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Model reduction via balanced realizations: an extension and frequency weighting techniques

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2 Author(s)
Al-Saggaf, U.M. ; Dept. of Electr. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia ; Franklin, G.F.

Two model-reduction methods for discrete systems related to balanced realizations are described. The first is a technique which utilizes the least controllable and observable subsystem in deriving a balanced discrete reduced-order model. For this technique as L norm bound on the reduction error is given. The second method is a frequency-weighting technique for discrete- and continuous-time systems where the input-normal or output-normal realizations are modified to include a simple frequency weighting. For this technique, L norm bounds on the weighted reduction errors are obtained

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Automatic Control, IEEE Transactions on  (Volume:33 ,  Issue: 7 )