基于模糊规则的自适应分数阶PI~λ控制器的研究

Research on variable order fractional PI~λ controller based on fuzzy rules

为提高分数阶PI控制器的鲁棒性,实现更好的控制效果,本文提出一种基于模糊规则的自适应阶数分数阶PI~λ控制器,并对模糊规则和分数阶PI~λ控制器的设计过程进行了详细的阐述。最后,仿真研究了基于模糊规则的自适应分数阶控制器的三相PWM整流器电压外环响应特性。与传统的整数阶PI控制器、分数阶PI~λ控制器控制效果相比,自适应阶数分数阶模糊PI~λ控制器(VOFFPI)具有响应速度快,超调量小,对扰动具有较好的鲁棒性等优点。该方法可以有效的应用到含有非线性现象和多扰动输入的复杂控制系统中,提高系统的鲁棒性,达到更好的控制效果。

In this paper,a variable order fractional PI~λ controller based on fuzzy rules is presented to improve the robustness of fractional-order PI controller,with the design process of fuzzy rule and fractional order PIλcontroller described in detail.A study is conducted of the voltage outer loop response characteristics of three phase PWM rectifier based on fuzzy rule adaptive fractional order controller by simulation.Compared with the traditional integer order PI controller and the fractional order PI~λ,the adaptive order fuzzy PIλcontroller（VOFFPI）has the advantages of immediate response,small overshoot and good robustness to disturbances.The method can be effectively applied to the complex control system under the condition of nonlinear phenomenon and multi disturbance input,improving the robustness of the system and achieving a better control effect.