Routh Approximation

Version 1.1.0.0 (2.01 KB) by Janardhanan Sivaramakrishnan
Computes the reduced order model for a stable system
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2.2K Downloads
Updated 26 Apr 2012

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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

Cite As

Janardhanan Sivaramakrishnan (2024). Routh Approximation (https://www.mathworks.com/matlabcentral/fileexchange/21457-routh-approximation), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.1.0.0

Updated program to include case of first order reduced model
1.0.0.0

Improved error handling. Description Updated.