Snapshot-Based Balanced Truncation for Linear Time-Periodic Systems

We introduce an algorithm based on a method of snapshots for computing approximate balanced truncations for discrete-time, linear time-periodic systems. The algorithm is applicable to stable (including neutrally stable) systems with very high dimension, allowing either the output or the input to be...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	IEEE transactions on automatic control 2010-02, Vol.55 (2), p.469-473
Hauptverfasser:	Zhanhua Ma, Rowley, C.W., Tadmor, G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied sciences Approximation Automatic control Balanced truncation Balancing Computation Computational modeling Computer science control theory systems Control theory. Systems Design engineering Dimensional stability Distributed parameter systems Exact sciences and technology Feedback control Fluid dynamics linear time-periodic systems Mathematical models model reduction Modelling and identification Nonlinear dynamical systems Nonlinear systems Orbits Partial differential equations Reduced order systems
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We introduce an algorithm based on a method of snapshots for computing approximate balanced truncations for discrete-time, linear time-periodic systems. The algorithm is applicable to stable (including neutrally stable) systems with very high dimension, allowing either the output or the input to be very high dimensional, as well. This algorithm is illustrated with a numerical example.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2009.2036335