{"title":"Fractional-Order PI/PD and PID Controllers in Power Electronics: The step-down converter case","authors":"Allan G.S. Sánchez , F.J. Pérez-Pinal","doi":"10.1016/j.vlsi.2025.102360","DOIUrl":null,"url":null,"abstract":"<div><div>In this manuscript, generalization for fractional-order PI/PD and PID approximations are synthesized and used to regulate output voltage of DC–DC step-down converter. A non-integer order proposal will be introduced by the fractional Laplacian operator, approximated by a bi-quadratic module within a bandwidth, exhibiting a flat phase curve exploited to enhance transient/permanent characteristics and system robustness. Non-integer order approach has been successfully merged with PI/PD and PID classic controllers and resulting structures showed feasibility and potential. Synthesized controllers are tested in a closed-loop control diagram to determine an effective, stable and fast regulation characteristic. In addition, electrical diagrams for controllers implementation are described. Numerical and experimental results are provided to corroborate proposal effectiveness.</div></div>","PeriodicalId":54973,"journal":{"name":"Integration-The Vlsi Journal","volume":"102 ","pages":"Article 102360"},"PeriodicalIF":2.2000,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integration-The Vlsi Journal","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167926025000173","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, HARDWARE & ARCHITECTURE","Score":null,"Total":0}
引用次数: 0
Abstract
In this manuscript, generalization for fractional-order PI/PD and PID approximations are synthesized and used to regulate output voltage of DC–DC step-down converter. A non-integer order proposal will be introduced by the fractional Laplacian operator, approximated by a bi-quadratic module within a bandwidth, exhibiting a flat phase curve exploited to enhance transient/permanent characteristics and system robustness. Non-integer order approach has been successfully merged with PI/PD and PID classic controllers and resulting structures showed feasibility and potential. Synthesized controllers are tested in a closed-loop control diagram to determine an effective, stable and fast regulation characteristic. In addition, electrical diagrams for controllers implementation are described. Numerical and experimental results are provided to corroborate proposal effectiveness.
期刊介绍:
Integration''s aim is to cover every aspect of the VLSI area, with an emphasis on cross-fertilization between various fields of science, and the design, verification, test and applications of integrated circuits and systems, as well as closely related topics in process and device technologies. Individual issues will feature peer-reviewed tutorials and articles as well as reviews of recent publications. The intended coverage of the journal can be assessed by examining the following (non-exclusive) list of topics:
Specification methods and languages; Analog/Digital Integrated Circuits and Systems; VLSI architectures; Algorithms, methods and tools for modeling, simulation, synthesis and verification of integrated circuits and systems of any complexity; Embedded systems; High-level synthesis for VLSI systems; Logic synthesis and finite automata; Testing, design-for-test and test generation algorithms; Physical design; Formal verification; Algorithms implemented in VLSI systems; Systems engineering; Heterogeneous systems.