Time moment and Padé approximation methods applied to the order reduction of MIMO linear systems

Bandekas, D. V.; Papadopoulos, D.P.

doi:10.1016/0016-0032(92)90051-h

Cited by 7 publications

(2 citation statements)

References 11 publications

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“…Further, the method of continued fraction synthesis of reduced models has been found to be a special case of Pade approximation, which for asymptotically stable systems, is equivalent to the time moments methods [10], [11]. These methods are computationally simple but have a very serious disadvantage that the reduced model may be unstable (stable) even though the system is stable (unstable) [12].…”

Section: Introductionmentioning

confidence: 99%

A reduced order model for AGC system using Routh approximation technique

Naqvi¹,

Ibraheem

Naqvi

2014

2014 Innovative Applications of Computational Intelligence on Power, Energy and Controls With Their Impact on Humanity (CIPECH)

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The fast development and usage of small digital computers and processors in the design, analysis and implementation of suitable control strategies has led towards proposing the reduced order modeling of large order physical systems. As most of the models are too complex to be analyzed in its original form, various techniques have been developed in the past to reduce the order of a complex system. The structure of existing power systems is very complex in nature and therefore their resulting mathematical models are of large orders. The analysis of such systems becomes a tedious and difficult job. In this article, a model order reduction technique based on Routh approximation criteria is used to model AGC model of a single area. An AGC model of single area is reduced to third order. The system dynamic response plots for both original and reduced order models are obtained for step input and they are compared. The investigations of these results carried out in the study demonstrate that the complexity of the system is reduced to a great extent. However, the dynamic behavior of all the system states for same step disturbance is within acceptable limit.

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Section: Introductionmentioning

confidence: 99%

A reduced order model for AGC system using Routh approximation technique

Naqvi¹,

Ibraheem

Naqvi

2014

2014 Innovative Applications of Computational Intelligence on Power, Energy and Controls With Their Impact on Humanity (CIPECH)

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“…Many of the methods available in the international literature can be easily extended for the reduced of linear MIMO (Multi input -Multi output systems). Earlier a method for the reduction MIMO methods was given by Bendekas et.at., [5], which is mixed method of time moment matching and Pade approximates. Taiwoet.al., [6] developed methods based upon Pade approximated generalized time moments.…”

Section: Introductionmentioning

confidence: 99%

A Method for the reduction of MIMO systems using Interlacing property and Coefficients matching

Lakshmi¹,

Chakravarti²,

Rao³

2010

IJCA

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This paper suggests a mixed method for the reduction of order of linear high order MIMO systems. This method is based upon the interlacing property of the systems. The denominator polynomial of the reduced order model is obtained by using interlacing property and the numerator is obtained by matching the coefficients of higher order system with those of denominator of the reduced order model. In general the stability of the higher order system is retained in their models. This method is very much flexible and it avoids the iterative procedures for obtaining stable reduced models for a stable high order MIMO systems. The suggested method gives good approximation of the response characteristics of High order MIMO system and its model.

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