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Stability Analysis of Asymmetric Self-Oscillations in Relay Systems

The method of analyzing the stability of self-oscillations in relay systems allows us to investigate their stability in the case of an analytical description of the oscillations. Relay systems are widely used in various fields of technology because of the ease of implementation and speed control. In contrast to the known methods of analytic description of self-oscillations, the new method developed by the authors allows to investigate complex cases that have not previously been analyzed, for example, an integrator or aperiodic link in the linear part of the system, and also removes restrictions on the continuity of the impulse response of the system. Another advantage of the method is the relative ease of implementation. A comparative evaluation of the results of the analytical calculation of self-oscillations and stability analysis for symmetric self-oscillations with repetitions after half a period and asymmetrical with repetitions through a period is carried out.