Nonlinear Hammerstein model predictive control strategy and its application to pH neutralization process

ZOU Zhiyun; GOU Yuqing; WANG Zhizhen; LIU Xinghong; YU Meng; ZHANG Fengbo; GUO Ning

doi:10.3969/j.issn.0438-1157.2012.12.032

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Nonlinear Hammerstein model predictive control strategy and its application to pH neutralization process

更新时间：2025-12-10

- Nonlinear Hammerstein model predictive control strategy and its application to pH neutralization process
- CIESC Journal Issue 12, Pages: 3965-3970(2012)
- 作者机构：
  
  防化研究院,北京,102205
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0438-1157.2012.12.032
  CLC： P273
- Online First：29 August 2012，
  
  Published：29 August 2012
- 稿件说明：
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ZOU Zhiyun, GOU Yuqing, WANG Zhizhen, et al. Nonlinear Hammerstein model predictive control strategy and its application to pH neutralization process[J]. CIESC Journal, 2012, (12): 3965-3970.
DOI：

ZOU Zhiyun, GOU Yuqing, WANG Zhizhen, et al. Nonlinear Hammerstein model predictive control strategy and its application to pH neutralization process[J]. CIESC Journal, 2012, (12): 3965-3970. DOI： 10.3969/j.issn.0438-1157.2012.12.032.

摘要

所有实际工业过程都包含一定程度的非线性

如pH中和过程由于其本身的强非线性是工业过程控制中具有挑战性的难题

但至今为止仍缺乏有效的非线性控制方法。将基于差分方程模型的模型预测控制策略(model predictive control

MPC)推广到包含一个静态非线性多项式函数和一个线性差分方程动态环节的非线性Hammerstein系统

详细描述了基于静态非线性多项式函数的最优控制作用求解方法

提出了一套新的非线性Hammerstein MPC 控制策略(nonlinear Hammerstein predictive control

NLHPC)。pH中和过程控制仿真和控制实验表明

NLHPC的控制结果好于工业上常用的非线性 PID(nonlinear PID

NL-PID)控制器。

Abstract

Industrial processes usually contain complex nonlinearities.For example

the control of pH neutralization processes is a challenging problem in the chemical process industry because of their inherent strong nonlinearity.In this paper

the model predictive control(MPC)strategy is extended to a nonlinear process using Hammerstein model that consists of a static nonlinear polynomial function followed in series by a linear difference equation dynamic element.The calculation strategy of optimal control output based on the static nonlinear polynomial function of the Hammerstein model is presented in detail.Thus a new nonlinear Hammerstein predictive control strategy(NLHPC)is developed.Simulation and control experiments of a pH neutralization process show that NLHPC gives better control performance than the commonly used industrial nonlinear PID(NL-PID)controller.

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