{"title":"Modified fast discrete-time PID formulas for obtaining double precision accuracy","authors":"Eungnam Kim, Jin-Young Choi","doi":"10.1049/ell2.70114","DOIUrl":null,"url":null,"abstract":"<p>Proportional integral derivative (PID) controllers are widely used across various industries. This paper presents a new modified PID controller based on integer origin raw data, which are equivalent to classic PID controller based on floating-point actual values. These new formulas presented in new PID controller provide a mathematical approach to the ‘Classic PID Formula’, ‘Subtractor Formula’ and ‘Scaling Formula’, which form the basis of classic PID controller. The approach integrates these three formulas and separates them into integer and real value by applying the properties of associativity and commutativity. This method uses origin raw data as input to perform integer-based computation and performs floating-point operations once. This resulted in faster computation time and energy savings, while showing accuracy comparable to the existing double precision formulas.</p>","PeriodicalId":11556,"journal":{"name":"Electronics Letters","volume":"60 24","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1049/ell2.70114","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronics Letters","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1049/ell2.70114","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
Proportional integral derivative (PID) controllers are widely used across various industries. This paper presents a new modified PID controller based on integer origin raw data, which are equivalent to classic PID controller based on floating-point actual values. These new formulas presented in new PID controller provide a mathematical approach to the ‘Classic PID Formula’, ‘Subtractor Formula’ and ‘Scaling Formula’, which form the basis of classic PID controller. The approach integrates these three formulas and separates them into integer and real value by applying the properties of associativity and commutativity. This method uses origin raw data as input to perform integer-based computation and performs floating-point operations once. This resulted in faster computation time and energy savings, while showing accuracy comparable to the existing double precision formulas.
期刊介绍：
Electronics Letters is an internationally renowned peer-reviewed rapid-communication journal that publishes short original research papers every two weeks. Its broad and interdisciplinary scope covers the latest developments in all electronic engineering related fields including communication, biomedical, optical and device technologies. Electronics Letters also provides further insight into some of the latest developments through special features and interviews.
Scope
As a journal at the forefront of its field, Electronics Letters publishes papers covering all themes of electronic and electrical engineering. The major themes of the journal are listed below.
Antennas and Propagation
Biomedical and Bioinspired Technologies, Signal Processing and Applications
Control Engineering
Electromagnetism: Theory, Materials and Devices
Electronic Circuits and Systems
Image, Video and Vision Processing and Applications
Information, Computing and Communications
Instrumentation and Measurement
Microwave Technology
Optical Communications
Photonics and Opto-Electronics
Power Electronics, Energy and Sustainability
Radar, Sonar and Navigation
Semiconductor Technology
Signal Processing
MIMO
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