Distributed H∞ Mean-square Finite-time Control for Large-scale Systems under Gossip Communication Protocol

This paper considers the design of distributed H-infinity mean-square finite-time controllers for large-scale systems under gossip communication protocol. In such protocol, each sub-controller receives the state information from one randomly chosen neighbor at each time instant. Based on Lyapunov stability theory, sufficient conditions are established such that the considered system is mean-square finite-time bounded and that the prescribed H-infinity performance is satisfied. Distributed controller gains can be obtained by solving a set of linear matrix inequalities efficiently. Finally, a numerical example is presented to illustrate the proposed results in this paper.