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Matrix Rational H² Approximation: A State-Space Approach Using Schur Parameters (2002)
| Content Provider | CiteSeerX |
|---|---|
| Author | Marmorat, Jean-Paul Olivi, Martine Hanzon, Bernard Peeters, Ralf L. M. |
| Description | This paper deals with the problem of computing a best rational L² approximation of specified order to a given multivariable transfer function. The problem is equivalently formulated as a minimization problem over the manifold of lossless transfer functions of fixed order. To describe this manifold, we use some Schur parameters which allows for a state-space representation. Such a description presents a lot of advantages. It takes into account the stability constraint, possesses a good numerical behavior and provides a model in state-space form, which is very useful in practice. A rigorous and convergent algorithm is proposed to compute local minima, and demonstrated through several examples, including real-data simulations. |
| File Format | |
| Language | English |
| Publisher Date | 2002-01-01 |
| Publisher Institution | IN PROCEEDINGS OF THE CDC02, LAS-VEGAS |
| Access Restriction | Open |
| Subject Keyword | Rational Approximation State-space Representation Stability Constraint Fixed Order State-space Form Several Example Lossless Transfer Function Schur Parameter Real-data Simulation State-space Approach Convergent Algorithm Good Numerical Behavior Matrix Rational Approximation Local Minimum Multivariable Transfer Function Minimization Problem Specified Order |
| Content Type | Text |
| Resource Type | Article |
