DocumentCode :
375199
Title :
Partial stabilization of large-scale discrete-time linear control systems
Author :
Benner, Peter ; Castillo, Maribel ; Quintana-Ortí, Enrique S.
Author_Institution :
Fachbereich Math. und Inf., Bremen Univ., Germany
fYear :
2001
fDate :
2001
Firstpage :
93
Lastpage :
98
Abstract :
We propose a parallel algorithm for stabilizing large discrete-time linear control systems on a Beowulf cluster. Our algorithm first separates the Schur stable part of the linear control system using an inverse-free iteration for the matrix disc function, and then computes a stabilizing feedback matrix for the unstable part. This stage requires the numerical solution of a Stein equation. This linear matrix equation is solved using the sign function method after applying a Cayley transformation to the original equation. The experimental results on a cluster composed of Intel PII processors and a Myrinet interconnection network show the parallelism and scalability of our approach
Keywords :
control system CAD; discrete time systems; parallel algorithms; stability; workstation clusters; Beowulf cluster; Intel PII processors; Myrinet interconnection network; Stein equation; discrete-time linear control systems; inverse-free iteration; linear control system; linear matrix equation; parallel algorithm; stabilizing feedback matrix; Clustering algorithms; Concurrent computing; Control systems; Kernel; Large-scale systems; Multiprocessor interconnection networks; Parallel algorithms; Riccati equations; Scalability; Symmetric matrices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Parallel Processing Workshops, 2001. International Conference on
Conference_Location :
Valencia
ISSN :
1530-2016
Print_ISBN :
0-7695-1260-7
Type :
conf
DOI :
10.1109/ICPPW.2001.951856
Filename :
951856
Link To Document :
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