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Nonlinear Programming Methods for Real-Time Control of an Industrial Robot

C. Boskens and H. Maurer
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C. Boskens: Universität Bayreuth
H. Maurer: Westfälische Wilhelms Universität

Journal of Optimization Theory and Applications, 2000, vol. 107, issue 3, No 4, 505-527

Abstract: Abstract The optimal control of an industrial robot is considered as a parametricnonlinear control problem subject to control and state constraints. Based onrecent stability results for parametric control problems, a robust nonlinearprogramming method is proposed to compute the sensitivity of open-loopcontrol solutions. Real-time control approximations of the perturbedoptimal solutions are obtained by evaluating first-order Taylor expansionsof the optimal solutions with respect to the parameter. The proposednumerical methods are applied to the industrial robot Manutec r3. Thequality of the real-time approximations is illustrated for perturbations inthe transport load.

Keywords: parametric nonlinear control problems; control and state constraints; sensitivity analysis; open-loop control; real-time control; nonlinear programming methods; robot control (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1026491014283

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