Event prediction for switching linear systems with time varying thresholds using orthogonal functions
Publikationstyp
Conference Paper
Date Issued
2003
Sprache
English
Institut
First published in
Number in series
2623
Start Page
314
End Page
327
Citation
Hybrid systems: computation and control ; 6th international workshop HSCC 2003, Prague, Czech Republic, April 3 - 5, 2003 ; proceedings. - Berlin, 2003. - (Lecture Notes in Computer Science ; 2623). - Seite 314-327 (2003)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
Springer
ISBN of container
3-540-00913-2
This paper concerns the prediction of switching times for switching linear systems. The instance when a state trajectory exceeds a predefined threshold signal can be determined for input signals and time-varying thresholds without calculating the state-trajectories explicitly. This is obtained by transforming the switching conditions in the Orthogonal Function Domain of the Legendre polynomials. The problem of predicting the event time can be transposed into the problem of finding the minimal, positive and real root of a polynomial. In general, the event time can not be determined exactly, but approximated with sufficient accuracy.
Subjects
Event prediction
Orthogonal functions
Switching linear systems
DDC Class
004: Informatik
600: Technik
620: Ingenieurwissenschaften