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Ionescu, V. and Oara, C. (1998) The Extended Generalized Distance Problem in Discrete Time. Int. J. Robust Nonlinear Control, 8, pp. 523-534. ISSN 1049-8923.
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Abstract
We obtain the class of all solutions to the extended (two block) generalized distance problem for discrete-time systems by employing the so-called 'signature condition' - a generalized Popov theory type argument which parallels the J-spectral factorization approach. The novelty is that we derive explicit state-space formulae in terms of one Riccati and one Lyapunov equation while we remove the usual assumption in the discrete case on the time reversibility (invertibility of the state matrix) of the system to be approximated.
| Item URL in elib: | https://elib.dlr.de/3524/ | |||||||||
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| Document Type: | Article | |||||||||
| Additional Information: | LIDO-Berichtsjahr=1999, | |||||||||
| Title: | The Extended Generalized Distance Problem in Discrete Time | |||||||||
| Authors: |
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| Date: | 1998 | |||||||||
| Journal or Publication Title: | Int. J. Robust Nonlinear Control | |||||||||
| Refereed publication: | Yes | |||||||||
| Open Access: | No | |||||||||
| Gold Open Access: | No | |||||||||
| In SCOPUS: | No | |||||||||
| In ISI Web of Science: | Yes | |||||||||
| Volume: | 8 | |||||||||
| Page Range: | pp. 523-534 | |||||||||
| ISSN: | 1049-8923 | |||||||||
| Status: | Published | |||||||||
| Keywords: | generalized distance problem, Kalman-Yakubovich-Popov theory, discrete-time system, Riccati equation | |||||||||
| HGF - Research field: | Aeronautics, Space and Transport (old) | |||||||||
| HGF - Program: | Space (old) | |||||||||
| HGF - Program Themes: | W SY - Technik für Raumfahrtsysteme | |||||||||
| DLR - Research area: | Space | |||||||||
| DLR - Program: | W SY - Technik für Raumfahrtsysteme | |||||||||
| DLR - Research theme (Project): | W - Weiterentwicklung Robotik - Telerobotik und Autonomie (old) | |||||||||
| Location: | Oberpfaffenhofen | |||||||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics (until 2012) > Robotic Systems | |||||||||
| Deposited By: | DLR-Beauftragter, elib | |||||||||
| Deposited On: | 13 Nov 2007 | |||||||||
| Last Modified: | 06 Jan 2010 16:31 |
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