Optimizing Dynamic Trajectories for Robustness to Disturbances Using Polytopic Projections

Published in IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2020

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Recommended citation: H. Ferrolho, W. Merkt, V. Ivan, W. Wolfslag, S. Vijayakumar, "Optimizing Dynamic Trajectories for Robustness to Disturbances Using Polytopic Projections", in 2020 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Las Vegas, USA.

Abstract

This paper focuses on robustness to disturbance forces and uncertain payloads. We present a novel formulation to optimize the robustness of dynamic trajectories. A straightforward transcription of this formulation into a nonlinear programming problem is not tractable for state-of-the-art solvers, but it is possible to overcome this complication by exploiting the structure induced by the kinematics of the robot. The non-trivial transcription proposed allows trajectory optimization frameworks to converge to highly robust dynamic solutions. We demonstrate the results of our approach using a quadruped robot equipped with a manipulator.

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