Abstract
The quality of products from a machine tool system is largely determined by the tolerances maintained, which is a function of how well the desired contour is tracked. To mitigate contour errors in a three-axis machine tool feed drive system, the control development in this paper is based on an error system that is transformed into tangential, normal, and binormal components to the desired contour (i.e., a cross-coupling controller (CCC)). Unlike previous CCCs, the controller developed in this paper does not assume exact knowledge of the inertia and friction matrices. Specifically, an adaptive estimate is developed to compensate for uncertain friction and inertial parameters. Lyapunov-based methods are used to craft the adaptive estimate and to prove global asymptotic contour tracking. Experimental results of the proposed controller on the x–y-axes of the high speed milling machine showed improvement of the contouring accuracy compared to proportional-derivative controller and a benchmark CCC.
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Lee, J., Dixon, W.E. & Ziegert, J.C. Adaptive nonlinear contour coupling control for a machine tool system. Int J Adv Manuf Technol 61, 1057–1065 (2012). https://doi.org/10.1007/s00170-011-3760-1
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DOI: https://doi.org/10.1007/s00170-011-3760-1