Algorithms for polynomial spectral factorization and bounded-real balanced state space representations

Algorithms for polynomial spectral factorization and bounded-real balanced state space representations

We illustrate an algorithm that starting from the image representation of a strictly bounded-real system computes a minimal balanced state variable, from which a minimal balanced state realization is readily obtained. The algorithm stems from an iterative procedure to compute a storage function, bas...

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Veröffentlicht in:Mathematics of control, signals, and systems signals, and systems, 2013-06, Vol.25 (2), p.231-255
Hauptverfasser: Rapisarda, P., Trentelman, H. L., Minh, H. B.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Balancing
Communications Engineering
Computer science
Control
Factorization
Interpolation
Linear algebra
Mathematical models
Mathematics
Mathematics and Statistics
Mechatronics
Networks
Original Article
Polynomials
Representations
Robotics
Spectra
System theory
Systems Theory
Variables
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Zusammenfassung:We illustrate an algorithm that starting from the image representation of a strictly bounded-real system computes a minimal balanced state variable, from which a minimal balanced state realization is readily obtained. The algorithm stems from an iterative procedure to compute a storage function, based on a technique to solve a generalization of the Nevanlinna interpolation problem.
ISSN:0932-4194
1435-568X
DOI:10.1007/s00498-012-0095-x