An Improved Analytical PID Controller Design for Non-Monotonic Phase LTI Systems
An Improved Analytical PID Controller Design for Non-Monotonic Phase LTI Systems
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DOI：
10.1109/tcst.2011.2163636
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发表时间：
2012-09
影响因子：
4.8
通讯作者：
C. F. D. Paula;Luís H. C. Ferreira
中科院分区：
文献类型：
--
作者：
C. F. D. Paula;Luís H. C. Ferreira
针对非单调递减相位系统，提出了一种利用增益、交叉频率和相位裕度指标进行频域解析设计比例积分导数控制器的改进方法。该方法保证了期望带宽内的最小相位裕度，保证了闭环系统对阶跃响应的较好性能。为了实现这一特征，当不受控制的过程在带宽内呈现非单调递减相位时，有必要重新定义相位裕度的概念。因此，相位裕度仍然可以作为一个良好的鲁棒性指标，并允许Bode稳定性判据用于单调最小相位或非单调最小相位系统。
An improved technique of analytical design of proportional-integral-derivative (PID) controllers in frequency-domain for non-monotonically decreasing phase systems by means of gain crossover frequency and phase margin specifications is presented in this brief. The proposed method guarantees a minimum phase margin inside the desired bandwidth, assuring better performance to step response for the closed-loop system. In order to achieve this feature, it is necessary to redefine the concept of phase margin when the uncontrolled process presents a non-monotonically decreasing phase inside the bandwidth. Hence, the phase margin can still be used as a good robustness indicator and allows the Bode stability criterion to be used for monotonic minimum-phase or non-monotonic minimum-phase systems.