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Optimal Modal Reduction

by Janardhanan Sivaramakrishnan

 

19 Sep 2008 (Updated 19 Sep 2008)

Optimal Reduced Order State Space

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Description

The code computes the optimal reduced order state space model for a given system represented in state space.

The method used to find the reduced order model is based on the paper by Chidambara.

M. R. Chidambara and E. J. Davison, " Further remarks on simplifying linear dynamical systems", IEEE Trans. Auto. Contr. (Correspondence), Vol. 12, pp. 213-214, Apr. 1967.

[A_1,B_1,C_1,D_1,r_opt]=reduced_model(A,B,C,D);

would result in ss(A_1,B_1,C_1,D_1) being the optimal reduced order model for the state space ss(A,B,C,D). The optimal order is given in the output variable r_opt.

Required Products Control System Toolbox
MATLAB release MATLAB 7 (R14)
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model reduction Janardhanan Sivaramakrishnan 22 Oct 2008 10:20:07
modal reduction Janardhanan Sivaramakrishnan 22 Oct 2008 10:20:07
time domain reduction Janardhanan Sivaramakrishnan 22 Oct 2008 10:20:07

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