A New Framework of Distributed Prescribed-Time Consensus Homogeneous Domination Control for Feedforward Multiagent Systems
针对前馈多智能体系统的预设时间全状态一致性问题，提出一种新框架，通过坐标变换和预设时间函数克服前馈非线性障碍，设计分布式控制器，使一致性误差在预设时间内达到平衡，并在液位控制谐振电路系统中验证。
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.