Bi Wenshan, Wang Tong, Yu Xinghu
IEEE Trans Cybern. 2022 Sep;52(9):8887-8896. doi: 10.1109/TCYB.2021.3061136. Epub 2022 Aug 18.
This article investigates the adaptive fuzzy control algorithm for a class of large-scale switched fractional-order nonlinear nonstrict feedback systems. In this algorithm, we utilize fuzzy-logic systems (FLSs) to approximate the complicated unknown nonlinear functions. Based on the fractional Lyapunov stability rules, a virtual control law is presented. A fuzzy adaptive decentralized control method is developed under the technique of the Lyapunov function. Under the operation of the proposed algorithm, the stability of the proposed systems and the control performance can be guaranteed. Finally, simulation results are presented to illustrate the feasibility and effectiveness of the proposed method.
本文研究了一类大规模切换分数阶非线性非严格反馈系统的自适应模糊控制算法。在该算法中,我们利用模糊逻辑系统(FLSs)来逼近复杂的未知非线性函数。基于分数阶李雅普诺夫稳定性准则,提出了一种虚拟控制律。在李雅普诺夫函数技术下,开发了一种模糊自适应分散控制方法。在所提出算法的运行下,可以保证所提系统的稳定性和控制性能。最后,给出了仿真结果以说明所提方法的可行性和有效性。