Zhao Meng, Gu Chan, Zhao Le, Liu Yungang
School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi'an 720021, China.
School of Control Science and Engineering, Shandong University, Jinan 250100, China.
Entropy (Basel). 2022 Aug 15;24(8):1130. doi: 10.3390/e24081130.
This paper researches the fixed-time leader-following consensus problem for nonlinear multi-agent systems (MASs) affected by unknown disturbances under the jointly connected graph. In order to achieve control goal, this paper designs a fixed-time consensus protocol, which can offset the unknown disturbances and the nonlinear item under the jointly connected graph, simultaneously. In this paper, the states of multiple followers can converge to the state of the leader within a fixed time regardless of the initial conditions rather than just converging to a small neighborhood near the leader state. Finally, a simulation example is given to illustrate the theoretical result.
本文研究了联合连通图下受未知干扰影响的非线性多智能体系统(MASs)的固定时间领导者-跟随者一致性问题。为了实现控制目标,本文设计了一种固定时间一致性协议,该协议能够在联合连通图下同时抵消未知干扰和非线性项。本文中,多个跟随者的状态能够在固定时间内收敛到领导者的状态,而与初始条件无关,而非仅仅收敛到领导者状态附近的一个小邻域内。最后,给出了一个仿真例子来说明理论结果。