Adaptive consensus of two-time-scale multi-agent systems

Abstract

This paper studies the distributed consensus problem of a new class of multi-agent systems, where each agent is represented by the two-time-scale system. Two fully distributed, ϵ-dependent adaptive consensus protocols are designed, namely, the relative states based adaptive protocol and the relative outputs based adaptive protocol. By using the merit of the proposed ϵ-Lyapunov function, some sufficient consensus criteria in terms of well-conditioned linear matrix inequalities are derived. The upper bound of ϵ is also determined. A numerical example for the drying section of a paper converting machine with nine rolls verifies the effectiveness of the proposed results.

Keywords:

• Consensus
• multi-agent systems
• two-time-scale feature
• fully distributed protocol
• adaptive control strategy

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Natural Science Foundation of China under Grants 61773172, 61572210, and 51537003, the Natural Science Foundation of Hubei Province of China (2017CFA035), the Fundamental Research Funds for the Central Universities (2018KFYYXJJ119) and the Program for HUST Academic Frontier Youth Team.