| 基于多模型切换策略的精馏塔最优控制 |
| 王振雷1, 陈登乾1, 王昕2 |
| 1. 华东理工大学 化工过程先进控制和优化技术教育部重点实验室, 上海 200237; 2. 上海交通大学 电工与电子技术中心, 上海 200240 |
| Optimal control of distillation columns based on a multiple model switching strategy |
| WANG Zhenlei1, CHEN Dengqian1, WANG Xin2 |
| 1. Key Laboratory of Advanced Control and Optimization for Chemical Processes, East China University of Science and Technology, Shanghai 200237, China; 2. Center of Electrical & Electronic Technology, Shanghai Jiao Tong University, Shanghai 200240, China |
摘要:
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| 摘要为了解决由于精馏塔具有非线性、随机干扰量大等特点导致的模型参数发生变化带来的控制问题,该文提出了将多模型切换控制方法和线性二次型调节器(LQR)优化方法相结合的控制策略。该方法结合了这2种方法的优势。首先对变化区间进行分解;然后建立子模型,形成模型集。接着采用LQR优化方法对子模型设计优控制器,再根据性能指标函数切换控制器,保证在任一时刻,系统都得到最优控制律;最后将该文提出的新方法与单独LQR优化方法进行比较。对比结果表明:当模型参数Par=20跳变到Par=19.5的时候,精馏塔塔顶和塔底轻组分的摩尔分数仍然能够稳定。 | |||
| 关键词 ：精馏塔,参数变化,线性二次型调节器(LQR),多模型切换 | |||
| Abstract：Distillation columns have many features such as their nonlinear control equations and many random disturbances, which contribute to parameter variations in the mathematical model. This paper describes a method that combines multi-model switching control with the linear quadratic regulator (LQR) optimal method to solve the control problems that result from the parameter variation. The method combines the advantages of both methods. The parameter interval is first decomposed into sub-intervals with sub-models then built and combined into a model set. A sub-optimal controller is then designed using the LQR method and the controllers are switched to get the optimal controller based on the performance index function. Comparison of this method with the single LQR optimization method shows that with this method, the output concentrations at the top and the bottom of the distillation column remain stable when parameter Par jumps from 20 to 19.5. | |||
| Key words：distillation columnparametric variationlinear quadratic regulator (LQR)multi-model switching | |||
| 收稿日期: 2015-07-08 出版日期: 2016-05-09 | |||
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| 引用本文: |
| 王振雷, 陈登乾, 王昕. 基于多模型切换策略的精馏塔最优控制[J]. 清华大学学报（自然科学版）, 2016, 56(4): 430-436. WANG Zhenlei, CHEN Dengqian, WANG Xin. Optimal control of distillation columns based on a multiple model switching strategy. Journal of Tsinghua University(Science and Technology), 2016, 56(4): 430-436. |
| 链接本文: |
| http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2016.24.015或 http://jst.tsinghuajournals.com/CN/Y2016/V56/I4/430 |
图表:
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| 图１ 精馏塔接结构图 |
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| 图２ 多模型切换控制方块图 |
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| 图３ 精馏塔塔顶轻组分摩尔分数动态变化趋势 |
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| 图４ 精馏塔塔底轻组分摩尔分数动态变化趋势 |
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| 图５ 切换次序 |
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| 图６ 精馏塔塔顶轻组分摩尔分数动态变化趋势 |
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| 图７ 精馏塔塔底轻组分摩尔分数动态变化趋势 |
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