DocumentCode
1546331
Title
Matrix operators for numerically stable representation of stiff linear dynamic systems
Author
Braileanu, Grigore
Author_Institution
Dept. of Electr. Eng., Gonzaga Univ., Spokane, WA, USA
Volume
35
Issue
8
fYear
1990
fDate
8/1/1990 12:00:00 AM
Firstpage
974
Lastpage
980
Abstract
A new transformation having features similar to the Laplace transform (but numerically oriented) is developed from the Chebyshev polynomials theory. Signals are represented as vectors of Chebyshev coefficients, and linear subsystems as precomputed matrices. The original problem is preprocessed only once to yield matrix invariants for fast recurrent computations. Theoretical implications of the exact digitizing of a tenth-order transfer function and the reduced-order modeling of a stiff system are discussed
Keywords
linear systems; matrix algebra; polynomials; transfer functions; transforms; Chebyshev polynomials theory; Laplace transform; fast recurrent computations; matrix invariants; numerically stable representation; reduced-order modeling; stiff linear dynamic systems; transfer function; Chebyshev approximation; Control system synthesis; Feedback control; Feeds; Linear systems; Robustness; Stability; Transfer functions; Uncertainty; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.58516
Filename
58516
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