Title :
Limit cycle determination for instrument servomechanism with backlash
Author_Institution :
University of Alabama, Birmingham, AL, USA
fDate :
12/1/1969 12:00:00 AM
Abstract :
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.
Keywords :
Instrument servomechanisms; Limit cycles; Analytical models; Control systems; Differential equations; Filtering; Friction; Gears; Instruments; Limit-cycles; Servomechanisms; Shafts;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1969.1099322
