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Robustness of Sampled-data Control Systems with Uncertain Physical Plant Parameters

Ackermann, J. and Hu, H. Z. (1991) Robustness of Sampled-data Control Systems with Uncertain Physical Plant Parameters. Automatica, Vol. 27, pp. 705-710. ISSN 0005-1098.

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Abstract

When a linear plant model is discretized for digital control, then uncertain physical plant parameters enter exponentially into the coefficients of the open and closed-loop characteristic polynomials. The resulting robustness problem can be treated in the same "scaled" parameter space as the corresponding continuous-time problem if the plant is physically modelled by ordinary differential equations. Stability regions for both continuous and sampled systems are studied in their common parameter space. It is shown that the real root boundary at s = 0 for the continuous system is identical to the real root boundary at z = 1 for the sampled system. A new real root boundary at z = -1 arises and the complex root boundary is modified by sampling. The computation of these last two parts of the boundary is reduced to a simpler problem by a rational approximation.

Document Type:Article
Additional Information: LIDO-Berichtsjahr=1991,
Title:Robustness of Sampled-data Control Systems with Uncertain Physical Plant Parameters
Authors:
AuthorsInstitution or Email of Authors
Ackermann, J.UNSPECIFIED
Hu, H. Z.UNSPECIFIED
Date:1991
Journal or Publication Title:Automatica
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:Vol. 27
Page Range:pp. 705-710
ISSN:0005-1098
Status:Published
Keywords:Scaleability; sampling uncertain systems; parameter space stability boundaries.
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flexible Aircraft (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > Robotic Systems
Deposited By: elib DLR-Beauftragter
Deposited On:13 Nov 2007
Last Modified:27 Apr 2009 06:47

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