Extending a Dynamic Friction Model with Nonlinear Viscous and Thermal Dependency for a Motor and Harmonic Drive Gear

In robotic actuation a well identified and modeled friction behavior of the actuator components helps to significantly improve friction compensation, output torque estimation, and dynamic simulations. The friction of two components, i.e. a brush-less DC motor and a harmonic drive gear (HD) is investigated in order to build an accurate dynamic model of the main actuator of the arms of the humanoid David namely the DLR Floating Spring Joint (FSJ). A dedicated testbed is built to precisely identify input and output torques, temperatures, positions, and elasticities of the investigated components at a controlled environment temperature. Extensive test series are performed in the full velocity operating range in a temperature interval from 24 to 50 °C. The nonlinear influences of velocity and temperature are identified to be dominant effects. It is proposed how to include these nonlinear velocity and temperature dependencies into a static and a dynamic friction model, e.g. LuGre. Dynamic models of the motor and HD are built with the proposed method and experimentally evaluated. The new models are compared to friction models with linear dependencies and show a significant improvement of correspondence with reality.