Ackermann, J. and Kaesbauer, D. (2003) Stable polyhedra in parameter space. Automatica, 39, pp. 937-943.
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Abstract
A typical uncertainty structure of a characteristic polynomial is P(s) = A(s) * Q(s) + B(s) with A(s) and B(s) fixed and Q(s) uncertain. In robust controller design Q(s) may be a controller numerator or denominator polynomial; an example is the PID controller with Q(s) = KI + KP(s) + KD (s*s) . In robustness analysis Q(s) may describe a plant uncertainty. For fixed imaginary part of Q(j*omega), it is shown that Hurwitz stability boundaries in the parameter space of the even part of Q(j*omega) are hyperplanes and the stability regions are convex polyhedra. A dual result holds for fixed real part of Q(j*omega) . Also sigma -stability with the real parts of all roots of P(s) smaller than sigma is treated.
Item URL in elib: | https://elib.dlr.de/11891/ | |||||||||
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Document Type: | Article | |||||||||
Additional Information: | LIDO-Berichtsjahr=2003, | |||||||||
Title: | Stable polyhedra in parameter space | |||||||||
Authors: |
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Date: | 2003 | |||||||||
Journal or Publication Title: | Automatica | |||||||||
Open Access: | Yes | |||||||||
Gold Open Access: | No | |||||||||
In SCOPUS: | No | |||||||||
In ISI Web of Science: | No | |||||||||
Volume: | 39 | |||||||||
Page Range: | pp. 937-943 | |||||||||
Status: | Published | |||||||||
Keywords: | PID control, Robustness, Parameter space | |||||||||
HGF - Research field: | Aeronautics, Space and Transport | |||||||||
HGF - Program: | Transport | |||||||||
HGF - Program Themes: | V SH - Verbesserung der Sicherheit im Verkehr (old) | |||||||||
DLR - Research area: | Transport | |||||||||
DLR - Program: | V SH - Verbesserung der Sicherheit im Verkehr | |||||||||
DLR - Research theme (Project): | V - ViFa (old) | |||||||||
Location: | Oberpfaffenhofen | |||||||||
Institutes and Institutions: | Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering) | |||||||||
Deposited By: | DLR-Beauftragter, elib | |||||||||
Deposited On: | 12 Nov 2007 | |||||||||
Last Modified: | 31 Jul 2019 19:15 |
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