Noise in the modeling and control of dynamical systems

verfasst von

Joseph L. Breeden, Friedrich Dinkelacker, Alfred Hubler

Abstract

We demonstrate how noise can be an effective tool in modeling systems whose experimental data sets would normally be limited to a small region of the reconstructed state space. In fact, for systems with stable fixed points, using noise to extend the accessible state-space volume may be the only possibility for constructing a model. We find that noise can also be useful in modeling limit cycles when multiple systems generate the same closed trajectory and the model that represents the true dynamics is desired. We discuss the implications of our method for nonlinear control theory about which important questions on the effects of noise in real-time modeling have arisen.

Externe Organisation(en)

University of Illinois Urbana-Champaign (UIUC)

Typ

Artikel

Journal

Physical Review A

Band

42

Seiten

5827-5836

Anzahl der Seiten

10

ISSN

1050-2947

Publikationsdatum

1990

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Atom- und Molekularphysik sowie Optik

Elektronische Version(en)

https://doi.org/10.1103/PhysRevA.42.5827 (Zugang: Unbekannt)