Multi-objective optimization of PI controller parameters under robustness constraint and its application

doi:10.3969/j.issn.1674-1951.2021.05.001

Abstract

Abstract:

Though a proportional-integral （PI） controller is of simple structure and good operability,its parameters can barely satisfy the control on the controller. To improve its operation quality, a multi-objective optimization method for PI controller parameters under robustness constraint is proposed. Taking maximum sensitivity function as the robustness constraint index and setting the tracking performance and anti-interference as optimization objectives simultaneously, the method can get Pareto optimal solution satisfying the robustness constraint after optimizing PI controller parameters in their stable regions by multi-objective algorithm. Then, the parameters are optimized by level diagrams. PI controller parameters of No.3 high-pressure heater of a power plant in Weifang, Shandong Province were optimized by this method. The test results show that,taking the proposed method,the fluctuation of high-pressure heater water level is about 61.89% of the original one only, which indicates the promising application prospect of this method on industrial site.

Key words: PI controller, robustness constraint, maximum sensitivity function, multi-objective genetic algorithm, stability region, high pressure heater

CLC Number:

TP13：TM621：TK264.9

JING Likun, TANG Yiqiang, PAN Fengping, WU Zhenlong. Multi-objective optimization of PI controller parameters under robustness constraint and its application[J]. Huadian Technology, 2021, 43(5): 1-8.

Figures/Tables 19

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Tab.1

Performance indexes of the nominal system

控制器参数	$J sp$	$J id$
现场参数	154.26	154.26
优化参数	21.25	8.14
SIMC	23.26	8.98
MIGO	20.52	59.12

Tab.1

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项目	现场参数	优化参数
最大正偏差/mm	4.19	2.26
最大负偏差/mm	3.63	2.58
绝对偏差均值	0.92	0.44
方差	1.41	0.31