| PID控制作用下一阶时滞系统的鲁棒稳定性分析 |
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| 引用本文： | 欧林林,张卫东,顾诞英.PID控制作用下一阶时滞系统的鲁棒稳定性分析[J].上海交通大学学报,2006,40(11):1907-1911. |
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| 作者姓名： | 欧林林 张卫东 顾诞英 |
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| 作者单位： | 1. 浙江工业大学,信息工程学院,杭州,310032
2. 上海交通大学,自动化系,上海,200240 |
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| 基金项目： | 国家自然科学基金;上海市青年科技启明星计划 |
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| 摘 要： | 研究了PID控制作用下参数不确定一阶时滞系统的鲁棒稳定性问题.确定了一阶时滞系统能被PID控制器镇定的前提条件,利用双轨迹法的解析形式,给出了系统参数必须满足的几个稳定约束条件,证明了PID控制器对于一阶时滞系统的镇定始终是时滞相关的.依据所得到的稳定约束条件,通过具体的例子分别定量给出了3个对象参数中1个、2个和3个参数不确定3种情况下系统参数的鲁棒稳定域.
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| 关 键 词： | PID控制器 一阶时滞系统 鲁棒稳定 |
| 文章编号： | 1006-2467(2006)11-1907-05 |
| 收稿时间： | 2005-11-07 |
| 修稿时间： | 2005年11月7日 |
The Robustness Analysis of First-order Systems with Time Delay under PID Control |
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| OU Lin-lin,ZHANG Wei-dong,GU Dan-ying.The Robustness Analysis of First-order Systems with Time Delay under PID Control[J].Journal of Shanghai Jiaotong University,2006,40(11):1907-1911. |
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| Authors: | OU Lin-lin ZHANG Wei-dong GU Dan-ying |
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| Institution: | 1. College of Information Eng. , Zhejiang Univ. of Technology, Hangzhou 310032, China; 2. Dept. of Automation, Shanghai Jiaotong Univ. , Shanghai 200240, China |
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| Abstract: | The robustness problem of first-order time-delayed system with parametric uncertainty under PID control was studied.The preconditions under which first-order system with time delay can be stabilized using the PID controller was presented.Then,using the analytical form of the dual-locus diagram method,several stability limits of the system parameters were derived.Based on the obtained stability limits of the system parameters,the robust stability areas of the plant parameters were quantitatively determined in the three cases of one-parameter,two-parameter and three-parameter uncertainty via the numerical examples. |
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| Keywords: | PID controller first-order system with time delay robust stability |
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