A New Framework of Distributed Prescribed-Time Consensus Homogeneous Domination Control for Feedforward Multiagent Systems

This article focuses on the prescribed-time full-state consensus control of feedforward multiagent systems (MASs), and a new framework and analysis are presented. First, to deal with the obstacle arising from inherent feedforward nonlinearity, a crucial aspect of the design is to creatively construct the coordinate transformation at each step and the prescribed-time function as a scaling factor. Subsequently, a novel prescribed-time homogeneous domination framework for feedforward MASs is developed. The significant advantage is that this framework combines the low complexity of homogeneous domination control method design with the simplicity of stability analysis for state-scale schemes. Then, based on the recursive techniques, a distributed prescribed-time full-state consensus controller is designed, which drives the consensus errors to reach equilibrium at any prescribed time and ensures the stability of the entire time interval. Finally, the proposed algorithm is validated through the liquid-level control resonant circuit (LLCRC) system.