Reduction of Transfer Functions by the Stability-Equation Method

Chen, T.C.; Chang, Chao‐Yuan; Han, Kuang-Wei

doi:10.1016/0016-0032(79)90066-8

Cited by 196 publications

(52 citation statements)

References 11 publications

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“…Each one is consequently reduced using impulse and step response-matching technique and the details are given in the following: Example 1. The example given below was considered by Chen et al [7]. The highorder system is given by G 9 ðsÞ ¼ s 4 þ 35s 3 þ 291s 2 þ 1093s þ 1700 s 9 þ 9s 8 þ 66s 7 þ 294s 6 þ 1029s 5 þ 2541s 4 þ 4684s 3 þ 5856s 2 þ 4620s þ 1700 .…”

Section: Examplesmentioning

confidence: 99%

“…Reduced third-order models obtained by Chen et al [7] of the system presented in Eq. (19) above are (I) Using step response matching G 3 ðsÞ ¼ 285s 2 þ 1093s þ 1700 3408s 3 þ 5031s 2 þ 4620s þ 1700 ¼ 285s 2 þ 1093s þ 1700 3408ðs þ 0:6013Þðs þ 0:4374 þ 0:7989jÞðs þ 0:4374 À 0:7989jÞ ,…”

Section: Examplesmentioning

confidence: 99%

“…(19) above is Amplitude Original 9th order [7] 3rd order with all real, distinct poles 3rd order with real and a pair of complex poles 3rd order with one distinct and two repeated poles 3rd order with all real repeated poles Impulse Response…”

Section: Article In Pressmentioning

confidence: 99%

See 2 more Smart Citations

Model order reduction using response-matching technique

Mukherjee

Satakshi

Mittal

2005

Journal of the Franklin Institute

112

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Section: Examplesmentioning

confidence: 99%

Section: Examplesmentioning

confidence: 99%

See 1 more Smart Citation

Model order reduction using response-matching technique

Mukherjee

Satakshi

Mittal

2005

Journal of the Franklin Institute

112

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“…Accordingly, numerous methods are available in the literature for order-reduction of linear continuous systems in the time domain as well as in the frequency domain. Distinct methods are available in international literature for the model reduction of high-order systems such as Pade Approximation [1], Stability Equation method [3], and Routh Approximation method [2]. Many procedures have been employed to determine the optimal parameters to improve the performance of the systems.…”

Section: Introductionmentioning

confidence: 99%

A novel order reduction procedure for linear time invarient interval systems using SGO algorithm

Anand¹,

M²,

R³

2018

IJET

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In this paper, the authors presented a new algorithm for the reduction of high order linear time interval systems. In the proposed method, the Reduced Order Interval Model (ROIM) denominator and numerator polynomials are determined based on minimization of objective function comprising of Integral Squared Error r using Social Group Optimization (SGO). The SGO technique is found to be simple, easy in implementation and provides the optimal solution. Applicability and effectiveness of the proposed method are illustrated through a DC motor speed control system and a typical Seventh order system taken from the literature.

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“…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]. Numerous methods of order reduction are also available in the literature [12][13][14][15][16][17], which are based on the minimization of the integral square error criterion. Some of methods are based on stability criterion.…”

Section: Introductionmentioning

confidence: 99%