1969•IEEE Transactions on Automatic ControlRequires access

Limit cycle determination for instrument servomechanism with backlash

Jon Marstrander, R. E. Lueg

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.

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Key concepts: Backlash, Servomechanism, Control theory (sociology), Limit (mathematics), Limit cycle, Line (geometry), Amplitude, Phase (matter)