{"title":"New design of two-dimensional model predictive iterative learning control with novel error compensation for batch processes","authors":"Chonggao Hu , Ridong Zhang , Furong Gao","doi":"10.1016/j.jprocont.2025.103592","DOIUrl":null,"url":null,"abstract":"<div><div>Traditional two-dimensional (2D) model predictive model iterative learning control strategies can only rely on feedback to passively deal with time delays, repetitive disturbances, and non-repetitive disturbances of batch processes. To address these shortcomings, this paper proposes a two-dimensional model predictive iterative learning control strategy using an improved state space model structure with new error compensation (2D-EC-MPILC). Firstly, a two-dimensional extended non-minimal state space (2D-ENMSS) model is established, which can provide more degrees of freedom for controller design. Secondly, a novel error compensation (EC) strategy is proposed to correct the tracking error value of the current batch. The novel 2D-EC-MPILC controller is designed with both additional tuning degrees and batch-wise error correction, ensuring an improved control performance. The proposed algorithm is tested on the holding pressure control system of an injection molding process and the temperature control system of a nonlinear batch reactor.</div></div>","PeriodicalId":50079,"journal":{"name":"Journal of Process Control","volume":"157 ","pages":"Article 103592"},"PeriodicalIF":4.4000,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Process Control","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0959152425002203","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/12/1 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
Traditional two-dimensional (2D) model predictive model iterative learning control strategies can only rely on feedback to passively deal with time delays, repetitive disturbances, and non-repetitive disturbances of batch processes. To address these shortcomings, this paper proposes a two-dimensional model predictive iterative learning control strategy using an improved state space model structure with new error compensation (2D-EC-MPILC). Firstly, a two-dimensional extended non-minimal state space (2D-ENMSS) model is established, which can provide more degrees of freedom for controller design. Secondly, a novel error compensation (EC) strategy is proposed to correct the tracking error value of the current batch. The novel 2D-EC-MPILC controller is designed with both additional tuning degrees and batch-wise error correction, ensuring an improved control performance. The proposed algorithm is tested on the holding pressure control system of an injection molding process and the temperature control system of a nonlinear batch reactor.
期刊介绍:
This international journal covers the application of control theory, operations research, computer science and engineering principles to the solution of process control problems. In addition to the traditional chemical processing and manufacturing applications, the scope of process control problems involves a wide range of applications that includes energy processes, nano-technology, systems biology, bio-medical engineering, pharmaceutical processing technology, energy storage and conversion, smart grid, and data analytics among others.
Papers on the theory in these areas will also be accepted provided the theoretical contribution is aimed at the application and the development of process control techniques.
Topics covered include:
• Control applications• Process monitoring• Plant-wide control• Process control systems• Control techniques and algorithms• Process modelling and simulation• Design methods
Advanced design methods exclude well established and widely studied traditional design techniques such as PID tuning and its many variants. Applications in fields such as control of automotive engines, machinery and robotics are not deemed suitable unless a clear motivation for the relevance to process control is provided.