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Finite-Time H∞ Analysis and Application on the Design of Sliding Mode and Consensus Protocol of Multi-Agent Systems

This paper focuses on the finite-time H∞ property and its applications on the finite-time sliding mode and consensus of linear multi-agent systems. Finite-time H∞ property this paper concerns means that the closed-loop system can achieve convergence or consensus in finite time without disturbance, and on the other hand, satisfy H∞ property with bounded disturbance. Through the linear matrix inequality (LMI) method, the H∞ property in the framework of finite-time sliding mode with bounded disturbance is satisfied. What is more, the protocol is proposed to achieve finite-time H∞ consensus for linear multi-agent systems with undirected networks, subject to bounded disturbance. The simulation result also shows the satisfactory performance.