Event prediction for switching linear systems with time varying thresholds using orthogonal functions

Publikationstyp
Conference Paper
Date Issued
2003
Sprache
English
Author(s)
Kwiatkowski, Andreas  
Lichtenberg, Gerwald  
Schild, Axel  
Institut
Regelungstechnik E-14  
TORE-URI
http://hdl.handle.net/11420/14927
First published in
Lecture notes in computer science  
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
6th International Workshop Hybrid Systems: Computation and Control, HSCC 2003  
Publisher DOI
10.1007/3-540-36580-x_24
Scopus ID
2-s2.0-35248822211
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