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Two Proofs on Max-Min-Max Principle of Jerk Control in Time-Optimal Rectilinear Motion

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Abstract

This paper provides two proofs to the well-known principle of max-min-max jerk control in time-optimal jerk-controlled rectilinear motion, whose proof seems to be missing in the literature. One proof is constructive in that it computes and finds out the solution; the other is a disproof in that it shows all other control schemes lead to longer motion time. The ideas employed in the proofs may be used to solve the same kind of problems in a more general setting.

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Authors and Affiliations

  1. KLMM, AMSS & NCMIS, Chinese Academy of Sciences, Beijing, 100190, China

    Hongbo Li & Lixian Zhang

Authors
  1. Hongbo Li
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  2. Lixian Zhang
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Correspondence to Hongbo Li.

Additional information

This work was partially supported by Program 2011CB302404, NSFC 10925105, 60821002/F02.

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Li, H., Zhang, L. Two Proofs on Max-Min-Max Principle of Jerk Control in Time-Optimal Rectilinear Motion. Math.Comput.Sci. 7, 229–236 (2013). https://doi.org/10.1007/s11786-012-0128-3

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  • DOI: https://doi.org/10.1007/s11786-012-0128-3

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