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首页> 外文期刊>Arabian Journal for Science and Engineering >A New Method to Tune a Fractional-Order PID Controller for a Twin Rotor Aerodynamic System
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A New Method to Tune a Fractional-Order PID Controller for a Twin Rotor Aerodynamic System

机译：一种调整双转子气动系统分数阶PID控制器的新方法

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摘要

This paper proposes a new method to tune a fractional-order Proportional-Integral-Derivative controller (also called ) for a Twin Rotor Aerodynamic System, which is a nonlinear highly coupled Multi-Input-Multi-Output system. The five parameters of the controller are tuned using optimization to minimize a performance index which is a weighted sum of absolute values of four frequency domain specifications: gain crossover frequency, phase margin, ISO damping property (to be robust against process gain variation), and magnitude peak value at the resonant frequency, where the latter is the new control design specification that is suggested by this paper. The performance of the proposed controller is compared with that of an integer-order Proportional-Integral-Derivative (PID) controller. Simulation results shows that the fractional-order controller outperforms its integer-order counterpart in minimizing the performance index, which results in satisfying the required design specification more accurately. This is demonstrated by first testing the performance of the of the closed-loop system where the fractional-order controller gives better performance than the integer-order controller and second by testing the robustness of the system by changing one of the process parameters, where the fractional-order controller is much more robust, unlike the integer-order controller where the closed-loop system becomes unstable.
机译：本文提出了一种用于调整双转子气动系统分数阶比例积分微分控制器（也称为）的新方法，该系统是非线性高耦合多输入多输出系统。控制器的五个参数使用优化进行了优化，以最小化性能指标，该指标是四个频域规格的绝对值的加权总和：增益交叉频率，相位裕度，ISO阻尼特性（对过程增益变化具有鲁棒性），以及共振频率处的最大峰值，其中后者是本文提出的新的控制设计规范。将拟议控制器的性能与整数阶比例积分微分（PID）控制器的性能进行比较。仿真结果表明，分数阶控制器在使性能指标最小化方面优于整数阶控制器，从而可以更准确地满足所需的设计规格。首先通过测试闭环系统的性能来证明这一点，其中分数阶控制器的性能要优于整数阶控制器，其次是通过更改过程参数之一来测试系统的鲁棒性，其中分数阶控制器的鲁棒性要强于整数阶控制器，后者的闭环系统变得不稳定。

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