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Extrapolation based interval approach to compute the frequency responses of non-rational transfer functions with nonlinear parametric dependencies

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Title Extrapolation based interval approach to compute the frequency responses of non-rational transfer functions with nonlinear parametric dependencies
 
Creator PALURI, NSV
SONDUR, S
 
Subject systems
bode plot
extrapolation
frequency response
interval analysis
linear systems
robust control
uncertain systems
 
Description We consider the problem of computing the frequency response of a non-rational transfer function having uncertainties in the parameters. A complete characterization of the frequency plots of such a transfer function is provided and an efficient and guaranteed algorithm for computing the envelope of the Bode plot using interval analysis (IA) is devised. In particular, it is shown that the range enclosure property of the interval analysis can be used to compute the Bode envelopes of the non-rational transfer function with parametric dependencies. The range enclosures computed using IA are guaranteed to contain the minima and maxima of the function over a given box. The IA is combined with uniform subdivision technique to obtain the range enclosures of desired accuracy. We also show, how the well known Richardson extrapolation technique helps in accelerating the convergence process of the algorithm.
 
Publisher IEEE
 
Date 2011-10-25T08:15:31Z
2011-12-15T09:11:44Z
2011-10-25T08:15:31Z
2011-12-15T09:11:44Z
2005
 
Type Proceedings Paper
 
Identifier 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8,6561-6566
0-7803-9567-0
0191-2216
http://dspace.library.iitb.ac.in/xmlui/handle/10054/15656
http://hdl.handle.net/100/2254
 
Source 44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC),Seville, SPAIN,DEC 12-15, 2005
 
Language English