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A numerically reliable approach to robust pole assignment for descriptor systems

Varga, Andras (2003) A numerically reliable approach to robust pole assignment for descriptor systems. Future Generation Computer Systems, 19, pp. 1221-1230.

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Abstract

We propose a general, numerically reliable computational approach to solve the pole and eigenstructure assignment problem for descriptor systems. In the multi-input case, the proposed approach addresses the intrinsic non-uniqueness of the pole assignment problem solution by simultaneously minimizing the sensitivity of the feedback gain and of closed-loop eigenvalues. For this purpose, a minimum norm robust pole assignment problem is formulated and solved as an unconstrained minimization problem for a suitably chosen cost function. By using a generalized Sylvester equation-based parameterization, an explicit expression of the gradient of the cost function is derived to allow the efficient solution of the minimization problem by using powerful gradient search-based minimization techniques.

Document Type:Article
Additional Information:LIDO-Berichtsjahr=2003,
Title:A numerically reliable approach to robust pole assignment for descriptor systems
Authors:
AuthorsInstitution or Email of Authors
Varga, AndrasUNSPECIFIED
Date:August 2003
Journal or Publication Title:Future Generation Computer Systems
Volume:19
Page Range:pp. 1221-1230
Status:Published
Keywords:Descriptor systems; Pole assignment; Numerical methods
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics
Deposited By: elib DLR-Beauftragter
Deposited On:20 Sep 2007
Last Modified:12 Dec 2013 20:02

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