An on-line constraint softening strategy to guarantee the feasibility of dynamic controller in double-layered MPC

doi:10.1016/j.cjche.2017.06.010

Chin.J.Chem.Eng. ›› 2017, Vol. 25 ›› Issue (12): 1805-1811.DOI: 10.1016/j.cjche.2017.06.010

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An on-line constraint softening strategy to guarantee the feasibility of dynamic controller in double-layered MPC

Hongguang Pan¹, Weimin Zhong², Zaiying Wang¹

1. School of Electrical and Control Engineering, Xi'an University of Science and Technology, Xi'an 710071, China;
2. Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China

Received:2016-11-07 Revised:2017-03-22 Online:2018-01-18 Published:2017-12-28
Contact: Weimin Zhong,E-mail address:wmzhong@ecust.edu.cn.
Supported by:
Supported by National Natural Science Foundation of China (61603295, 61422303, 21376077), the Development Fund for Shanghai Talents (H200-2R-15111) and the Key Scientific and Technological Project of Shaanxi Province (2016GY-040).

An on-line constraint softening strategy to guarantee the feasibility of dynamic controller in double-layered MPC

Hongguang Pan¹, Weimin Zhong², Zaiying Wang¹

1. School of Electrical and Control Engineering, Xi'an University of Science and Technology, Xi'an 710071, China;
2. Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China

通讯作者: Weimin Zhong,E-mail address:wmzhong@ecust.edu.cn.
基金资助:
Supported by National Natural Science Foundation of China (61603295, 61422303, 21376077), the Development Fund for Shanghai Talents (H200-2R-15111) and the Key Scientific and Technological Project of Shaanxi Province (2016GY-040).

Abstract

Abstract: A double-layered model predictive control (MPC), which is composed of a steady-state target calculation (SSTC) layer and a dynamic control layer, is a prevailing hierarchical structure in industrial process control. Based on the reason analysis of the dynamic controller infeasibility, an on-line constraints softening strategy is given. At first, a series of regions of attraction (ROA) of the dynamic controller is calculated according to the softened constraints; then a minimal ROA containing the current state is chosen and the corresponding softened constraint is adopted by the dynamic controller. Note that, the above measures are performed on-line because the centers of the above ROA are the steady-state targets calculated at each instant. The effectiveness of the presented strategy is illustrated through two examples.

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Key words: Model predictive control, Steady-state target calculation, Dynamic control, Feasibility, Region of attraction

摘要： A double-layered model predictive control (MPC), which is composed of a steady-state target calculation (SSTC) layer and a dynamic control layer, is a prevailing hierarchical structure in industrial process control. Based on the reason analysis of the dynamic controller infeasibility, an on-line constraints softening strategy is given. At first, a series of regions of attraction (ROA) of the dynamic controller is calculated according to the softened constraints; then a minimal ROA containing the current state is chosen and the corresponding softened constraint is adopted by the dynamic controller. Note that, the above measures are performed on-line because the centers of the above ROA are the steady-state targets calculated at each instant. The effectiveness of the presented strategy is illustrated through two examples.

关键词: Model predictive control, Steady-state target calculation, Dynamic control, Feasibility, Region of attraction

Hongguang Pan, Weimin Zhong, Zaiying Wang. An on-line constraint softening strategy to guarantee the feasibility of dynamic controller in double-layered MPC[J]. Chin.J.Chem.Eng., 2017, 25(12): 1805-1811.

Hongguang Pan, Weimin Zhong, Zaiying Wang. An on-line constraint softening strategy to guarantee the feasibility of dynamic controller in double-layered MPC[J]. Chinese Journal of Chemical Engineering, 2017, 25(12): 1805-1811.

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An on-line constraint softening strategy to guarantee the feasibility of dynamic controller in double-layered MPC

An on-line constraint softening strategy to guarantee the feasibility of dynamic controller in double-layered MPC

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