INITIALIZATION OF FRACTIONAL-ORDER SYSTEMS USING THE HANKEL OPERATOR

This paper demonstrates the use of the Hankel operator to characterize the initial-condition response of a fractional-order system. A general initial-condition response can be determined for any input applied before t = 0 . Two techniques for approximating the Hankel operator are discussed. These approximation methods are applied to illustrative examples, demonstrating a general characterization of natural responses.Copyright © 2011 by ASME