Distributed Robust Fixed-Time Consensus for Nonlinear and Disturbed Multiagent Systems
研究了受扰非线性多智能体系统在加权无向拓扑下的鲁棒固定时间一致性问题，提出了非线性控制协议，保证在固定时间内达成一致且不受初始条件影响，并对有界扰动具有鲁棒性。
In this paper, the robust fixed-time consensus problem for multiagent systems with nonlinear dynamics and uncertain disturbances under a weighted undirected topology is investigated. Some nonlinear control protocols are proposed under which fixed-time consensus in the considered multiagent systems can be ensured. Compared with the initial-condition based finite-time consensus, it is theoretically shown that any prescribed convergence time for the achievement of consensus can be guaranteed within fixed time regardless of the initial conditions. Furthermore, the achievement of consensus is shown to be robust against bounded uncertain disturbances affecting the agents. Finally, some numerical examples are provided to illustrate the performance and effectiveness of the theoretical results.