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Robust and Minimum Norm Pole Assignment with Periodic State Feedback

Varga, A. (2000) Robust and Minimum Norm Pole Assignment with Periodic State Feedback. IEEE Transactions on Automatic Control, 45 (5), pp. 1017-1022.

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A computational approach is proposed to solve the minimum norm 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 nonuniqueness of the problem by imposing conditions on the norm of the resulting periodic state feedback 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.

Document Type:Article
Additional Information:LIDO-Berichtsjahr=2001,
Title:Robust and Minimum Norm Pole Assignment with Periodic State Feedback
AuthorsInstitution or Email of Authors
Journal or Publication Title:IEEE Transactions on Automatic Control
Page Range:pp. 1017-1022
Keywords:discrete-time systems, numerical methods, periodic systems, robust pole assignment
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignement
DLR - Research theme (Project):L -- no assignement
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics
Deposited By: elib DLR-Beauftragter
Deposited On:24 Sep 2007
Last Modified:12 Dec 2013 20:01

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