Liang Hongjing, Zhang Yanhui, Huang Tingwen, Ma Hui
IEEE Trans Cybern. 2020 May;50(5):1810-1819. doi: 10.1109/TCYB.2019.2893645. Epub 2019 Jan 31.
This paper studies the quantized cooperative control problem for multiagent systems with unknown gains in the prescribed performance. Different from the finite-time control, a speed function is designed to realize that the tracking errors converge to a prescribed compact set in a given finite time for multiagent systems. Meanwhile, we consider the problem of unknown gains and input quantization, which can be addressed by using a lemma and Nussbaum function in cooperative control. Moreover, the fuzzy logic systems are proposed to approximate the nonlinear function defined on a compact set. A distributed controller and adaptive laws are constructed based on the Lyapunov stability theory and backstepping method. Finally, the effectiveness of the proposed approach is illustrated by some numerical simulation results.
本文研究了具有规定性能的未知增益多智能体系统的量化协同控制问题。与有限时间控制不同,设计了一个速度函数,以实现多智能体系统在给定有限时间内跟踪误差收敛到规定的紧致集。同时,考虑未知增益和输入量化问题,通过在协同控制中使用一个引理和Nussbaum函数来解决。此外,提出了模糊逻辑系统来逼近定义在紧致集上的非线性函数。基于Lyapunov稳定性理论和反步法构造了分布式控制器和自适应律。最后,通过一些数值仿真结果说明了所提方法的有效性。