SERALAB(Demo)- Simple eigensystem realization algorithm Lab

eigensystem realization algorithm (ERA)

Description

The eigensystem realization algorithm (ERA) was first proposed by Juang and Pappa (1985) for modal parameter identification and model reduction of linear dynamical systems and was later refined and ERA with data correlations (ERA/DC) was formulated to handle the effects of noise and nonlinearities (Juang et al., 1988).

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
SGALAB 1003 Beta 5.0.0.8( Matrix Varaible Inputs )

• MATLAB release: MATLAB 7 (R14)
• Other requirements: None

[yiyang LI]

 

[Anish Chhabra]

 

[Georgios Rigas]

I think there is an important mistake in the ERA.m which should be taken into account.

In the 33rd line instead of:
ERA_A1=SS^(-0.5)*UU'*H1*VV*SS^(-0.5);
ERA_B1=SS^(-0.5)*VV'*EL';
ERA_G=EM*UU*SS^(-0.5);

should be:
ERA_A1=SS^(-0.5)*UU'*H1*VV*SS^(-0.5);
ERA_B1=SS^(0.5)*VV'*EL';
ERA_G=EM*UU*SS^(0.5);

Regards,
George