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Constrained stochastic optimal control with learned importance sampling: A path integral approach.

Jan Carius1, René Ranftl2, Farbod Farshidian1

  • 1Robotic Systems Lab, ETH Zurich, Switzerland.

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|June 13, 2022
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Summary
This summary is machine-generated.

This study introduces a novel stochastic optimal control algorithm for robust robotic control in unknown environments. The method enhances safety and adaptability by using importance sampling for real-time applications.

Keywords:
Stochastic optimal controlimportance samplingsampling-based planning

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Area of Science:

  • Robotics
  • Control Theory
  • Artificial Intelligence

Background:

  • Modern robots require robust operation in unpredictable environments.
  • Existing control methods struggle with high-dimensional systems and partial uncertainty.
  • Real-time control in unknown scenarios remains a significant challenge.

Purpose of the Study:

  • To propose a novel algorithm for controlling high-dimensional robotic systems in partially unknown environments.
  • To extend stochastic optimal control with constraint-handling capabilities for enhanced robustness.
  • To enable real-time robotic control applications using sampling-based methods.

Main Methods:

  • Utilizes the path integral formulation of stochastic optimal control.
  • Infers optimal control inputs from stochastic system dynamics rollouts simulated via a physics engine.
  • Employs importance sampling and constraint handling to reduce sampling complexity for online control.

Main Results:

  • Demonstrates the feasibility of real-time control applications through effective sampling complexity reduction.
  • Shows that the proposed algorithm provides an additional layer of safety and robustness, even surpassing ancillary controllers.
  • Validates the algorithm's effectiveness on diverse robotic systems, including hardware experiments on a quadrupedal robot.

Conclusions:

  • The developed stochastic control algorithm offers a robust solution for controlling complex robotic systems in challenging environments.
  • The method facilitates both online refinement and offline learning of control policies, enhancing adaptability.
  • This approach significantly advances the capabilities of robotic systems operating under uncertainty.