1st Edition

Control for Fractional-Order Systems and Fractional-Order Control Theories and Applications

By Xinyao Li, Xiaolei Li, Changyun Wen Copyright 2026
198 Pages 95 B/W Illustrations
by CRC Press

198 Pages 95 B/W Illustrations
by CRC Press

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... Read more

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 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

 

Biography

Xinyao Li received her Ph.D. degree from Nanyang Technological University, Singapore, in 2023. She is currently an Associate Professor at Guangdong Polytechnic Normal University, China. Her research interests include adaptive control, fractional-order systems control theory and applications, fractional-order control, distributed systems, and cyber-physical systems.

Xiaolei Li is currently an Associate Professor at Yanshan University, China. His research interests include secure localization and formation control of underwater robotic systems and cyber security of cyber-physical systems. He has published more than 80 peer-reviewed papers, including some highly cited papers of ESI.

Changyun Wen is currently a Full Professor at Nanyang Technological University, Singapore. His research interests include control systems and applications, cyber-physical systems, smart grids, and complex systems and networks. He is a Fellow of IEEE and a Fellow of the Academy of Engineering, Singapore.