A discrete-time multipoint Pad6 approximation method is presented that derives optimal reduced-order models. The method is seen to be easily implemented using a recently developed way of calculating Pad& approximants. An important result that relates the optimal model to multipoint Pade approximatio
✦ LIBER ✦
Sub-optimal discrete model reduction by multipoint Padé approximation
✍ Scribed by T.N. Lucas
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 517 KB
- Volume
- 333
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
A multipoint Padk approximation method is presented for obtainin9 a reduced order z-transfer function, with a pre-determined denominator, such that the square-error-sum of time responses between the full and reduced models is minimized. An extension of the method to matchin 9 the initial time response values for impulse and step inputs is also 9iven. The method and its extension are seen to be easy to apply and are very amenable to use on modern computer algebra systems, consisting entirely of simple matrix operations. Numerical examples are 9iven to illustrate the application of the technique.
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