Ultra-fast tracking control of high-order discrete-time multi-agent systems with H∞ performance specification

This paper focuses on the ultra-fast tracking control for high-order discrete-time multi-agent systems with H_∞ performance specification. Under an undirected graph, it is certified that the ultra-fast tracking control problem of multi-agent system with a certain H_∞ performance specification is equivalent to ultra-fast tracking control problems of N subsystems with decomposed H_∞ performance specifications. Moreover, a novel control protocol with the predictive information is proposed to solve the ultra-fast tracking control problems for the above subsystems. Some sufficient conditions for ultra-fast tracking control design are given herein. A simulation is performed to illustrate the effectiveness of the theoretical results.