Paper Info
Title
Combining loop-shaping and Laguerre development for rational approximation of a noninteger order, integral, analog controller
Abstract
Fractional order systems are receiving more and more attention from the scientific literature as many real systems showed behavior which can be represented by fractional order differential equations. Besides many control design methods are being investigated since fractional order controllers guarantee robust stability in wide frequency ranges. This paper uses generalized Laguerre orthogonal functions to approximate a fractional integrator as a rational transfer junction. A truncated Laguerre series is derived in the time domain to represent the approximated impulse response of the irrational transfer function. Then, a loop shaping is performed on the phase plot of the frequency response. Simulation results show how the compact and economic approximation gives good performance in a sufficiently wide frequency range.
Year
DOI
Venue
2005
10.1109/ETFA.2005.1612573
ETFA
Keywords
Field
DocType
approximation theory,control system synthesis,frequency response,rational functions,robust control,stochastic processes,Laguerre development,Laguerre orthogonal function,analog controller,control design method,differential equation,fractional order system,frequency response,loop-shaping technique,rational approximation,transfer function
Impulse response,Orthogonal functions,Laguerre's method,Laguerre polynomials,Control theory,Approximation theory,Fractional-order system,Control engineering,Fractional calculus,Engineering,Rational function
Conference
Volume
Citations 
PageRank 
1
0
0.34
References 
Authors
2
1
Name
Order
Citations
PageRank
Guido Maione15412.37