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SUMMARY:Applications of Fractional Calculus in Mechatronics and Control Th
 eory: New Results
DTSTART;VALUE=DATE-TIME:20110323T170000Z
DTEND;VALUE=DATE-TIME:20110323T180000Z
DTSTAMP;VALUE=DATE-TIME:20261010T111551Z
UID:indico-event-121@indico.ipb.ac.rs
DESCRIPTION:Abstract: In recent years\, there have been extensive research
  activities related to applications of fractional calculus (FC) in mechatr
 onics and control theory. In this presentation a quite new stability test 
 procedure is proposed for perturbed (non)linear (non) homogeneous fraction
 al order systems with/without time delay. Results from the area of finite 
 time and practical stability extends to (non)linear\, continuous\, fractio
 nal order (time-delay) systems given in state space form. Sufficient condi
 tions of finite time stability and practical stability for this class of f
 ractional systems are derived using generalized Gronwall inequalities. Spe
 cially\, previous results can be applied for stabilization of mechatronic 
 system where it appears a time delay in PDα fractional control system. Be
 sides that\, a PDα type of iterative learning feedback control (ILFC) is 
 proposed for class -fractional linear time invariant system. When the stru
 cture is not known or when many parameters cannot be determined\, ILC may 
 be considered. The learning control scheme comprises two types of control 
 laws: a PDα feedback law and a PDα feed-forward control law.A sufficient
  condition for convergence of a proposed ILC will be given by the theorem 
 and proved. Using feedback loop\, the PDα controller provides better stab
 ility of the system and keeps its state errors within uniform bounds. Next
 \, it will be presented here a new algorithms of PID control based on appl
 ying FC in control of given mechatronic system for the producing of techni
 cal gases\, i.e air production cryogenic. Objective is to find out optimum
  settings for a fractional PIα Dβ controller in order to fulfill differe
 nt design specifications for the closed-loop system\, taking advantage of 
 the fractional orders and properties of liquid. Moreover\, it will be show
 n that active control of nonlinear vibration of simply supported smart com
 posite beam can be obtained using suitable fractional PIα Dβ controller 
 where sensing and actuating are achieved using piezoelectric sensors and a
 ctuators. At last\, the generalization of the splines (fractional B-spline
 s)\, and other fractional wavelet constructions will be disscused\,where w
 e can build the wavelet bases parameterized by the continuously-varying re
 gularity parameter α. In that way\, the fractional WT technique offers ve
 ry handy tool to perform the signal analysis for pattern specially welcome
 d in real-life non-destructing testing\, which enhance already existing te
 sting equipment with advanced signal processing - denoising\, magnifying a
 nd clustering the original signal.\n\nhttps://events.saifa.rs/event/121/
LOCATION:Mathematical Institute 301 F
URL:https://events.saifa.rs/event/121/
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