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Discrete Time Sliding Mode Control of Milling Chatter

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Advanced Computational Methods for Knowledge Engineering (ICCSAMA 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1121))

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Abstract

The technique of mitigating chatter phenomenon in an effective manner is an important issue from the viewpoint of superior quality machining process with quality production. In this paper, an innovative solution to control chatter vibration actively in the milling process is presented. The mathematical modelling associated with the milling technique is presented in the primary phase of the paper. In this paper, an innovative technique of discrete time sliding mode control (DSMC) is blended with Type 2 fuzzy logic system. Superior mitigation of chatter is the outcome of developed active controller. The Lyapunov scheme is implemented to validate the stability criteria of the proposed controller. The embedded nonlinearity in the cutting forces and damper friction are compensated in an effective manner by the utilization of Type-2 fuzzy technique. The vibration attenuation ability of DSMC-Type-2 fuzzy (DSMC-T2) is compared with the Discrete time PID (D-PID) and DSMC-Type-1 fuzzy (DSMC-T1) for validating the effectiveness of the controller. Finally, the numerical analysis is carried out to validate that DSMC-T2 is superior to D-PID and DSMC-T1 in the minimization of the milling chatter.

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Acknowledgments

This work is carried out within the projects: - Production Centred Maintenance (PCM) for real time predictive maintenance decision support to maximise production efficiency, funded by the Swedish Knowledge Foundation (Stiftelsen för kunskaps- och kompetensutveckling), and - A digital twin to support sustainable and available production as a service (DT-SAPS), funded by Produktion2030, the Strategic innovation programme for sustainable production in Sweden. We gratefully acknowledge the support and funding.

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Authors and Affiliations

  1. School of Science and Technology, Örebro University, Örebro, Sweden

    Satyam Paul & Magnus Löfstrand

Authors
  1. Satyam Paul
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  2. Magnus Löfstrand
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Correspondence to Satyam Paul .

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Editors and Affiliations

  1. Computer Science and Applications Department LGIPM, University of Lorraine, Metz Cedex 03, France

    Hoai An Le Thi

  2. Computer Science and Applications Department LGIPM, University of Lorraine, Metz Cedex 03, France

    Hoai Minh Le

  3. Laboratory of Mathematics, National Institute for Applied Sciences, Saint-Étienne-du-Rouvray Cedex, France

    Tao Pham Dinh

  4. Department of Information Systems, Wroclaw University of Science and Technology, Wrocław, Poland

    Ngoc Thanh Nguyen

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Paul, S., Löfstrand, M. (2020). Discrete Time Sliding Mode Control of Milling Chatter. In: Le Thi, H., Le, H., Pham Dinh, T., Nguyen, N. (eds) Advanced Computational Methods for Knowledge Engineering. ICCSAMA 2019. Advances in Intelligent Systems and Computing, vol 1121. Springer, Cham. https://doi.org/10.1007/978-3-030-38364-0_34

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