ABSTRACT
This chapter discusses the basic background material required to understand the application of the Tsypkin method and describes a computer program developed to assist in applying the method, which involves the solution of one or more nonlinear algebraic equations. The reason for this is that the only general approach to the study of nonlinear systems is simulation and this is the only nonlinear facility contained in commercially available computer-aided control system design software. The limit cycle solution waveform is displayed and this enables the user to check that the relay switching levels are not crossed at other than the assumed times, thus verifying the correctness of the solution. The normal situation is that the number of nonlinear algebraic equations to be solved doubles when one considers the possibility of asymmetrical oscillations. As outlined in the theory, the only other difference is that the A loci stored series for all harmonics must be used in the software.
