| 一种确定PID参数稳定域的图解法 |
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| 引用本文： | 王德进. 一种确定PID参数稳定域的图解法[J]. 控制与决策, 2007, 22(6): 663-666 |
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| 作者姓名： | 王德进 |
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| 作者单位： | 天津科技大学,电子信息与自动化学院,天津,300222 |
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| 摘 要： | 针对带滞后因子的一阶惯性环节的PID控制器，给出确定其参数稳定域的一种图解方法．基于参数空间的图解稳定性准则，在已知比例增益范围的前提下，针对稳定和不稳定开环对象，直接在积分-微分参数空间绘制和确定稳定区域，避免了复杂的数学计算．该图解稳定性准则给出闭环稳定的一个充分必要条件，所得结果没有任何保守性．此方法也可用来求解系统的相对稳定度问题和应用于其他任意给定被控对象．
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| 关 键 词： | PID控制器 图解稳定性准则 参数空间方法 一阶滞后系统 稳定域 相对稳定度 |
| 文章编号： | 1001-0920（2007）06-0663-04 |
| 收稿时间： | 2006-03-14 |
| 修稿时间： | 2006-03-142006-04-25 |
Graphical approach to determine stabilizing regions of PID parameters |
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| WANG De-jin. Graphical approach to determine stabilizing regions of PID parameters[J]. Control and Decision, 2007, 22(6): 663-666 |
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| Authors: | WANG De-jin |
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| Affiliation: | School of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China. |
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| Abstract: | A graphical approach to determine the stabilizing region of PID parameters is provided for first-order plant with dead-time. Based on a graphical stability criterion in parameter space, the range of proportional-gain is given. For both stable and unstable open-loop plants, the stabilizing region in integral derivative space is plotted and determined directly, not to be calculated mathematically. By using this graphical stability criterion, a necessary and sufficient condition for the closed-loop stability is given. The results have no any conservatism. The proposed method can be used to solve the problem of stability degree and applied to other arbitrary plants with dead-time. |
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| Keywords: | PID controller Graphical stability criterion Parameter space approach First-order plant with dead-time Stabilizing region Stability degree |
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