Fractional Order PID and ADR Controls

1. Auflage 2025
ISBN: 978-1-032-50240-3
Verlag: Taylor & Francis Ltd

Buch, Englisch, 191 Seiten, Format (B × H): 156 mm x 234 mm

This book explores the design and analysis of fractional-order and active disturbance rejection control, examining both the theoretical foundations and their practical applications.

It covers fractional-order proportional-integral-derivative (PID) control, fractional-order active disturbance rejection (ADR) control, and the combined fractional-order PID-ADR control. The book begins with an analysis of the three-parameter fractional-order PID controller, demonstrating its application to the permanent magnet synchronous motor (PMSM) speed servo system, due to its comprehensive inclusion of proportional, integral, and differential elements. It then delves into active disturbance rejection control and periodic disturbance compensation, comparing the performance of each controller based on various parameters. This comparison enables readers to critically evaluate the advantages and limitations of each approach before implementation. Offering a thorough guide to fractional-order and active disturbance rejection control, the book also includes numerical methods for assessing and developing these systems.

The book will be of particular interest to professionals working with numerical methods, fractional-order systems and control, PID controller, active disturbance rejection, control design, and production and is especially relevant to those in mechanical, industrial, and electrical engineering.

Zielgruppe

Academic and Professional Practice & Development

Autoren/Hrsg.

Chen, Pengchong

Luo, Ying

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Section I: Fundamentals

Chapter 1. Introduction

Section II: Fractional Order PID control

Chapter 2. Robust Three-Parameter Fractional Order PID Control
Chapter 3. Optimal Four-Parameter Fractional Order PIlD Control
Chapter 4. Analytical Synthesis of Five-Parameter FO-PIlDm Control
Chapter 5. FO-PIlDm Control Design with Bode’s Ideal Cut-Off Filter

Section III: Fractionl Order of ADR Control

Chapter 6. FO-ADRC with the Idea of Cascaded FO-Integrator

Chapter 7. Quasi Fractional Resonant-NESO Design for PMSM Servo Current
Measurement Error
Chapter 8. Resonant-Model-based ADRC Compensation with Future Work
on FO

Section IV: Fractional Order PID and ADR
Chapter 9: Optimal Fractional Order PD & ADR Control

Chapter 10. A Two-Degree-of-Freedom Controller Design Satisfying Separation
Principle

Über Autor(innen)

Pengchong Chen earned a PhD in mechanical science and engineering at Huazhong University of Science and Technology, Wuhan, China, in 2022. He is currently an Associate Professor in the School of Electrical and Information Engineering at Zhengzhou University, Zhengzhou, China. Dr. Chen’s research interests include mechatronics, robotic control, fractional order, and active disturbance rejection controls.

Ying Luo earned a PhD in control theory and engineering with a joint-PhD program at South China University of Technology (China) and Utah State University (USA) in 2009. He was an Assistant Research Professor at the Center for Self-Organizing and Intelligent Systems in the Department of Electrical and Engineering at Utah State University from 2009 to 2010. Dr. Luo is currently a Professor at the School of Automation Science and Engineering at the South China University of Technology, Guangzhou, China. His research interests include applied fractional calculus in modeling and controls, mechatronics and robotics, active disturbance rejection controls, and smart control engineering.