Consensus of Discrete-Time Multiagent Systems With Transient Performance Constraints

This note investigates the consensus of discrete-time multi-agent systems, where the consensus error between neighboring agents is subject to transient performance constraints. The examination of transient performance constraints holds paramount importance in ensuring the secure and optimal functioning of real systems. Nevertheless, the existing body of research pertaining to constraints has predominantly focused on continuous-time systems, with limited attention given to discrete-time systems. To address this gap, we propose a novel transformation method capable of converting the consensus error constraint into an input constraint, leading to the development of an effective controller. Consequently, we successfully solve the consensus problem for discrete-time multi-agent systems with transient consensus error constraints, marking the first instance of its accomplishment.