The standard backstepping control scheme has inherently computational complexity explosion problem, and consequently, becomes prohibitive as the order increases. This paper contributes to command filtered adaptive fuzzy control (AFC) of fractional-order nonlinear systems (FNSs) by using fractional backstepping control method. To approximate the virtual input, a fractional-order command filter (FCF) is proposed. Filtering approximation errors that affect the performance of the controller during the filtering process are solved by an error compensation mechanism (ECM). The simulation results verify the validity of the theoretical results.

中文翻译：

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分数阶非线性系统的指令滤波自适应模糊控制

标准的反推控制方案具有固有的计算复杂性爆炸问题，因此随着阶数的增加变得令人望而却步。本文利用分数阶反推控制方法对分数阶非线性系统（FNSs）的指令滤波自适应模糊控制（AFC）做出了贡献。为了逼近虚拟输入，提出了分数阶命令滤波器（FCF）。在滤波过程中影响控制器性能的滤波近似误差通过误差补偿机制（ECM）来解决。仿真结果验证了理论结果的有效性。