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Motion Control by ZV Shaper Synthesis Extended for Fractional Systems and Its Application to CRONE Control

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Abstract

Shaping command input or preshaping is used for reducing system oscillation in motion control. Desired systems inputs are altered so that the system finishes the requested move without residual oscillation. This technique, developed by N.C. Singer and W.P. Seering, is used for example in the aerospace field, in particular in flexible structure control. This paper presents the study of ZV shaper for explicit fractional derivative systems (generalized derivative systems). A robustness study of ZV shaper is then presented and applied to improve second generation CRONE control response time. Results from simulation and from a DC motor bench are also given.

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Authors and Affiliations

  1. LAP-UMR 5131 CNRS, Université Bordeaux 1-ENSEIRB, 351 Cours de la Libération, 33405, Talence Cedex, France

    P. Melchior, A. Poty & A. Oustaloup

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  1. P. Melchior
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  2. A. Poty
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  3. A. Oustaloup
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Correspondence to P. Melchior.

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Melchior, P., Poty, A. & Oustaloup, A. Motion Control by ZV Shaper Synthesis Extended for Fractional Systems and Its Application to CRONE Control. Nonlinear Dyn 38, 401–416 (2004). https://doi.org/10.1007/s11071-004-3769-1

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  • DOI: https://doi.org/10.1007/s11071-004-3769-1

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