10c3bac32a666f9fbac04f084b02f88e frafra_a2022m9v6n9p478.pdf fd930612f99488d483cdde8ded22928ede02c0af frafra_a2022m9v6n9p478.pdf e3bf967d03b51912a3254d01f9b6e36052c2ac36c93a359469518bc91e07fa7c frafra_a2022m9v6n9p478.pdf Title: FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process Subject: This paper deals with the design of a control system based on fractional order models and fractional order proportional-integral-derivative (FOPID) controllers and fractional-order proportional-integral (FOPI) controllers. The controller design takes into account the trade-off between robustness and performance as well as the trade-off between the load disturbance rejection and set-point tracking tasks. The fractional order process model is able to represent an extensive range of dynamics, including over-damped and oscillatory behaviors and this simplifies the process modelling. The tuning of the FOPID and FOPI controllers is achieved by using an optimization, as a first step, and in a second step, several fitting functions were used to capture the behavior of the optimal parameters of the controllers. In this way, a new set of tuning rules called FOMCoRoT (Fractional Order Model and Controllers Robust Tuning) is obtained for both FOPID and FOPI controllers. Simulation examples show the effectiveness of the proposed control strategy based on fractional calculus. Keywords: PID control; fractional order; automatic tuning; performance analysis; robustness Author: Helber Meneses, Orlando Arrieta, Fabrizio Padula, Antonio Visioli and Ramon Vilanova Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Mon Sep 12 11:34:44 2022 CEST ModDate: Tue Sep 13 03:39:38 2022 CEST Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 16 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 1264005 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- YHNVGM+URWPalladioL-Bold Type 1 Custom yes yes no 10 0 PIICCP+URWPalladioL-Roma Type 1 Custom yes yes no 15 0 WLSIPU+URWPalladioL-Ital Type 1 Custom yes yes no 19 0 GZCWGE+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 47 0 SOSTRQ+CMR10 Type 1 Builtin yes yes no 69 0 QIELJB+CMMI10 Type 1 Builtin yes yes no 79 0 MGJDBS+PazoMath-Italic Type 1 Builtin yes yes no 83 0 NQVMOC+CMSY10 Type 1 Builtin yes yes no 87 0 ZQTZQX+PazoMath Type 1 Builtin yes yes no 91 0 Helvetica Type 1 WinAnsi no no no 97 0 XALXVJ+CMEX10 Type 1 Builtin yes yes no 101 0 DQXLBR+SFTT1000 Type 1 Custom yes yes no 108 0 XNLLXK+PazoMath-BoldItalic Type 1 Builtin yes yes no 116 0 LBKTJT+URWPalladioL-BoldItal Type 1 Custom yes yes no 120 0 Helvetica Type 1 WinAnsi no no no 126 0 HVUVTF+Helvetica Type 1C WinAnsi yes yes no 139 0 HVUVTF+Helvetica Type 1C WinAnsi yes yes no 155 0 CWBLOU+Helvetica Type 1C WinAnsi yes yes no 171 0 XDUIZQ+Helvetica Type 1C WinAnsi yes yes no 177 0 KDZWRK+CMBSY10 Type 1 Builtin yes yes no 187 0 OCCGJD+Helvetica Type 1C WinAnsi yes yes no 194 0 OCCGJD+Helvetica Type 1C WinAnsi yes yes no 203 0 GGYLLC+EURM7 Type 1 Builtin yes yes no 209 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2023-07-01 02:42:08 CEST RepresentationInformation: frafra_a2022m9v6n9p478.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2023-06-30 18:58:05 CEST Size: 1264005 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 367 FreeObjects: 3 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@44c8afef Item: Title: Problem Formulation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b69c6ba Children: Item: Title: Controlled Process Model Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@46daef40 Item: Title: FOPI(D) Controller Equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Item: Title: Performance and Robustness Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Optimal Tuning Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Item: Title: Robustness and Performance Analysis for the Tuning Rule Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Children: Item: Title: FOPID Controllers Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: FOPI Controllers Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Item: Title: Simulation Examples Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a3d45bd Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1e7c7811 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77ec78b9 Info: Title: FOPI/FOPID Tuning Rule Based on a Fractional Order Model for the Process Author: Helber Meneses, Orlando Arrieta, Fabrizio Padula, Antonio Visioli and Ramon Vilanova Subject: This paper deals with the design of a control system based on fractional order models and fractional order proportional-integral-derivative (FOPID) controllers and fractional-order proportional-integral (FOPI) controllers. The controller design takes into account the trade-off between robustness and performance as well as the trade-off between the load disturbance rejection and set-point tracking tasks. The fractional order process model is able to represent an extensive range of dynamics, including over-damped and oscillatory behaviors and this simplifies the process modelling. The tuning of the FOPID and FOPI controllers is achieved by using an optimization, as a first step, and in a second step, several fitting functions were used to capture the behavior of the optimal parameters of the controllers. In this way, a new set of tuning rules called FOMCoRoT (Fractional Order Model and Controllers Robust Tuning) is obtained for both FOPID and FOPI controllers. Simulation examples show the effectiveness of the proposed control strategy based on fractional calculus. 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