{"title":"工业控制器的比较:在一个正在运行的工业浮选过程中的干扰抑制","authors":"Frida Norlund , Kristian Soltesz , Margret Bauer","doi":"10.1016/j.jprocont.2025.103478","DOIUrl":null,"url":null,"abstract":"<div><div>Linear quadratic (LQ) control optimizes a quadratic cost function while following a linear model. It is commercially available in the process industry but often not labeled as such and infrequently used. Froth flotation is a process in the minerals industry that extracts precious metals from a slurry of finely ground rock in consecutive tanks called cells. Flotation cells are often arranged in two parallel streams and the main control task is to regulate the cell levels. In this work, a commercial solution is used to assess the performance of LQ control and compare it to existing PI/PID controllers. Comparing control solutions in the process industry in general and the minerals industry in particular is fraught with difficulty because operating conditions change frequently, especially when studying the capability to reject disturbances. In the flotation process studied here, the disturbances act on two parallel lines, one controlled by an LQ algorithm and the other with the existing PI/PID controllers. This work develops data assessment strategies to isolate events of interest and analyses them both with classical metrics such as integrated absolute error, and with metrics relevant for the operators, such as maximum level deviations. Both these metrics clearly show that the LQ controller performs significantly and consistently better than the PI/PID controllers.</div></div>","PeriodicalId":50079,"journal":{"name":"Journal of Process Control","volume":"152 ","pages":"Article 103478"},"PeriodicalIF":3.3000,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comparison of industrial controllers: Disturbance rejection in an up-and-running industrial flotation process\",\"authors\":\"Frida Norlund , Kristian Soltesz , Margret Bauer\",\"doi\":\"10.1016/j.jprocont.2025.103478\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Linear quadratic (LQ) control optimizes a quadratic cost function while following a linear model. It is commercially available in the process industry but often not labeled as such and infrequently used. Froth flotation is a process in the minerals industry that extracts precious metals from a slurry of finely ground rock in consecutive tanks called cells. Flotation cells are often arranged in two parallel streams and the main control task is to regulate the cell levels. In this work, a commercial solution is used to assess the performance of LQ control and compare it to existing PI/PID controllers. Comparing control solutions in the process industry in general and the minerals industry in particular is fraught with difficulty because operating conditions change frequently, especially when studying the capability to reject disturbances. In the flotation process studied here, the disturbances act on two parallel lines, one controlled by an LQ algorithm and the other with the existing PI/PID controllers. This work develops data assessment strategies to isolate events of interest and analyses them both with classical metrics such as integrated absolute error, and with metrics relevant for the operators, such as maximum level deviations. Both these metrics clearly show that the LQ controller performs significantly and consistently better than the PI/PID controllers.</div></div>\",\"PeriodicalId\":50079,\"journal\":{\"name\":\"Journal of Process Control\",\"volume\":\"152 \",\"pages\":\"Article 103478\"},\"PeriodicalIF\":3.3000,\"publicationDate\":\"2025-07-03\",\"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/S0959152425001064\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Process Control","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0959152425001064","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Comparison of industrial controllers: Disturbance rejection in an up-and-running industrial flotation process
Linear quadratic (LQ) control optimizes a quadratic cost function while following a linear model. It is commercially available in the process industry but often not labeled as such and infrequently used. Froth flotation is a process in the minerals industry that extracts precious metals from a slurry of finely ground rock in consecutive tanks called cells. Flotation cells are often arranged in two parallel streams and the main control task is to regulate the cell levels. In this work, a commercial solution is used to assess the performance of LQ control and compare it to existing PI/PID controllers. Comparing control solutions in the process industry in general and the minerals industry in particular is fraught with difficulty because operating conditions change frequently, especially when studying the capability to reject disturbances. In the flotation process studied here, the disturbances act on two parallel lines, one controlled by an LQ algorithm and the other with the existing PI/PID controllers. This work develops data assessment strategies to isolate events of interest and analyses them both with classical metrics such as integrated absolute error, and with metrics relevant for the operators, such as maximum level deviations. Both these metrics clearly show that the LQ controller performs significantly and consistently better than the PI/PID controllers.
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.