Speed-Gradient Control of Passing through Resonance in One- and Two-Dimensional Motion

Authors:	Tomchin Dmitry, Institute for Problems of Mechanical Engineering, Russian Federation Tomchina Olga, St.Petersburg Machine Building Institute, Russian Federation Fradkov Alexander, Institute for Problems of Mechanical Engineering, Russian Federation
Topic:	2.3 Non-Linear Control Systems
Session:	Nonlinear Control in Physics and Mechanics
Keywords:	oscillations, nonlinear control, speed-gradient method

Abstract

An approach to control of passing through resonance zone based on speed-gradient energy control of two subsystems (rotor and support) is presented. Two typical problems of passing through resonance for one- and two-dimensional motion of support are posed and analyzed by computer simulation. The control algorithms based on speed-gradient method and averaging allow to significantly reduce the required level of the controlling torque. The algorithms have small number of design parameters. Compared with the known algorithms the proposed ones are more simple for design and exhibit stronger robustness properties.