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.
This book provides systematic guidance and theoretical basis for control theories and applications of fractional-order control systems. It 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 (DoS) 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.
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
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.
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