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Approximation and order reduction of fractional order SISO system

Authors: Santosh Kumar Verma; Shyam Krishna Nagar;

Approximation and order reduction of fractional order SISO system

Abstract

It this paper approximation of fractional-order systems into 2nd order integer-order state-space models is presented. The operation is performed it two steps, in first step integer order approximation of fractional order system is done using oustaloup's approximation algorithm and then, the approximated system is realized in a state-space form using MATLAB and dimension of the resulting integer-order model is be reduced using efficient Balanced realization based Techniques namely Balanced Truncation (BT), Singular Purturbation Approximation (SPA), Hankel Norm Approximation (HNA), Hankel Norm Approximation with reduced DC-gain or Modified Hankel Norm Approximation (MHNA) fallowed by steady state reduction by dc-gain. Three SISO fractional order problems have also been discussed to show the performance of the suggested technique.

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Average
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