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Robust reduced-order modeling via the optimal projection equations with Peterson-Hollot bounds

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2 Author(s)
Hadad, W.M. ; Dept. of Mech. Eng., Florida Inst. of Technol., Melbourne, FL, USA ; Bernstein, D.S.

An optimal reduced-order modeling problem with parametric plant uncertainty is considered. A model-reduction bound, suggested by recent work of I.R. Petersen and C.V. Hollot, is utilized for guaranteeing robust reduced-order modeling over a specified range of uncertain parameters. Necessary conditions which generalize the optimal projection equations for model reduction are used to characterize the reduced-order model which minimizes the model-reduction bound. The optimality equations thus effectively serve as sufficient conditions for characterizing robust reduced-order models

Published in:

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