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.