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Optimal discrete model reduction by multipoint Padé approximation

✍ Scribed by T.N. Lucas

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
687 KB
Volume
330
Category
Article
ISSN
0016-0032

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✦ Synopsis

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 approximation is proved and the whole process is seen to consist of multiplying matrices and sohing linear equations. Numerical examples are given to illustrate the application of the new method.

📜 SIMILAR VOLUMES

Sub-optimal discrete model reduction by
Sub-optimal discrete model reduction by multipoint Padé approximation
✍ T.N. Lucas 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 517 KB

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 respon

On model reduction by L2-optimal pole re
On model reduction by L2-optimal pole retention
✍ W. Krajewski; A. Lepschy; G.A. Mian; U. Viaro 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 534 KB

The L,-optimal reduced model retaining a given number of poles of the original system is determined in an eficient way. In particular, an expression for evaluating the minimum of the impulse response error norm for any choice of retained poles is derived in terms of the original system parameters, w