Prioritized Optimization for Task-Space Control

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Abstract

We introduce an optimization framework called prioritized optimization control, in which a nested sequence of objectives are optimized so as not to conflict with higher-priority objectives. We focus on the case of quadratic objectives and derive an efficient recursive solver for this case. We show how task-space control can be formulated in this framework, and demonstrate the technique on three sample control problems. The proposed formulation supports acceleration, torque, and bilateral force constraints, while simplifying reasoning about task-space control. This scheme unifies prioritized task-space and optimization-based control. Our method computes control torques for all presented examples in real-time.

Paper

Martin de Lasa, Aaron Hertzmann, Prioritized Optimization for Task-Space Control, International Conference on Intelligent Robots and Systems (IROS), St. Louis, MO, Oct. 11-15, 2009. BibTex

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Acknowledgements

This work was supported by: the Canada Foundation for Innovation, the Canadian Institute for Advanced Research, a Microsoft Research New Faculty Fellowship, the National Sciences and Engineering Research Council of Canada, and the Ontario Ministry of Research and Innovation.