Control for Fractional-Order Systems and Fractional-Order Control

Theories and Applications

Xinyao Li, Xiaolei Li, Changyun Wen

• Publisher: CRC Press
• Year: 2025
• eBook ISBN: 9781040438121
• Topic: Mathematik
• Subtopic: Differentialgleichungen

This book provides systematic guidance and theoretical basis for control theories and applications of fractional-order control systems. Control for Fractional-Order Systems and Fractional-Order Control: Theories and Applications describes the background, mathematical preliminaries, and recent progress with related illustrated examples, and proposes suggested future trends.

The authors describe control schemes based on the adaptive backstepping technique and sampled data for nonlinear uncertain fractional-order systems and linear fractional-order systems or multi-agent systems. Secure control for linear fractional-order systems subject to cyber attacks is also studied. In addition, the fractional-order adaptive backstepping control problem for high-order uncertain nonlinear integer-order systems or multi-agent systems is also investigated as employing fractional-order controllers in integer-order systems can help increase additional control design degrees of freedom and enable superior control performance. This book contains both control for fractional-order systems in linear or nonlinear forms even with uncertainties and cyber attacks, and fractional-order control schemes. Rigorous analyses, mathematical rules, and practical examples are presented throughout, providing insights for future applications of fractional-order control systems. The resulting improved control is vital for defending against denial-of-service attacks and developing fractional-order control systems.

This book is an invaluable reference for advanced undergraduate and graduate students and researchers in the fields of control science and engineering, fractional-order control schemes, control for fractional-order systems, and related topics. To understand this book, readers should have a knowledge of basic linear and nonlinear control theory.

Table of contents

• Cover Page
• Half-Title Page
• Title Page
• Copyright Page
• Contents
• Preface
• Authors
• Acronyms and Symbols
• Symbols
• 1 Introduction
• 2 Adaptive Backstepping Control for Commensurate Uncertain Nonlinear Fractional-Order Systems with External Disturbance
• 3 Adaptive Backstepping Controller Design for Commensurate Nonlinear Fractional-Order Uncertain Systems with Quantized Input
• 4 Adaptive Backstepping Fractional-Order Control for Incommensurate Uncertain Fractional-Order Nonlinear Systems with External 00000000 Disturbance
• 5 Sampled-Data Control for Linear Fractional-Order Systems and MASs in the Single-Integrator Form
• 6 Sampled-Data Control for a General Class of Linear Fractional-Order Systems
• 7 Finite-Dimensional Control for Linear Discrete-Time Fractional-Order Systems under DoS Attacks
• 8 Adaptive Fractional-Order Backstepping Control for a General Class of Nonlinear Uncertain Integer-Order Systems with External Disturbance
• 9 Prescribed Performance-Based Adaptive Fractional Backstepping Control of Integer-Order Nonlinear Uncertain Systems with External Disturbance
• 10 Quantized Distributed Fractional-Order Cooperative Resilient Tracking Control of Nonlinear Uncertain Integer-Order MASs with Prescribed Performance
• 11 Conclusions and Future Works
• Bibliography
• Index