Full-State Prescribed Performance-Based Consensus of Double-Integrator Multi-Agent Systems with Jointly Connected Topologies

Abstract

This paper addresses the full-state prescribed performance-based consensus problem for double-integrator multi-agent systems with jointly connected topologies. To improve the transient performance, a distributed prescribed performance control protocol consisting of the transformed relative position and the transformed relative velocity is proposed, where the communication topology satisfies the jointly connected assumption. Different from the existing literatures, two independent transient performance specifications imposed on relative positions and relative velocities can be guaranteed simultaneously. A numerical example is ultimately used to validate the effectiveness of proposed protocol.