Control for Fractional-Order Systems and Fractional-Order Control

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