A fuzzy system compensator for backlash

We design a fuzzy system to compensate the delays due to backlash nonlinearity. The fuzzy compensator is constructed from some common-sense rules. We consider the general case of the unknown backlash parameter and develop an adaptation algorithm to estimate the backlash parameter online. We prove that under certain conditions the fuzzy compensator with the adaptation algorithm guarantees that the backlash output converges to the desired trajectory. Simulation and hardware implementation results show that the fuzzy compensator is robust to the estimation errors in the backlash parameters. Application to an industrial CNC machine tool is described