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Fractional-order Systems and PID Controllers

Using Scilab and Curve Fitting Based Approximation Techniques

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  • © 2020

Overview

Authors:
  1. Kishore Bingi

    1. Institute of Autonomous Systems, Universiti Teknologi PETRONAS, Perak, Malaysia

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  2. Rosdiazli Ibrahim

    1. Department of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Perak, Malaysia

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  3. Mohd Noh Karsiti

    1. Department of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Perak, Malaysia

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  4. Sabo Miya Hassan

    1. Department of Electrical and Electronics Engineering, Abubakar Tafawa Balewa University, Bauchi, Nigeria

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  5. Vivekananda Rajah Harindran

    1. Instrumentation and Control, PETRONAS Group Technical Solutions, Petaling Jaya, Malaysia

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  • Presents a detailed study on fractional-order-based PID control strategies and the development of curve-fitting-based approximation techniques for fractional-order parameters
  • Provides real-time examples of the control of process plants using the developed fractional-order-based PID control strategies and the approximation techniques
  • Intended for both research and industry
  • Is specifically useful in industry in the area of research and development (R&D) as well as areas where PID controllers suffice

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 264)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction

    • Kishore Bingi, Rosdiazli Ibrahim, Mohd Noh Karsiti, Sabo Miya Hassan, Vivekananda Rajah Harindran
    Pages 1-5

  3. Fractional-Order Set-Point Weighted Controllers and Approximation Techniques

    1. Front Matter

      Pages 7-7
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    2. Fractional-order Set-Point Weighted Controllers

      • Kishore Bingi, Rosdiazli Ibrahim, Mohd Noh Karsiti, Sabo Miya Hassan, Vivekananda Rajah Harindran
      Pages 9-100

    3. Approximation Techniques

      • Kishore Bingi, Rosdiazli Ibrahim, Mohd Noh Karsiti, Sabo Miya Hassan, Vivekananda Rajah Harindran
      Pages 101-134

  4. Scilab Based Toolbox for Fractional-Order Systems and PID Controllers

    1. Front Matter

      Pages 135-135
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    2. Scilab Based Toolbox for Fractional-order Systems and PID Controllers

      • Kishore Bingi, Rosdiazli Ibrahim, Mohd Noh Karsiti, Sabo Miya Hassan, Vivekananda Rajah Harindran
      Pages 137-212

    3. Scilab Based Toolbox for Fractional-order Chaotic Systems

      • Kishore Bingi, Rosdiazli Ibrahim, Mohd Noh Karsiti, Sabo Miya Hassan, Vivekananda Rajah Harindran
      Pages 213-245

  5. Back Matter

    Pages 247-256
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Keywords

About this book

This book presents a detailed study on fractional-order, set-point, weighted PID control strategies and the development of curve-fitting-based approximation techniques for fractional-order parameters. Furthermore, in all the cases, it includes the Scilab-based commands and functions for easy implementation and better understanding, and to appeal to a wide range of readers working with the software. The presented Scilab-based toolbox is the first toolbox for fractional-order systems developed in open-source software. The toolboxes allow time and frequency domains as well as stability analysis of the fractional-order systems and controllers. The book also provides real-time examples of the control of process plants using the developed fractional-order based PID control strategies and the approximation techniques. The book is of interest to readers in the areas of fractional-order controllers, approximation techniques, process modeling, control, and optimization, both in industry and academia. In industry, the book is particularly valuable in the areas of research and development (R&D) as well as areas where PID controllers suffice – and it should be noted that around 80% of low-level controllers in industry are PID based. The book is also useful where conventional PIDs are constrained, such as in industries where long-term delay and non-linearity are present. Here it can be used for the design of controllers for real-time processes. The book is also a valuable teaching and learning resource for undergraduate and postgraduate students.

Reviews

“The book is intended for students and scientists and should be of interest to practicing and research engineers as well as Ph.D. students in the field of PID controllers and fractional calculus in control of engineering problems.” (Clementina Mladenova, zbMATH 1458.93001, 2021)

Authors and Affiliations

  • Institute of Autonomous Systems, Universiti Teknologi PETRONAS, Perak, Malaysia

    Kishore Bingi

  • Department of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Perak, Malaysia

    Rosdiazli Ibrahim, Mohd Noh Karsiti

  • Department of Electrical and Electronics Engineering, Abubakar Tafawa Balewa University, Bauchi, Nigeria

    Sabo Miya Hassan

  • Instrumentation and Control, PETRONAS Group Technical Solutions, Petaling Jaya, Malaysia

    Vivekananda Rajah Harindran

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