The General Inner-Outer Factorization Problem for Discrete-Time Systems
Oara, C. and Varga, Andras (1999) The General Inner-Outer Factorization Problem for Discrete-Time Systems. In: Proc. of ECC'99. European Control Conference 1999, ECC99, 1999-08-31 - 1999-09-03, Karlsruhe (Germany).
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Abstract
In this paper we give a theoretical and a computational solution to the most general inner-outer factorization problem formulated for a discrete-time system G. Our method is based on descriptor state-space computations and relies on an efficient dislocation of the minimal indices and of the "unstable" zeros of G by left multiplication with all-pass factors. The minimal indices are dislocated by solving for the stabilizing solution an algebraic Riccati equation of order nl (the sum of left minimal indices) while the nb unstable zeros are dislocated by solving a Lyapunov equation of order nb. The results reported here are a nontrivial extension of a recently developed approach to the continuous-time inner-outer factorization problem.
| Document Type: | Conference or Workshop Item (Speech) | ||||||
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| Additional Information: | LIDO-Berichtsjahr=1999, monograph_id=CDROM Paper F1018-8, | ||||||
| Title: | The General Inner-Outer Factorization Problem for Discrete-Time Systems | ||||||
| Authors: |
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| Date: | September 1999 | ||||||
| Journal or Publication Title: | Proc. of ECC'99 | ||||||
| Status: | Published | ||||||
| Keywords: | Linear systems, inner-outer factorization, numerical methods, descriptor realizations | ||||||
| Event Title: | European Control Conference 1999, ECC99 | ||||||
| Event Location: | Karlsruhe (Germany) | ||||||
| Event Type: | international Conference | ||||||
| Event Dates: | 1999-08-31 - 1999-09-03 | ||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||
| HGF - Program: | Aeronautics | ||||||
| HGF - Program Themes: | L - no assignement | ||||||
| DLR - Research area: | Aeronautics | ||||||
| DLR - Program: | L ST - Starrflüglertechnologien | ||||||
| DLR - Research theme (Project): | ["eprint_fieldopt_dlr_project_search_L000" not defined] | ||||||
| Location: | Oberpfaffenhofen | ||||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics | ||||||
| Deposited By: | elib DLR-Beauftragter | ||||||
| Deposited On: | 15 Mar 2006 | ||||||
| Last Modified: | 14 Jan 2010 17:36 |
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