一种基于主导极点和相角裕度的PID参数整定方法  

PID Tuning Method Based on Dominant Poles and Phase Margin

作　　者：汤伟[1] 王樨[2] 王孟效[3] 

机构地区：[1]陕西科技大学造纸工程学院,陕西咸阳712081 [2]陕西科技大学管理学院,陕西咸阳712081 [3]陕西科技大学电气与电子工程学院,陕西咸阳712081

出　　处：《化工自动化及仪表》2006年第6期55-58,共4页Control and Instruments in Chemical Industry

基　　金：陕西省教育厅专项科研计划研究基金资助项目(04JK237);陕西科技大学科研团队建设基金资助项目(20050601)

摘　　要：提出一种基于主导极点和相角裕度二性能指标的简单有效的PID参数整定方法。在将诸如调整时间、超调量等时域性能指标转化成一对主导极点之后,采用主导极点配置方法,并与相角裕度相结合,来整定PID参数。为了获得能同时满足时域性能指标和相角裕度性能指标的被控对象准确的转折角频率,采用了一种简单易行的图解方法。该方法巧妙地将求解一组耦合非线性方程的问题转化为寻找采用受控对象频率响应信息来绘制的两条曲线的交点问题。本PID参数整定方法与受控对象的阶次、时滞大小和振荡性质无关,因此适用范围比较广泛。A simple PID tuning method based on dominant pole placement and phase margin specification is proposed. After transforming such time domain specifications as the settling time, the overshoot, etc, into a pair of dominant poles, the dominant pole placement method combined with phase margin specification is then employed for a PID tuning. A graphical method is applied to obtain the exact gain crossover frequency at which the time domain and phase margin specifications are satisfied, simultaneously. The method transforms the problem of solving a set of nonlinear coupled equations into finding the intersection point of two graphs plotted using the frequency response information of the process. The proposed method in this paper is regardless of the process order, time delay or damping nature and thus is of wide range of applications.

关 键 词：PID控制器 主导极点配置 相角裕度 图解法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]