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Stable polyhedra in parameter space

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.

Document Type:Article
Additional Information:LIDO-Berichtsjahr=2003,
Title:Stable polyhedra in parameter space
Authors:
AuthorsInstitution or Email of Authors
Ackermann, J.UNSPECIFIED
Kaesbauer, D.UNSPECIFIED
Date:2003
Journal or Publication Title:Automatica
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 > System Dynamics and Control (former Control Design Engineering)
Deposited By: elib DLR-Beauftragter
Deposited On:12 Nov 2007
Last Modified:12 Dec 2013 20:02

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