Abstract

The condition absolute stability of the control system the electro magnetoelastic actuator nano displacement for nano research in sciences and the stationary set of this system are obtained. The stationary set of the control system with the hysteresis deformation of the electro magnetoelastic actuator has the form of the segment of the straight line. The aim of this work is to determine the condition on the derivative of the absolute stability for control system of the hysteresis deformation of the electro magnetoelastic actuator for nanotechnology research. The frequency methods for Lyapunov stable control system are used for determined the condition absolute stability of the control system with electro magnetoelastic actuator. In result the condition on the derivative is obtained for the absolute stability of control system with the hysteresis deformation of the electro magnetoelastic actuator nano displacement for nano research in sciences.

Keywords: Condition absolute stability; Control system; Electro magnetoelastic actuator; Stationaryset;Piezo actuator;Nano displacement; Deformation; Hysteresis and butterfly characteristics; Transfer function.