Ljubiša Dubonjić, V. Filipovic, N. Nedic, Vladimir Đorđević
{"title":"Design of an H(lemniscate) PI controller with given relative stability and its application to the CSTR problem","authors":"Ljubiša Dubonjić, V. Filipovic, N. Nedic, Vladimir Đorđević","doi":"10.2298/HEMIND170529007D","DOIUrl":null,"url":null,"abstract":"H ¥ control theory has achieved a very high level, which is not followed by appropriate application in industry. Some reasons are: synthesis of H ¥ controllers is complex and based on the numerical Nevanlinna-Pick procedure, high order of controllers (higher than the order of the process) and sensitivity to deviation of controller coefficients (fragile controller). On the other hand, PI (PID) controllers are still dominant in industry, which places the problem of design of fixed structure controllers at the forefront. The mentioned problem is very difficult. This paper proposes a simple interactive procedure for design of H ¥ PI controllers with the presence of constraints (given relative stability) based on D-decomposition. The catalogue of responses to references, suppression of disturbances and minimum of H ¥ criteria of control is created. The selection of controllers, based on the catalogue, is left to the user. The application of H ¥ PI controllers to a CSTR (continuous stirred-tank reactor) is demonstrated.","PeriodicalId":12913,"journal":{"name":"Hemijska Industrija","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hemijska Industrija","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.2298/HEMIND170529007D","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
H ¥ control theory has achieved a very high level, which is not followed by appropriate application in industry. Some reasons are: synthesis of H ¥ controllers is complex and based on the numerical Nevanlinna-Pick procedure, high order of controllers (higher than the order of the process) and sensitivity to deviation of controller coefficients (fragile controller). On the other hand, PI (PID) controllers are still dominant in industry, which places the problem of design of fixed structure controllers at the forefront. The mentioned problem is very difficult. This paper proposes a simple interactive procedure for design of H ¥ PI controllers with the presence of constraints (given relative stability) based on D-decomposition. The catalogue of responses to references, suppression of disturbances and minimum of H ¥ criteria of control is created. The selection of controllers, based on the catalogue, is left to the user. The application of H ¥ PI controllers to a CSTR (continuous stirred-tank reactor) is demonstrated.
期刊介绍:
The Journal Hemijska industrija (abbreviation Hem. Ind.) is publishing papers in the field of Chemical Engineering (Transport phenomena; Process Modeling, Simulation and Optimization; Thermodynamics; Separation Processes; Reactor Engineering; Electrochemical Engineering; Petrochemical Engineering), Biochemical Engineering (Bioreactors; Protein Engineering; Kinetics of Bioprocesses), Engineering of Materials (Polymers; Metal materials; Non-metal materials; Biomaterials), Environmental Engineeringand Applied Chemistry. The journal is published bimonthly by the Association of Chemical Engineers of Serbia (a member of EFCE - European Federation of Chemical Engineering). In addition to professional articles of importance to industry, scientific research papers are published, not only from our country but from all over the world. It also contains topics such as business news, science and technology news, information on new apparatus and equipment, and articles on environmental protection.