Design of an H(lemniscate) PI controller with given relative stability and its application to the CSTR problem

IF 0.8 4区 工程技术 Q4 ENGINEERING, CHEMICAL
Ljubiša Dubonjić, V. Filipovic, N. Nedic, Vladimir Đorđević
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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.
具有给定相对稳定性的H(旅线)PI控制器的设计及其在CSTR问题中的应用
H¥控制理论已经达到了很高的水平,在工业上没有得到适当的应用。一些原因是:H¥控制器的合成是复杂的,并且基于数值Nevanlinna-Pick过程,控制器的高阶(高于过程的阶数)和对控制器系数偏差的敏感性(脆弱控制器)。另一方面,PI(PID)控制器在工业上仍然占主导地位,这将固定结构控制器的设计问题置于首位。上面提到的问题很难。本文提出了一种基于D分解的在存在约束(给定相对稳定性)的情况下设计H¥PI控制器的简单交互过程。创建了对参考的响应、干扰抑制和最小H¥控制标准的目录。控制器的选择,根据目录,留给用户。介绍了H?PI控制器在连续搅拌釜反应器中的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Hemijska Industrija
Hemijska Industrija 工程技术-工程:化工
CiteScore
1.60
自引率
11.10%
发文量
12
审稿时长
6-12 weeks
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.
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