Limit cycle determination for instrument servomechanism with backlash

A direct method for finding the limit cycle amplitude of a second-order servomechanism with backlash by construction of a critical takeup line on the phase plane is described. Intersections of this line with the backlash takeup line indicate the existence of limit cycles. The method requires a minim...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1969-12, Vol.14 (6), p.756-757
Main Authors: Marstrander, J., Lueg, R.
Format: Article
Language:English
Subjects:
Analytical models
Control systems
Differential equations
Filtering
Friction
Gears
Instruments
Limit-cycles
Servomechanisms
Shafts
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Description
Summary:A direct method for finding the limit cycle amplitude of a second-order servomechanism with backlash by construction of a critical takeup line on the phase plane is described. Intersections of this line with the backlash takeup line indicate the existence of limit cycles. The method requires a minimum of effort, and the results are accurate to within the usual limitations of graphical analysis.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1969.1099322