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The Extended Generalized Distance Problem in Discrete Time

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/
Document Type:Article
Additional Information: LIDO-Berichtsjahr=1999,
Title:The Extended Generalized Distance Problem in Discrete Time
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Ionescu, V.UNSPECIFIEDUNSPECIFIED
Oara, C.UNSPECIFIEDUNSPECIFIED
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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