Model predictive control with input feedback and its controllability for unsymmetrical systems

doi:10.3969/j.issn.0438-1157.2012.z2.020

CIESC Journal ›› 2012, Vol. 63 ›› Issue (S2): 106-111.DOI: 10.3969/j.issn.0438-1157.2012.z2.020

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Model predictive control with input feedback and its controllability for unsymmetrical systems

FENG Aixiang, WEI Minghui, LUO Xionglin

Research Institute of Automation, China University of Petroleum, Beijing 102249, China

Received:2012-06-26 Revised:2012-10-10 Online:2012-12-28 Published:2012-12-28
Supported by:
supported by the National Natural Science Foundation of China(21006127,20976193).

不对称系统输入反馈预测控制及可控性分析

冯爱祥, 韦明辉, 罗雄麟

中国石油大学自动化研究所, 北京 102249

通讯作者: 罗雄麟
作者简介:冯爱祥(1974-),女,讲师,博士研究生。
基金资助:
国家自然科学基金项目(21006127,20976193)。

Abstract

Abstract: Model predictive control for nonlinear unsymmetrical system which exhibits gains and/or dynamics depending on the input or output direction has been studied.Theoretical results for these systems especially for its control aspects are very limited compared with their common occurrence in industry.Due to the differences between the positive/negative model predictive control structure for asymmetric system and the traditional predictive control structure,there may be model mismatch which would lead to bad control effect.In order to handle this problem,input feedback control algorithm is used to revise the positive/negative model predictive controller.The actual control action that applied to the object is joined into the calculation of the next step control law of the positive/negative controllers through the feedback form in order to eliminate the effect.Then the controllability of the positive/negative model predictive control system is analyzed in the unconstrained condition.Ultimately the control performance between the revised positive/negative model predictive control and the traditional positive/negative model predictive control was compared through the simulation of pH control.

Key words: nonlinear unsymmetrical systems, predictive control, input feedback, analysis of controllability, pH control

摘要： 研究了生产过程中一类特殊的非线性系统,不对称系统的预测控制方法。在正反方向的控制作用下,这类系统表现出不对称动态特性。此类系统的理论研究特别是控制方法研究十分有限。针对基于正反方向上的线性模型设计的正反模型预测控制方法与传统预测控制方法在结构上的差异进行了分析,说明了由于这种结构上的差异可能导致的模型失配及控制效果不佳,然后采用输入反馈方法对不对称系统正反模型预测控制方法进行了修正,将实际施加给对象的控制作用通过反馈形式纳入到下一步正反方向控制律的求解中。并且在无约束的条件下分析了正反模型预测控制方法的可控性。最后通过pH值控制的仿真实验验证了此两种不对称系统正反模型预测控制方法的控制效果。

关键词: 非线性不对称系统, 预测控制, 输入反馈, 可控性分析, pH值控制

CLC Number:

TP273

FENG Aixiang, WEI Minghui, LUO Xionglin. Model predictive control with input feedback and its controllability for unsymmetrical systems[J]. CIESC Journal, 2012, 63(S2): 106-111.

冯爱祥, 韦明辉, 罗雄麟. 不对称系统输入反馈预测控制及可控性分析[J]. 化工学报, 2012, 63(S2): 106-111.

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Model predictive control with input feedback and its controllability for unsymmetrical systems

不对称系统输入反馈预测控制及可控性分析

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