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Design of Robust PID Controllers

Ackermann, J. and Kaesbauer, D. (2001) Design of Robust PID Controllers. Proc. of European Control Conference, ECC, 2001-09-04 - 2001-09-07, Porto.

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Abstract

The family of characteristic polynomials of a SISO-PID loop with N representative plant operating conditions is Pi = Ai(s) (K1 + Kps+KDs2) + Bi(s), i=1,2..N. A basic task of robust control design is to find the set of all parameters K1, Kp, KD, that simultaneously place the roots of all Pi(s) into a specified region in the complex plane. For in form of the left half plane it is know that the simultaneously stabilizing region in the (KD,KI)-plane consists of one or more convex polygons. This fact simplifies the tomograhic rendering of the nonconvex set of all simultaneously stabilizing PID controllers by gridding of Kp. A similar result holds if is the shifted left half plane. In the present paper it is show that the nice geometric property also holds for circles with arbitrary real center and radius. It is further shown, that it cannot hold for any other region.

Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2004,
Title:Design of Robust PID Controllers
Authors:
AuthorsInstitution or Email of Authors
Ackermann, J.UNSPECIFIED
Kaesbauer, D.UNSPECIFIED
Date:2001
Status:Published
Keywords:PID control, robustness, parmeter space
Event Title:Proc. of European Control Conference, ECC
Event Location:Porto
Event Type:international Conference
Event Dates:2001-09-04 - 2001-09-07
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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