Abstract
This paper presents a graphical technique for determining the existence of limit cycles in single-loop feedback systems. The method is based upon the open-loop frequency response data of the individual elements, and is applicable to systems containing any number of single-valued, symmetric nonlinearities, separated by low-pass linear elements. The approach presented has the advantage of decoupling the effects of the non-linearities which allows us to study separately the effects of each nonlinear element on the overall system. In addition, a criterion is derived which relates the slopes of the input-output curves of the nonlinearities (or the slopes of their describing functions) to the stability of the oscillations. Two examples with analog computer simulations are given.
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