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SUMMARY:Fractional calculus in control applications - Cristina Muresan\, T
 echnical University of Cluj-Napoca\, Romania
DTSTART:20150409T130000Z
DTEND:20150409T140000Z
UID:TALK57915@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:The beginning of fractional calculus dates back to the early d
 ays of classical differential calculus\, although its inherent complexity 
 postponed its use and application to the engineering world. Nowadays\, its
  use in control engineering has been gaining more and more popularity in t
 erms of controller tuning. Generally speaking\, fractional calculus may be
  defined as a generalization of ordinary differentiation and integration t
 o arbitrary (non-integer) order. The seminar focuses on the basics of frac
 tional calculus in control applications\, with a focus upon the advantages
  that a controller employing fractional order differentiators or integrato
 rs might bring to the overall performance of the closed loop system.\n\nTh
 e seminar includes a brief historical review of the early steps of fractio
 nal order controllers and how Bode’s ideal loop transfer function has be
 en used to shape the idea of robust fractional order controllers. The stab
 ility of fractional order systems is also presented\, along with a suggest
 ive example used to indicate how the analysis of stability regions might r
 epresent a useful tool in designing fractional order control strategies. T
 he main topic of the seminar is centered around the fractional order PIμD
 λ controllers. The design problem of fractional order controllers has bee
 n the interest of many authors\, with some valuable works\, in which the f
 ractional order controllers have been applied to a variety of processes to
  enhance the robustness and performance of the control systems. The semina
 r includes a general tuning procedure for fractional order PIμ\, PDλ and
  PIμDλ controllers\, as well as an alternative approach based on vector 
 representation. The tuning procedure is also extended to time delay proces
 ses. Finally\, ways of implementing these fractional order controllers are
  addressed\, including both analog and digital realizations. Apart from th
 e fractional order PID\, several attempts have been made to design advance
 d fractional order control strategies\, by combining fractional calculus w
 ith optimal control\, predictive control\, robust or adaptive control. The
  presentation will end with such a tuning procedure for fractional order I
 nternal Model Control strategies.
LOCATION: Cambridge University Engineering Department\, LR4
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