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Optimal Control for a Wire-Based Storage Retrieval Machine

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New Trends in Mechanism and Machine Science

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 7))

Abstract

Wire-based Stewart-Gough platforms are known to allow fast movements of the end-effector. But as for every robotic system, their performance and energy efficiency can be optimized by the generation of end-effector trajectories suited for that particular robot type. In this contribution the optimal control strategy is applied on an innovative wire-based storage-retrieval machine in order to design time, power and energy optimal trajectories.

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Notes

  1. 1.

    Defined as the time to move the platform from the input/output point to a storage position and back.

  2. 2.

    Defined as the time to move the platform from the input/output point to a storage position, to another storage position and back to the input/output point.

  3. 3.

    Point-To-Point.

  4. 4.

    It means that the trajectory is continuously differentiable up to its third derivative, i.e. the platform jerk.

  5. 5.

    Since Eq. (1) is underdetermined f may be solved by a quadratic optimization algorithm subject to f { min} ≤ f ≤ f { max}.

  6. 6.

    These factors extremely differ due to the involved physical units where time is given in seconds and power in Watt.

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Correspondence to W. Lalo .

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Lalo, W., Bruckmann, T., Schramm, D. (2013). Optimal Control for a Wire-Based Storage Retrieval Machine. In: Viadero, F., Ceccarelli, M. (eds) New Trends in Mechanism and Machine Science. Mechanisms and Machine Science, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4902-3_66

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  • DOI: https://doi.org/10.1007/978-94-007-4902-3_66

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-4901-6

  • Online ISBN: 978-94-007-4902-3

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