2014 IEEE International Conference on Robotics and Automation (ICRA) 2014
DOI: 10.1109/icra.2014.6907076
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Towards integrated OR/CP energy optimization for robot cells

Abstract: This paper concerns the energy optimization of systems with interacting robots. Pseudo spectral optimal control is used to collocate the continuous time dynamics of each robot. The resulting model is a multi stage, multi robot, trajectory planning problem with timing constraints. In the case of a given task sequence, the mathematical formulation is that of a Nonlinear Programming problem. We present two example problems where three 3-DoF robots work together. For the case the problem consists of undetermined s… Show more

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Cited by 4 publications
(3 citation statements)
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References 19 publications
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“…Borgstrom et al [6] optimize the path of a cabled robotic system considering constraints on total energy consumption. More recently, Wigstrom and Lennartson [27] approaches the problem of minimizing the energy consumption of a system composed of multiple interacting robots, whose tasks may be coupled by timing constraints. The authors propose an algorithm to solve the resulting nonlinear programming problem and demonstrate it for two examples that use 3 DOF manipulators.…”
Section: Related Workmentioning
confidence: 99%
“…Borgstrom et al [6] optimize the path of a cabled robotic system considering constraints on total energy consumption. More recently, Wigstrom and Lennartson [27] approaches the problem of minimizing the energy consumption of a system composed of multiple interacting robots, whose tasks may be coupled by timing constraints. The authors propose an algorithm to solve the resulting nonlinear programming problem and demonstrate it for two examples that use 3 DOF manipulators.…”
Section: Related Workmentioning
confidence: 99%
“…For example, Sieber et al [44] formulate an LQR-like optimal control problem designed to move a formation of mobile robots to a goal while minimizing input energy and incorporating a provision for formation rigidity into the cost functional. Similarly, Wigstrom and Lennartson [45] generated trajectories that reduce energy consumption using pseudo-spectral optimal control, though paths are considered free. Coverage algorithms such as [40,46] also implement energy conservation constraints while maximizing the reach of mobile robot networks and sensing.…”
Section: Introductionmentioning
confidence: 99%
“…The key idea is to utilize CP in order to reduce the number of nodes, and in doing so, the number of NLP sub-problems. It was suggested in Wigström and Lennartson (2014) that the algorithm may be extended to include continuous dynamics. In optimal control problems, collocation is a common approach used to approximate continuous dynamics Benson (2005).…”
Section: Introductionmentioning
confidence: 99%