Synthesis of the relay-linear controlwith the hysteresis region for the second order object example

摘要

The purpose of this work is a relay-linear control synthesis with using of a hysteresis region,that contains a switching surface and is build with piecewise linear approximation of the switching surface.An application of the hysteresis region together with linear control region allows to avoid sliding mode.A second order object is discussed for better visual presentation of many geometrical concepts that are used in relay-linear control theory.