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Routh Approximation

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Routh Approximation

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17 Sep 2008 (Updated )

Computes the reduced order model for a stable system

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Description

Given a high order stable transfer function G, this code would compute the reduced order equivalent model for the system using Routh Approximation (or Gamma-Delta Approximation) of required degree.

Refer : V. Krishnamurthy and V. Sheshadri, " A simple and direct method for reducing order of systems using routh approximations in frequency domain", IEEE Transactions on Automatic Control, Vol. 21, pp. 797-799, Oct. 1976.
Function

RouthApprox=Routh_Approximation(G,r)

 Computes the r-th order Routh Approximation of a given n-th order
 transfer function G, with 1<=r<=n.

 Example
 G=tf([1 2],[1 3 4 5])
 r=2;
 R=Routh_Approximation(G,r)

gives the output as

   0.5714 s + 1.143
R= ---------------------
   s^2 + 2.286 s + 2.857

Required Products Control System Toolbox
MATLAB release MATLAB 7 (R14)
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Comments and Ratings (1)
08 Oct 2008 m p

very very

Updates
26 Apr 2012

Updated program to include case of first order reduced model

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