Discrete-time adaptive control of milling forces using fractional order holds by on-line adjustment of the correcting gain

Rubio, Luis and De la Sen, Manuel and Bilbao, Aitor; (2007) Discrete-time adaptive control of milling forces using fractional order holds by on-line adjustment of the correcting gain. In: IEEE International Conference on Control Applications, 2007. IEEE, Piscataway, New Jersey, pp. 1330-1335. ISBN 9781424404421 (https://doi.org/10.1109/CCA.2007.4389420)

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Abstract

Increasing industrial competence suggests to develop and implement more complex control strategies in manufacturing environments for achieving better performance requirements. In this paper, a multi-estimation scheme for adaptive discrete control is applied to a practical milling system in order to minimize process and machine malfunctions. The different models of the scheme to be estimated are obtained from a set of a continuous unknown milling system transfer function under a fractional order hold of correcting gain beta isin [-1,1] (beta -FROH) . The objective is to design a scheme which is able to find the best value for the gain beta within a predetermined set in order to generate the real control input to the plant. A tracking performance index evaluates the tracking error and the scheme chooses the one with the smallest value has at each multiple of the residence time.