Download PDF by Fabrizio Padula, Antonio Visioli: Advances in Robust Fractional Control

By Fabrizio Padula, Antonio Visioli

ISBN-10: 3319109294

ISBN-13: 9783319109299

ISBN-10: 3319109308

ISBN-13: 9783319109305

This monograph offers layout methodologies for (robust) fractional regulate structures. It exhibits the reader easy methods to make the most of the very best flexibility of fractional regulate platforms in comparison with integer-order platforms in attaining tougher keep watch over specifications. there's a excessive measure of present curiosity in fractional platforms and fractional keep an eye on bobbing up from either academia and and readers from either milieux are catered to within the textual content. various layout ways having in universal a trade-off among robustness and function of the regulate approach are thought of explicitly. The textual content generalizes methodologies, recommendations and theoretical effects which were effectively utilized in classical (integer) keep an eye on to the fractional case.

The first a part of Advances in strong Fractional keep an eye on is the extra industrially orientated. It makes a speciality of the layout of fractional controllers for integer techniques. specifically, it considers fractional-order proportional-integral-derivative controllers, simply because integer-order PID regulators are, unquestionably, the controllers most often followed in industry.

The moment a part of the booklet offers with a extra normal method of fractional keep watch over platforms, extending options (such as H-infinity optimum keep an eye on and optimum input‒output inversion dependent keep an eye on) initially devised for classical integer-order control.

Advances in strong Fractional keep an eye on can be an invaluable reference for the big variety of educational researchers in fractional regulate, for his or her business opposite numbers and for graduate scholars who are looking to examine extra approximately this subject.

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Extra info for Advances in Robust Fractional Control

Example text

17) is always real valued. 5 Modes The previous results highlight that the basic elements of a commensurate LTI system are a kind of fractional generalization of integer simple fractions, hereafter called fractional-first-order (FFO) system: P(s) = K . 5 Modes 23 magnitude [dB] 20 0 −20 ν −40 −2 10 −1 0 10 10 frequency phase [°] 0 −50 −100 ν −150 −200 −2 10 −1 0 10 10 frequency Fig. 4 show that FFO systems have the interesting properties of being able to describe both monotonic and nonmonotonic behaviors depending on the exponent ν.

7 Conclusions An introduction to fractional linear system and fractional control has been provided in this chapter. Basic concepts that will be useful in the next chapters have been explained. A more detailed overview on fractional systems and fractional control can be found in many contributions to the literature, see for example [21, 31, 45, 71, 87, 123, 140, 141]. 1 Introduction Proportional-integral-derivative (PID) controllers are surely the most adopted controllers in industry owing to the cost/benefit ratio they are capable to provide.

14) is, in general, a multivalued function [107] and the substitution operated to obtain the previous equation maps all the Riemann sheets onto the w plane, as Fig. 2 shows. 15) as an integer transfer function and then reobtaining the corresponding fractional one by means of the substitution w = s ν . 16) where the coefficients λi and gi can be either real or complex (in the latter case they always appear in conjugate pairs). 22 2 Fractional Systems for Control Fig. 16) is p L −1 [H (s)] = η(t) = i=1 gi εk (t, λi ; ν, ν).

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Advances in Robust Fractional Control by Fabrizio Padula, Antonio Visioli


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