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Optimal reduction of linear systems

โœ Scribed by Rein Luus

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
132 KB
Volume
336
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

The use of direct search (LJ) optimization procedure in multi-pass manner in the frequency domain is shown to be a viable approach for obtaining the optimal reduced model of a linear single-input single-output (SISO) system, for which the optimal solution has eluded previous investigators. The resulting second-order reduced model provides very close timedomain response of the original model to both impulse and step inputs. Establishment of the third-order reduced model is computationally more demanding. Similar behaviour is observed with an eigth-order transfer function, where the second-order reduced model is very easily obtained, but higher order reduced models require a considerably larger number of random points to be used in each iteration.

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