中文摘要：

在这份报纸，为调节的 proportional-integrative-derivative (PID ) 的一个新分析和设计方法基于放大分析的控制器被建议。绝对错误(ITAE ) 索引为指定获得和阶段边缘(GPM ) 限制被最小化的时间的积分，以便短暂表演和坚韧性两个都满足。获得和阶段边缘上的要求被真实部分限制(RPC ) 和想象的部分限制(欧洲电脑生产厂商) 有才能地提出。新限制的这个集合简单地与留下的三个参数和去耦被联系四 unknowns 包括三个控制器参数和获得边缘，在非线性、联合的典型方程同时。最佳的 GPM-PID 的公式基于放大分析的控制器被导出。最后，这个方法比一些通常使用调节方法的 PID 的被用于焦炭分别塔的液体水平控制，它证明建议方法提供更好的骚乱拒绝和柔韧的追踪性能。

英文摘要：

In this paper, a new analysis and design method for proportional-integrative-derivative （PID） tuning is proposed based on controller scaling analysis. Integral of time absolute error （ITAE） index is minimized for specified gain and phase margins （GPM） constraints, so that the transient performance and robustness are both satisfied. The requirements on gain and phase margins are ingeniously formulated by real part constraints （RPC） and imaginary part constraints （IPC）. This set of new constraints is simply related with three parameters and decoupling of the remaining four unknowns, including three controller parameters and the gain margin, in the nonlinear and coupled characteristic equation simultaneously. The formulas of the optimal GPM-PID are derived based on controller scaling analysis. Finally, this method is applied to liquid level control of coke fractionation tower, which demonstrate that the proposed method provides better disturbance rejection and robust tracking performance than some commonly used PID tuning methods.