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3. Free-running nonlinear servo systems: stability study
Consider the loop system shown in figure 21 , where N (X ) is the equivalent complex gain of a separable nonlinearity and L (p ) is the transfer function of a low-pass filter.
Let's study stability in free (or autonomous) operation, i.e. with zero input.
Let x be the non-linearity input.
The necessary condition for self-oscillation in this loop is cancellation of the denominator of the closed-loop transfer function.
The characteristic equation :
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Free-running nonlinear servo systems: stability study
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