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A new approach for frequency weighted L 2 model reduction of discrete‐time systems
Author(s) -
Diab M.,
Liu W. Q.,
Sreeram V.
Publication year - 1998
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/(sici)1099-1514(199805/06)19:3<147::aid-oca623>3.0.co;2-o
Subject(s) - reduction (mathematics) , truncation (statistics) , impulse response , mathematical optimization , impulse (physics) , function (biology) , computer science , mathematics , energy (signal processing) , algorithm , control theory (sociology) , statistics , mathematical analysis , artificial intelligence , physics , geometry , control (management) , quantum mechanics , evolutionary biology , biology
This paper deals with the problem of model reduction based on an optimization technique. The objective function being minimized in the impulse energy of the overall system with unity, single‐sided and double‐sided weightings. A number of properties of the gradient flows associated with the objective function are obtained. Two examples are presented to illustrate the effectiveness of the proposed method, and results are compared with unweighted and weighted balanced truncation methods. © 1998 John Wiley & Sons, Ltd.