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Singular perturbational model reduction in the frequency domain

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2 Author(s)
Fernando, K. ; University of Scheffield, Scheffield, England ; Nicholson, H.

Singular perturbational approximations for linear continuous-time and discrete-time systems are developed in the frequency domain. It is shown that the familiar singular perturbational result is an approximation at the origin in the complex plane. However, if the system has multiple time-scale effects, other approximations can be obtained at different locations on the negative real axis to emphasize such behavior. The relationship between singular perturbational approximations and direct subsystem elimination is also investigated.

Published in:

Automatic Control, IEEE Transactions on  (Volume:27 ,  Issue: 4 )