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Discrete-Time Robust PID and Three-Term Control

Ackermann, J. and Kaesbauer, D. and Bajcinca, N. (2002) Discrete-Time Robust PID and Three-Term Control. Proc. of 15th IFAC World Congress b'02, 2002-07-21 - 2002-07-26, Barcelona.

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Abstract

It has been shown, that stability regions for PID-controllers in a (KD, KI)-plane for fixed Kp are convex polygons. This result allows a simple calculation of the set of all stabilizing PID controllers for a given plant. In the present paper this result is transfered to the case of discrete-time PID controllers or three-term controllers, where stability with respect to the unit circle or other circles in the z-plane must be checked. Since the orientation of the cross section planes for polygonial stability regions does not depend on the plant, it is easy to find the set of all simultaneous stabilizers for several representative plant parameters and to select a robust discrete-time controller from this set. A benchmark problem for digital robust control is used to illustrate the method

Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2002,
Title:Discrete-Time Robust PID and Three-Term Control
Authors:
AuthorsInstitution or Email of Authors
Ackermann, J.UNSPECIFIED
Kaesbauer, D.UNSPECIFIED
Bajcinca, N.UNSPECIFIED
Date:2002
Status:Published
Keywords:Singular Frequencies, PID, Three-Term Control, Robust Control, Discrete-Time Control
Event Title:Proc. of 15th IFAC World Congress b'02
Event Location:Barcelona
Event Type:international Conference
Event Dates:2002-07-21 - 2002-07-26
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 - Flexible Aircraft (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics
Deposited By: elib DLR-Beauftragter
Deposited On:16 Sep 2005
Last Modified:12 Dec 2013 20:02

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