Abstract
Optimal rigid body angular motions are investigated in the absence of direct control over one of the angular velocity components, via an approximate dynamic model. An analysis of first-order necessary conditions for optimality with the proposed model reveals that, over a large range of boundary conditions, there are, in general, several distinct extremal solutions. A classification in terms of subfamilies of extremal solutions is presented. Second-order necessary conditions are investigated to establish local optimality for the candidate minimizers.
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Communicated by D. G. Hull
This work was supported in part by DARPA Contract No. ACMP-F49620-87-C-0116 and by Air Force Grant AFOSR-89-0001.
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Chowdhry, R.S., Ben-Asher, J.Z. & Cliff, E.M. Optimal rigid body motions, part 1: Approximate formulation. J Optim Theory Appl 70, 57–78 (1991). https://doi.org/10.1007/BF00940504
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DOI: https://doi.org/10.1007/BF00940504