Transient Response of Second Order Relay Servomechanism

Abstract

An exact solution in mathematical sense for the transient response of a second order relay servomechanism is obtained. By applying the succession function method, the condition for the system to have a cycle is given and the proof that this cycle is a limit cycle is established. Based on this proof an algorithm and a chart to calculate the period and the amplitude of the cycle are constructed. Moreover, the approximate periodic solution obtained by the describing function method is also studied.