Trajectory Optimization for Thermally-Actuated Soft Planar Robot Limbs
Anthony Wertz, Andrew P. Sabelhaus, Carmel Majidi

TL;DR
This paper introduces a novel trajectory generation method for thermally-actuated soft robotic limbs, combining simplified modeling, experimental calibration, and optimization to enable complex motions in hardware.
Contribution
It presents the first approach to generate trajectories for thermally-actuated soft robots using a discretized rigid model and direct collocation optimization.
Findings
Simulation aligns well with hardware tests.
Feasible trajectories can be generated from reference paths.
Open-loop control shows promising results.
Abstract
Practical use of robotic manipulators made from soft materials requires generating and executing complex motions. We present the first approach for generating trajectories of a thermally-actuated soft robotic manipulator. Based on simplified approximations of the soft arm and its antagonistic shape-memory alloy actuator coils, we justify a dynamics model of a discretized rigid manipulator with joint torques proportional to wire temperature. Then, we propose a method to calibrate this model from experimental data and demonstrate that the simulation aligns well with a hardware test. Finally, we use a direct collocation optimization with the robot's nonlinear dynamics to generate feasible state-input trajectories from a desired reference. Three experiments validate our approach for a single-segment robot in hardware: first using a hand-derived reference trajectory, then with two…
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