An Introduction to Fractional Control
Fractional control techniques provide an effective way to control dynamic behaviours, using fractional differential equations. This can include the control of fractional plants, the control of a plant using a fractional controller, or the control of a plant so that the controlled system will have a fractional behaviour to achieve a performance that would otherwise be hard to come by.
An Introduction to Fractional Control outlines the theory, techniques and applications of fractional control. After an initial introduction to fractional calculus, the book explores many fractional control systems including fractional lead control, fractional lag control, first, second and third generation Crone control, fractional PID, PI and PD control, fractional sliding mode control, logarithmic phase Crone control, fractional reset control, fractional H2 and Hinfinity control, fractional predictive control, and fractional time-varying control.
Each chapter contains solved examples and references for further reading. Common definitions and proofs are included, along with a discussion of how MATLAB can be used to assist in the design and implementation of fractional control.
This book is an essential guide for researchers and advanced students of control engineering in academia and industry.
About the Author
Duarte Valério is a research assistant at the Technical University of Lisbon. He works in the field of control engineering, studying the control of dynamic systems using fractional order derivatives; the use of autonomous, pro-active, interacting systems applied to distributed plants; and the control of plants to produce electricity from sea wave energy.
José Sá da Costa is Professor of Control Engineering at the Technical University of Lisbon and Head of the Centre of Intelligent Systems of the Institute of Mechanical Engineering, Lisbon. His research interests include fractional systems, fault tolerant control, surgery robots, active noise and vibration control, and control in health and ocean wave energy devices.