An Introduction to Fractional Control
1st Edition
Published on 23. November 2012
384 pages
978-1-84919-546-1 (ISBN)
Description
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.
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.
Reviews / Votes
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 Tehnickih Nauka, Univerzitet u Novom Sadu, Serbia * Mathematical Reviews *More details
Series
Language
English
Place of publication
Stevenage
United Kingdom
Target group
College/higher education
Professional and scholarly
ISBN-13
978-1-84919-546-1 (9781849195461)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Duarte Valerio | Jose Sa da Costa
An Introduction to Fractional Control
Book
11/2012
Institution of Engineering and Technology
€152.50
Shipment within 3-4 weeks
Persons
Duarte Valerio 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.
Jose Sa 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.
Jose Sa 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.
Content
Chapter 1: Preliminaries
Part I: Fractional derivatives with real orders
Chapter 2: Fractional calculus: real orders
Chapter 3: Fractional transfer functions
Chapter 4: Approximations of fractional transfer functions
Chapter 5: Fractional identification
Chapter 6: First and second-generation Crone control
Chapter 7: Fractional PIDs
Chapter 8: Fractional reset control
Chapter 9: Fractional H2 and Hinfinity control
Chapter 10: Pseudo-state-space representations
Chapter 11: Fractional sliding mode control
Chapter 12: Trajectory planning
Part II: Fractional derivates with complex orders
Chapter 13: Fractional calculus: complex orders
Chapter 14: Complex order transfer functions
Chapter 15: Third generation Crone control
Part III: Fractional derivatives with variable orders
Chapter 16: Fractional calculus: variable orders
Chapter 17: Fractional time-varying control
Chapter 18: General considerations
Appendix A
Part I: Fractional derivatives with real orders
Chapter 2: Fractional calculus: real orders
Chapter 3: Fractional transfer functions
Chapter 4: Approximations of fractional transfer functions
Chapter 5: Fractional identification
Chapter 6: First and second-generation Crone control
Chapter 7: Fractional PIDs
Chapter 8: Fractional reset control
Chapter 9: Fractional H2 and Hinfinity control
Chapter 10: Pseudo-state-space representations
Chapter 11: Fractional sliding mode control
Chapter 12: Trajectory planning
Part II: Fractional derivates with complex orders
Chapter 13: Fractional calculus: complex orders
Chapter 14: Complex order transfer functions
Chapter 15: Third generation Crone control
Part III: Fractional derivatives with variable orders
Chapter 16: Fractional calculus: variable orders
Chapter 17: Fractional time-varying control
Chapter 18: General considerations
Appendix A
