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Robust and minimum norm pole assignment with periodic state feedback

Varga, A. (1998) Robust and minimum norm pole assignment with periodic state feedback. In: Proc. of the 37th IEEE Conference on Decision and Control, 4, pp. 3837-3842. CDC '98, 1998-12-16 - 1998-12-18, Tampa, Florida.

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Abstract

A computational approach is proposed to solve the minimum norm and/or robust pole assignment problem for linear periodic discrete-time systems. The proposed approach uses a periodic Sylvester equation based parametrization of the periodic pole assignment problem and exploits the non-uniqueness of the problem by imposing conditions on the norm of the resulting periodic state feedback and/or on the condition numbers of the periodic eigenvector matrices of the closed-loop system. The solution method relies on using gradient search methods on suitably defined cost functions. Explicit expression of the gradients of cost functions are derived and the efficient evaluation of the cost functions and gradients is discussed. Numerical examples illustrate the effectiveness of the proposed approach.

Item URL in elib:https://elib.dlr.de/3480/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=1999,
Title:Robust and minimum norm pole assignment with periodic state feedback
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, A.UNSPECIFIEDUNSPECIFIED
Date:1998
Journal or Publication Title:Proc. of the 37th IEEE Conference on Decision and Control
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:4
Page Range:pp. 3837-3842
Status:Published
Keywords:Periodic systems, discrete-time systems, robust pole assignment, numerical methods
Event Title:CDC '98
Event Location:Tampa, Florida
Event Type:international Conference
Event Dates:1998-12-16 - 1998-12-18
Organizer:IEEE Control Systems Society
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > Institut für Robotik und Systemdynamik
Deposited By: DLR-Beauftragter, elib
Deposited On:01 Oct 2007
Last Modified:31 Jul 2019 19:14

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