Partial stabilisation of large-scale discrete-time linear control systems
by Peter Benner, Maribel Castillo, Enrique S. Quintana-Orti
International Journal of Computational Science and Engineering (IJCSE), Vol. 1, No. 1, 2005

Abstract: We propose a parallel algorithm for stabilising 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 stabilising 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.

Online publication date: Thu, 02-Feb-2006

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