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多变量线性控制系统解耦与控制方法的仿真

Decoupling and Control Methods Simulation of Multivariable Linear System

【作者】 刘召娜

【导师】 于佐军;

【作者基本信息】 中国石油大学 , 控制科学与工程, 2010, 硕士

【摘要】 随着工业的发展,工业过程控制出现了大量的变量间相互影响的多变量控制系统,因此多变量系统的解耦设计具有举足轻重的作用。对于关联系统给出了判断耦合程度的方法—相对增益法和逆乃奎斯特列阵法。对于耦合严重,需要进行解耦设计的系统,分别介绍了复频域解耦法和时域解耦法的原理及解耦条件,并对相应的例子进行仿真实验分析。针对前馈补偿器解耦,提出了一种针对线性时不变多变量系统能否使用前馈补偿器解耦的判断方法。该判断方法是基于最小设计的思想,将最小设计问题应用到解耦问题,并通过应用该判断方法得到了前馈补偿器解耦的条件。对于没有必要完全解耦的复杂的高阶系统,介绍了对角优势化,使系统实现近似解耦。分析对多变量线性系统进行动态矩阵预测控制时的鲁棒性,抗干扰能力,及在保证解耦控制效果的前提下,预测控制参数可变化的范围。将前馈补偿解耦法、状态反馈解耦法和静态解耦法分别与动态矩阵预测控制器相结合,分别对解耦后的多变量线性系统进行仿真实验,分析其解耦后的鲁棒性,抗干扰能力,及在保证解耦控制效果的前提下,预测控制参数可变化的范围。通过分析仿真实例,开环预测解耦有较好的鲁棒性。

【Abstract】 With the development of the industry, the multivariable system in which lots of parameters interact appears in industrial process of control. Therefore, the design of decoupling for the multivariable system is most important in the process of control.For the interacted system, two methods are given in order to judge the coupling degree of the multivariable system, such as relative gain method and Inverse Nyquist Array method. For the strong coupling system which needs to be decoupled, this paper introduces the principle and conditions of complex frequency domain decoupling method and time domain decoupling method .And the corresponding examples are simulated and analyzed. For feed-forward compensator decoupling method, a judgment method is proposed. By using the method, we can know whether the feed-forward compensator decoupling method is appropriate to the multivariable linear system or not. The method is based on minimal design problems. The minimal design problem is applied to the decoupling problem. And the conditions of the feed-forward compensator decoupling are obtained from the method. For the complex high order system, diagonal dominance is introduced. Thus, the high order system achieves approximate decoupling.The robustness, anti-interference ability and ranges of predictive control parameters to ensure the decoupling control performance of the multivariable linear system are analyzed when the dynamic matrix predictive controller is designed for the system. Feed-forward compensation decoupling method, state feedback decoupling method and static decoupling method are combined with dynamic matrix predictive controller. Simulations of decoupled multivariable linear system are given. Analysis of the robustness, anti-interference ability and ranges of predictive control parameters to ensure the decoupling control performance of the decoupled system are also given. Open-loop predictive decoupling has better robustness from analyzing the simulation experiment.

  • 【分类号】TP273
  • 【被引频次】6
  • 【下载频次】591
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