基于Bode's integrals的PID控制器的设计及其仿真

该文为一类稳定的最小相位控制对象提出一种新的PID控制器的参数整定方法。它是基于Bode’s integrals可以给出最小相位稳定系统的幅值与相位的关系，从而运用bode’s integrals近似表示控制对象G（jw）的幅值和相位的微分，然后将该简化结果用于PID控制器的设计中，从而得到新的控制器参数整定方法。该文中PID控制器的设计要求是，调整控制对象的Nyquist曲线在给定频率处的斜率，以提高闭环系统性能。最后，通过在matlab中对一类稳定的最小相位系统的计算机仿真例子比较，可以显示出该方法的优越性。

PID Controller's Design and Simulation Based on Bode's Integrals

A new tuning method for PID controller design is proposed as a class of stable and minimum phase plants. It is based on that the Bode's integrals show the relation between the phase and the amplitude of minimum phase stable system. It is shown that the derivatives of amplitude and phase of a plant model with respect to frequency can be approximated by Bode' s integrals. This simple information can be used to design PID controllers and a new method for controller tuning is obtained. The design objective of a PID controller is to adjust the slope of Nyquist diagram of the plant at a given frequency and to improve the closed - loop performance. Finally, simulation examples and comparisons based on matlab illustrate the superiority of the proposed method for designing the PID controllers.