Nicolaie POPESCU-BODORIN
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Reduced Order Modelling (ROM) :: Krylov Projection Based Order Reduction Methods
Pade via Multi-Step Rational Block Lanczos Algorithm: FOM Example


Original system: "fom.mat" file from NICONET
Multi-Step reduction example: 1006 --> 300 --> 66 --> 25 (decreasing state space dimension);
BODE Diagram:


Pade via Multi-Step Rational Block Lanczos Algorithm.
Error measured beetwen first (300-dimensional) and last (25-dimensional) approximation:
(In a complete metric space, any Cauchy sequence is convergent)


Absolute and Relative Error:


Absolute Error:


Step Response:


Impulse response:


Stability Margins:


Nichols Diagram:


Nyquist Diagram:


Detail in Nyquist Diagram:


Poles:


Poles:


Poles:


Singular Values: