Author(s): Duarte Valerio (Author), Jose Sa Da Costa (Author)
Publisher: Institution of Engineering and Technology
Publication Date: 30 Nov. 2012
Edition: Illustrated
Language: English
Print length: 384 pages
ISBN-10: 1849195455
ISBN-13: 9781849195454
Book Description
Fractional control techniques provide an effective way to control dynamic behaviors, 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. The theoretical background covers fractional calculus with real, complex and variable orders, fractional transfer functions, fractional identification and pseudostatespace representations, while the control systems explored include: 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 H8 control, fractional predictive control, trajectory planning and fractional timevarying control. Each chapter contains solved examples, where the subject addressed is either expanded or applied to concrete cases, and references for further reading. Common definitions and proofs are included, along with a bibliography, and a discussion of how MATLAB can be used to assist in the design and implementation of fractional control. This is an essential guide for researchers and advanced students of control engineering in academia and industry.
Editorial Reviews
Review
The book is written by two prominent researchers in the field, and I would (and will) recommend the book to any young researcher interested in the field of applied “fractional” calculus, and in particular, anyone interested in the “fractional” perspective on systems theory.
–Milan Rade Rapaic, Fakultet Tehničkih Nauka, Univerzitet u Novom Sadu, Serbia “Mathematical Reviews”
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.
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