A note on the derivation and use of reduced-order models

Genesio, R.; Milanese, M.

doi:10.1109/tac.1976.1101127

Cited by 162 publications

(24 citation statements)

References 109 publications

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“…A large number of methods are available in the literature for order reduction of linear continuous systems in time domain as well as in frequency domain [4]. Further, several methods have also been suggested by combining the features of two deferent methods [5].…”

Section: Factor Division Algorithm and Eigen Spectrum Analysismentioning

confidence: 99%

Performances of Model Reduction using Factor Division Algorithm and Eigen Spectrum Analysis

Adamou‐Mitiche¹

2012

IJCTCM

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The easy and simplicity of manipulation and the multiple applications provided by approximate reducedorder systems, in comparison with original high order systems, make the topic of model reduction a subject with big importance; it allows us to get models that approached in their behavior, by satisfactory way, the high order original systems. In this paper we study one of recent reduction methods, which combine the algorithm of factor division and eigen spectrum analysis, and we compare it in the time domain (Schur method), and in the frequency domain (Routh approximation approach), in order to determine its performances.

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Section: Factor Division Algorithm and Eigen Spectrum Analysismentioning

confidence: 99%

Performances of Model Reduction using Factor Division Algorithm and Eigen Spectrum Analysis

Adamou‐Mitiche¹

2012

IJCTCM

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“…Pψ sd = -a 1 ψ sd + ψ sq + a 2 ψ rd + V sd (1) Pψ sq = -ψ sd -a 1 ψ sq + a 2 ψ rq + V sq (2) Pψ rd = a 3 ψ sq + a 4 ψ rq -(1-w r ) ψ rd (3) Pψ rq = a 3 ψ sd + (1-w r ) ψ rq -a 4 ψ rd…”

Section: A Full-order Model (5th-order Model)unclassified

“…The Model order reduction techniques for both type of reduction have been proposed by several researchers. A large number of methods are available in the literature for order reduction of linear continues systems in time domain as well as in frequency domain [1][2][3][4][5][6][7]. The extension of single input single output (SISO) methods to reduce multi input multi output (MIMO) systems has been also carried out in [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Generalized Two Axes Modeling, Order Reduction and Numerical Analysis of Squirrel Cage Induction Machine for Stability Studies

Kumar¹,

Ghosh²,

Mukherjee³

2010

IJACSA

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“…A large number of order-reduction methods for linear continuous systems in both the time and frequency domains are available in the literature [1][2][3][4][5][6][7][8]. Further, several methods which combine the features of two different methods have also been suggested [9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

System reduction using eigen spectrum analysis and Padé approximation technique

Parmar¹,

Mukherjee²,

Prasad³

2007

International Journal of Computer Mathematics

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A mixed method is proposed for deriving reduced-order models of high-order linear time invariant systems using the combined advantages of eigen spectrum analysis and the Padé approximation technique. The denominator of the reduced-order model is found by eigen spectrum analysis, and the dynamics of the numerator are chosen using the Padé approximation technique. This method guarantees stability of the reduced model if the original high-order system is stable. The method is illustrated by three numerical examples.

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A note on the derivation and use of reduced-order models

Cited by 162 publications

References 109 publications

Performances of Model Reduction using Factor Division Algorithm and Eigen Spectrum Analysis

Performances of Model Reduction using Factor Division Algorithm and Eigen Spectrum Analysis

Generalized Two Axes Modeling, Order Reduction and Numerical Analysis of Squirrel Cage Induction Machine for Stability Studies

System reduction using eigen spectrum analysis and Padé approximation technique

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