Steady State Evolution in a Relay Control Circuit with a Digital Controller

The paper is concerned wit a second order relay control system with two integrators, containing a digital controller and quantizinn the signals in time and amplitude. The method of point mappings is used to study steady-state processes. It is shown that the sole possible stationary evolutions in the system is a continuum of simple (with two switchings of control over a period) periodic evolutions. The relation, between parameters of periodic evolutions and basic system parameters is found.