Distributed L₂-gain control of large-scale systems under gossip communication protocol

Abstract

This paper studies the distributed controller design problem for linear discrete-time large-scale systems under gossip communication protocol. In this communication protocol, each sub-controller transmits the subsystem's state information to only one randomly chosen neighbour at transmission instants. Distributed controllers are designed such that the closed-loop system is exponentially mean-square stable and that the prescribed $L_2$-gain performance is satisfied in the mean-square sense. The design condition is obtained based on Lyapunov stability theory and given in terms of linear matrix inequalities. Finally, two numerical examples are presented to illustrate the advantages of the proposed scheme.

Keywords:

• Distributed control
• gossip communication protocol
• large-scale systems
• $L_2$-gain

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work in this paper was financially supported by National Natural Science Foundation of China [grant number 61773357].