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Design of Self-tuning Smith Predictor with Feedback Filter and Application in Cross Direction Basis Weight Control of Paper Machine
Received:July 21, 2022  
DOI:10.11980/j.issn.0254-508X.2023.02.014
Key Words:cross direction basis weight of paper  non-square high-dimensional matrix  large delay process  Smith predictor
Fund Project:国家自然科学基金项目(62073206)。
Author NameAffiliationPostcode
TANG Wei School of Electrical and Control Engineering Shaanxi University of Science & Technology Xi’anShaanxi Province 710021 710021
ZHANG Xu* School of Electrical and Control Engineering Shaanxi University of Science & Technology Xi’anShaanxi Province 710021 710021
LIU Wenbo School of Electrical and Control Engineering Shaanxi University of Science & Technology Xi’anShaanxi Province 710021 710021
XU Dahai School of Electrical and Control Engineering Shaanxi University of Science & Technology Xi’anShaanxi Province 710021 710021
WANG Jie School of Electrical and Control Engineering Shaanxi University of Science & Technology Xi’anShaanxi Province 710021 710021
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Abstract:Aiming at the strong coupling and large time delay characteristics of the cross direction basis weight control, the paper proposed a Smith predictor plus fuzzy self-tuning PID composite control strategy. The "area converted to point" method was adopted and introduced the pre-matrix to reduce the dimension of the non-square system, and then took the inverse matrix of the correlation matrix of the system after the dimension reduction as a decoupler to transform the system into multiple single loops with the same number of dilution water valves. A self-tuning Smith predictor control strategy with a feedback filter was designed for its large time-delay characteristics. Its main controller adopted Fuzzy-PID controller. The existence of feedback loop filter reduced the sensitivity of the system to model mismatch errors and further enhanced the robustness of the system under the condition of model mismatch. Finally, the feasibility and effectiveness of the scheme proposed in this paper were shown by the simulation test combined with the actual application case, and the difference indicators of cross direction basis weight was controlled within 2%.
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