4.7 Article

Robust Safety-Critical Control for Dynamic Robotics

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 67, Issue 3, Pages 1073-1088

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2021.3059156

Keywords

Uncertainty; Robots; Robust control; Control systems; Stability analysis; Legged locomotion; Lyapunov methods; Optimal control; quadratic programming; robust control; robot control

Funding

  1. USC Viterbi School of Engineering startup funds
  2. National Science Foundation [IIS-1834557]

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In this paper, we propose a novel method of optimal robust control for nonlinear dynamical robotic systems in the presence of model uncertainty. The method offers tracking stability while considering input and state-based constraints as well as safety-critical constraints.
We present a novel method of optimal robust control through quadratic programs that offers tracking stability while subject to input and state-based constraints as well as safety-critical constraints for nonlinear dynamical robotic systems in the presence of model uncertainty. The proposed method formulates robust control Lyapunov and barrier functions to provide guarantees of stability and safety in the presence of model uncertainty. We evaluate our proposed control design on dynamic walking of a five-link planar bipedal robot subject to contact force constraints as well as safety-critical precise foot placements on stepping stones, all while subject to model uncertainty. We conduct preliminary experimental validation of the proposed controller on a rectilinear spring-cart system under different types of model uncertainty and perturbations.

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