'Institute of Electrical and Electronics Engineers (IEEE)'
Abstract
In this paper a hybrid system approach is considered to deal with backlash and
friction induced nonlinearities in mechanical control systems. To describe the low velocity
frictional behaviour a linearized friction model is proposed. The novelty of this study is that
based on the introduced friction model, the stability theorems developed for hybrid systems can
directly be applied for controller design of mechanical systems in the presence of Stribeck friction
and backlash. During the controller design it is assumed that the size of the backlash gap is
unknown and the load side position and velocity cannot be measured. For motion control an LQ
controller is applied. A condition is formulated for the control law parameters to guarantee the
asymptotic stability of the control system. Simulation measurements were performed to confirm
the theoretical results
