Adaptive friction compensation using the GMS model with polynomial stribeck function

An adaptive friction compensator is proposed using the generalized Maxwell-slip (GMS) friction model, with a new, linearly-parameterized Stribeck function. It employs a polynomial equation that is linear-in-the-parameter to describe the nonlinear Stribeck effect in the GMS model, and simplifies the design of an adaptive friction compensator. The proposed compensator has a switching structure to accommodate for the hybrid nature of the GMS model, and the parameter projection method is used to guarantee a boundedness on parameter estimates and stability of the switching adaptive controller. The validity and effectiveness of the proposed, linearly-parameterized friction compensator is verified by simulations for the velocity control of an inertia system under the influence of dynamic friction