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Non-linear control system stability investigation using the circle criterion

Chao-Pao Ho

Abstract

The circle criterion provides a convenient method of testing stability in nonlinear feedback systems. The need for computer computation of the relative stability conditions for the Nyquist plot can be avoided by using a logarithmic gain-phase plot on the Nichols chart. The results of this technique agree within about 1% with those obtained from a computer solution of the Nyquist plot.

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Available abstract

Key concepts: Nyquist stability criterion, Nyquist plot, Circle criterion, Control theory (sociology), Plot (graphics), Logarithm, Chart, Stability (learning theory)