$Functional fractional calculus for system identification and controls /$

Functional fractional calculus for system identification and controls /

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Bibliographic Details
Author / Creator:	Das, Shantanu.
Imprint:	Berlin ; New York : Springer, c2008.
Description:	1 online resource (xvii, 239 p.) : ill.
Language:	English
Subject:	Fractional calculus. Calculus. Calculus. Fractional calculus.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/8884691

Hidden Bibliographic Details
ISBN:	9783540727033 3540727035 3540727027 9783540727026 6611352880 9786611352882
Notes:	Includes bibliographical references (p. 233-239). Description based on print version record.
Summary:	When a new extraordinary and outstanding theory is stated, it has to face criticism and skepticism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its applications to real life problems. It is extraordinary because it does not deal with???ordinary??? differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, but also several.
Other form:	Print version: Das, Shantanu. Functional fractional calculus for system identification and controls. Berlin ; New York : Springer, c2008 3540727027 9783540727026

Description
Summary:	This work is inspired by thought to have an overall fuel-ef?cient nuclear plant control system. I picked up the topic in 2002 while deriving the reactor control laws, which aimed at fuel ef?ciency. Controlling the nuclear reactor close to its natural behavior by concept of exponent shape governor, ratio control and use of logarithmic logic, aims at the fuel ef?ciency. The power-maneuvering trajectory is obtained by shaped-normalized-period function, and this de?nes the road map on which the reactor should be governed. The experience of this concept governing the Atomic Power Plant of Tarapur Atomic Power Station gives lesser overall gains compared to the older plants, where conventional proportional integral and deri- tive type (PID) scheme is employed. Therefore, this motivation led to design the scheme for control system than the conventional schemes to aim at overall plant ef?ciency. Thus, I felt the need to look beyondPID and obtained the answer in fr- tional order control system, requiring fractional calculus (a 300-year-old subject). This work is taken from a large number of studies on fractional calculus and here it is aimed at giving an application-orientedtreatment, to understandthis beautiful old new subject. The contribution in having fractional divergence concept to describe neutron ?ux pro?le in nuclear reactors and to make ef?cient controllers based on fractional calculus is a minor contribution in this vast (hidden) area of science.
Physical Description:	1 online resource (xvii, 239 p.) : ill.
Bibliography:	Includes bibliographical references (p. 233-239).
ISBN:	9783540727033 3540727035 3540727027 9783540727026 6611352880 9786611352882