This paper is concerned with computing an L2-optimal reduced-order model for a given stable multivariable linear system in the presence of inpuL and output frequency weightings. By parametrizing a class of reduced-order models in terms of an orthogonal projection and using manifold techniques as too
Convergent algorithm for L2 model reduction
✍ Scribed by Augusto Ferrante; Wiesław Krajewski; Antonio Lepschy; Umberto Viaro
- Book ID
- 108307506
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 137 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0005-1098
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📜 SIMILAR VOLUMES
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 ca
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