针对高精度交流调速系统,将分数阶微积分理论、内模控制、模糊控制和比例积分微分(proportional integral differential,PID)控制相结合,提出了一种模糊分数阶内模PI-νDa+ν控制器.首先,考虑到分数阶微积分的优良特性,将其引入交流调速系统的内模PID控制器中,得到了一种分数阶内模PI-νDa+ν控制器,该控制器包含 3 个可调参数.然后,通过阶跃响应分析了控制器参数对系统性能的影响,并根据分析结果设计了模糊控制器,实现了控制器参数的智能整定,克服了分数阶控制器参数整定困难的不足.实验结果表明,模糊分数阶内模PI-νDa+ν控制器可以使系统具有良好的动态响应、扰动抑制特性和克服参数摄动的鲁棒性.
Fuzzy Fractional Order Internal Model PID Control Method for Alternating-current Speed Regulation System
For alternating-current(AC)speed regulation system with high precision,a fuzzy fractional order internal model PI-νDa+ν controller is proposed by combining fractional order calculus theory,internal model control,fuzzy control and proportional integral differential(PID)control.Firstly,considering the excellent characteristics of fractional order calculus,it is introduced into the internal model PID controller of AC speed regulation system,and a fractional order internal model PI-νDa+ν controller is obtained.The controller contains three adjustable parameters.Then,the influence of controller parameters on system performance is analyzed through step response.Based on the analysis results,a fuzzy controller is designed,which realizes the intelligent tuning of controller parameters and overcomes the difficulty of fractional order controller parameter tuning.The experimental results show that the fuzzy fractional order internal model PI-νDa+ν controller could make the system have good dynamic response,disturbance suppression characteristics and robustness against parameter perturbations.
Fractional orderinternal model controlfuzzy controlAC speed regulation system