A Simple modification to the Smith Predictor Structure for dealing with high-order delayed processes considering one unstable pole

IF 3.3 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of Process Control Pub Date : 2024-08-28 DOI:10.1016/j.jprocont.2024.103299

J.F. Marquez-Rubio , B. del Muro-Cuéllar , R.J. Vazquez-Guerra , A. Urquiza-Castro , L.A. Barragan-Bonilla , C. Martínez

{"title":"A Simple modification to the Smith Predictor Structure for dealing with high-order delayed processes considering one unstable pole","authors":"J.F. Marquez-Rubio , B. del Muro-Cuéllar , R.J. Vazquez-Guerra , A. Urquiza-Castro , L.A. Barragan-Bonilla , C. Martínez","doi":"10.1016/j.jprocont.2024.103299","DOIUrl":null,"url":null,"abstract":"<div><p>The traditional Smith Predictor (SP) is restricted to dealing with stable plants. In this paper, a slight modification of the SP is proposed in order to control unstable plants: systems of any order but with one unstable pole are tackled. In fact, many modifications to the SP can be found in the literature dealing with this kind of system, but none, to our best knowledge, have the simplicity of the structure here proposed. Only one or two gains are added to the traditional SP structure to achieve the stabilization of this kind of unstable system. A simple relation states the necessary and sufficient condition guaranteeing the existence of stabilizing gains, in terms of the location of the unstable pole and the size of the delay term. The range of values for the gains solving the problem is characterized. In addition, the tracking of setpoints and disturbance rejections are analysed. Some numerical examples are presented to illustrate the effectiveness of the proposed strategy, as well as one real-time example.</p></div>","PeriodicalId":50079,"journal":{"name":"Journal of Process Control","volume":"142 ","pages":"Article 103299"},"PeriodicalIF":3.3000,"publicationDate":"2024-08-28","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/S0959152424001392","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}

引用次数: 0

Abstract

The traditional Smith Predictor (SP) is restricted to dealing with stable plants. In this paper, a slight modification of the SP is proposed in order to control unstable plants: systems of any order but with one unstable pole are tackled. In fact, many modifications to the SP can be found in the literature dealing with this kind of system, but none, to our best knowledge, have the simplicity of the structure here proposed. Only one or two gains are added to the traditional SP structure to achieve the stabilization of this kind of unstable system. A simple relation states the necessary and sufficient condition guaranteeing the existence of stabilizing gains, in terms of the location of the unstable pole and the size of the delay term. The range of values for the gains solving the problem is characterized. In addition, the tracking of setpoints and disturbance rejections are analysed. Some numerical examples are presented to illustrate the effectiveness of the proposed strategy, as well as one real-time example.

查看原文本刊更多论文

对史密斯预测器结构的简单修改，用于处理考虑一个不稳定极点的高阶延迟过程

传统的史密斯预测器（SP）仅限于处理稳定的设备。本文建议对 SP 稍作修改，以控制不稳定的植物：处理任何阶次但有一个不稳定极点的系统。事实上，在处理这类系统的文献中可以找到许多对 SP 的修改，但据我们所知，没有一种修改具有本文所提结构的简洁性。只需在传统的 SP 结构上增加一两个增益，就能实现这类不稳定系统的稳定。根据不稳定极点的位置和延迟项的大小，一个简单的关系式说明了保证稳定增益存在的必要条件和充分条件。同时还指出了解决问题的增益值范围。此外，还分析了设定点的跟踪和干扰抑制。为说明所提策略的有效性，介绍了一些数值示例以及一个实时示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Process Control 工程技术-工程：化工

CiteScore

7.00

自引率

11.90%

发文量

159

审稿时长

74 days

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.