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Performance comparison of optimal fractional order hybrid fuzzy PID controllers for handling oscillatory fractional order processes with dead time

机译:具有死区时间的振荡分数阶过程的最优分数阶混合模糊PID控制器性能比较

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Fuzzy logic based PID controllers have been studied in this paper, considering several combinations of hybrid controllers by grouping the proportional, integral and derivative actions with fuzzy inferencing in different forms. Fractional order (FO) rate of error signal and FO integral of control signal have been used in the design of a family of decomposed hybrid FO fuzzy PID controllers. The input and output scaling factors (SF) along with the integro-differential operators are tuned with real coded genetic algorithm (GA) to produce optimum closed loop performance by simultaneous consideration of the control loop error index and the control signal. Three different classes of fractional order oscillatory processes with various levels of relative dominance between time constant and time delay have been used to test the comparative merits of the proposed family of hybrid fractional order fuzzy PID controllers. Performance comparison of the different FO fuzzy PID controller structures has been done in terms of optimal set-point tracking, load disturbance rejection and minimal variation of manipulated variable or smaller actuator requirement etc In addition, multi-objective Non-dominated Sorting Genetic Algorithm (NSGA-II) has been used to study the Pareto optimal trade-offs between the set point tracking and control signal, and the set point tracking and load disturbance performance for each of the controller structure to handle the three different types of processes.
机译:本文研究了基于模糊逻辑的PID控制器,通过将比例,积分和微分作用与模糊推理组合成不同形式,考虑了混合控制器的几种组合。误差信号的分数阶(FO)率和控制信号的FO积分已用于设计一系列分解的FO FO模糊PID控制器。输入和输出缩放因子(SF)以及整数微分运算符与实数编码遗传算法(GA)一起调谐,可通过同时考虑控制环路误差指标和控制信号来产生最佳的闭环性能。在时间常数和时间延迟之间具有不同水平的相对优势的三种不同类别的分数阶振荡过程已用于测试所提出的混合分数阶模糊PID控制器系列的比较优点。在最佳设定点跟踪,负载扰动抑制和最小的操作变量变化或较小的执行器要求等方面,已经对不同的FO模糊PID控制器结构进行了性能比较。此外,多目标非支配排序遗传算法(NSGA) -II)已被用于研究设定点跟踪和控制信号以及设定点跟踪和负载扰动性能之间的帕累托最优权衡,以处理三种不同类型的过程。

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