of information transmission at each time step under the premise that the quantizer for encoding and decoding is not saturated. Although the nonlinear model over switching topologies introduces a cumulative error with respect to consensus error at previous time steps, the convergence rate of the system can be characterized. Through a rigorous convergence analysis, we illustrate that if the jointly connected condition of communication networks is satisfied, consensus issues will be resolved. A numerical simulation example shows that based on the designed distributed control law, all states of the follower agents are ultimately the same as the leader's state.

Keywords: Leader-following consensus; Limited bandwidth; Nonlinear multi-agent systems; Switching topologies.