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
Optimality conditions in multivariable L2 model reduction
β Scribed by W. Krajewski; A. Lepschy; G.A. Mian; U. Viaro
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 486 KB
- Volume
- 330
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
The problem oj'approximating an original rational matrix by means oj'a rational matrix of lower order according to the L,-norm criterion is considered. In particular, a compact ,form of the necessary conditions,jiw optimal@ is derived, which may be considered as the extension to the multivariable case of the interpolation conditions valid in the scalar case. On the basis of' this ,form, an iterative numerical technique to jind the optimal approximating model is suggested.
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