Jose Sa da (Professor of Control Engineering, Technical University of Lisbon) Costa & Duarte Valerio 
Introduction to Fractional Control [PDF ebook] 

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.