| 引用本文: | 张艺铨， 秦化淑 ，王源.受约束的LQ问题与维尼纶絲液温度控制[J].控制理论与应用,1985,2(4):53~63.[点击复制] |
| Zhang Yiquan，Qin Huashu, Wang Yuan.ON THE CONSTRAINED LQ PROBLEM AND THE TEMPERATURE CONTROL OF VINYLON SOLUTION[J].Control Theory and Technology,1985,2(4):53~63.[点击复制] |
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| 受约束的LQ问题与维尼纶絲液温度控制 |
| ON THE CONSTRAINED LQ PROBLEM AND THE TEMPERATURE CONTROL OF VINYLON SOLUTION |
| 摘要点击 828 全文点击 439 投稿时间：1984-04-21 修订日期：1985-03-01 |
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| DOI编号 |
| 1985,2(4):53-63 |
| 中文关键词 |
| 英文关键词 |
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| 中文摘要 |
| 文中考察受约束的线性二次最优控制问题，给出该问题可解的充分必要条件以及最有综合函数的分析形式。文中还给出最优闭环为全局渐近稳定的充分条件。文中给出的例子说明，最优闭环系统不一定是全局渐近稳定。本文的结果为某工厂的维尼纶丝液温度控制的原理方案提供了合理的、满意的解释。并为实际温控系统的快速性能、抗干扰性能、无超调及无振荡性质等等提供了理论依据。 |
| 英文摘要 |
| This paper deals with a constrained LQ problem and gives the sufficient and necessary condition for its solubility. The form of the optimal synthesis function is presented. Also, the sufficient condition for the optimal closed-loop system to be globally asymptotically stable is given. The results haves been satisfactorily applied to control the temperature of vinylon solution in a vinylon fibre mill,achieving the given temperature of vinylon solution rapidly without overshoot and oscillation. |
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