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2018 | OriginalPaper | Buchkapitel

Real-Time Computation of Inexact Minimum-Energy Trajectories Using Parametric Sensitivities

verfasst von : Alexander Reiter, Hubert Gattringer, Andreas Müller

Erschienen in: Advances in Service and Industrial Robotics

Verlag: Springer International Publishing

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Abstract

The exact solution of practical trajectory optimization problems are usually not feasible in real time. The use of approximate solutions deduced form a nominal optimal solution is a potential alternative. This requires evaluation of parametric sensitivities of the nominal solution in real time. This is addressed in this paper. Improvements to existing methods are introduced that not only increase their efficiency but also ensure the constraint satisfaction of the approximation. The proposed methods are applied to a practical trajectory planning problem for a planar manipulator where the initial state is given but the final state is unknown prior to task execution.

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Literatur
1.
Zurück zum Zitat Bock HG, Plitt KJ (1984) A multiple shooting algorithm for direct solution of optimal control problems. In: Proceedings of the IFAC world congress. Pergamon Press, pp 242–247 Bock HG, Plitt KJ (1984) A multiple shooting algorithm for direct solution of optimal control problems. In: Proceedings of the IFAC world congress. Pergamon Press, pp 242–247
2.
Zurück zum Zitat Andersson J (2013) A general-purpose software framework for dynamic optimization. Ph.D. thesis, Arenberg Doctoral School, KU Leuven Andersson J (2013) A general-purpose software framework for dynamic optimization. Ph.D. thesis, Arenberg Doctoral School, KU Leuven
3.
Zurück zum Zitat Büskens C, Maurer H (2001) Sensitivity analysis and real-time optimization of parametric nonlinear programming problems. In: Online optimization of large scale systems. Springer, pp 3–16 Büskens C, Maurer H (2001) Sensitivity analysis and real-time optimization of parametric nonlinear programming problems. In: Online optimization of large scale systems. Springer, pp 3–16
4.
Zurück zum Zitat Büskens C (2001) Real-time solutions for perturbed optimal control problems by a mixed open-and closed-loop strategy. In: Online optimization of large scale systems. Springer, pp 105–116 Büskens C (2001) Real-time solutions for perturbed optimal control problems by a mixed open-and closed-loop strategy. In: Online optimization of large scale systems. Springer, pp 105–116
5.
Zurück zum Zitat Büskens C, Maurer H (2001) Real-time control of an industrial robot under control and state constraints. In: Online optimization of large scale systems. Springer, pp 83–92 Büskens C, Maurer H (2001) Real-time control of an industrial robot under control and state constraints. In: Online optimization of large scale systems. Springer, pp 83–92
6.
Zurück zum Zitat Springer K, Gattringer H, Stöger C (2014) A real-time nearly time-optimal point-to-point trajectory planning method using dynamic movement primitives. In: Proceedings of the 23rd international conference on robotics in Alpe-Adria-Danube Region (RAAD) 2014. IEEE Springer K, Gattringer H, Stöger C (2014) A real-time nearly time-optimal point-to-point trajectory planning method using dynamic movement primitives. In: Proceedings of the 23rd international conference on robotics in Alpe-Adria-Danube Region (RAAD) 2014. IEEE
7.
Zurück zum Zitat Ude A, Gams A, Asfour T, Morimoto J (2010) Task-specific generalization of discrete and periodic dynamic movement primitives. IEEE Trans Robot 26(5):800–815CrossRef Ude A, Gams A, Asfour T, Morimoto J (2010) Task-specific generalization of discrete and periodic dynamic movement primitives. IEEE Trans Robot 26(5):800–815CrossRef
Metadaten
Titel
Real-Time Computation of Inexact Minimum-Energy Trajectories Using Parametric Sensitivities
verfasst von
Alexander Reiter
Hubert Gattringer
Andreas Müller
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-61276-8_20

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