Robustifying Model-Based Locomotion by Zero-order Stochastic Nonlinear Model Predictive Control with Guard Saltation Matrix

Fuente: arXiv
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Main Authors: Katayama, Sotaro, Takasugi, Noriaki, Kaneko, Mitsuhisa, Nagatsuka, Norio, Kinoshita, and Masaya
Format: Preprint
Published: 2024
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author Katayama, Sotaro
Takasugi, Noriaki
Kaneko, Mitsuhisa
Nagatsuka, Norio
Kinoshita, and Masaya
author_facet Katayama, Sotaro
Takasugi, Noriaki
Kaneko, Mitsuhisa
Nagatsuka, Norio
Kinoshita, and Masaya
contents This paper presents a stochastic/robust nonlinear model predictive control (NMPC) to enhance the robustness of model-based legged locomotion against contact uncertainties. We integrate the contact uncertainties into the covariance propagation of stochastic/robust NMPC framework by leveraging the guard saltation matrix and an extended Kalman filter-like covariance update. We achieve fast stochastic/robust NMPC computation by utilizing the zero-order algorithm with additional improvements in computational efficiency concerning the feedback gains. We conducted numerical experiments and demonstrate that the proposed method can accurately forecast future state covariance and generate trajectories that satisfies constraints even in the presence of the contact uncertainties. Hardware experiments on the perceptive locomotion of a wheeled-legged robot were also carried out, validating the feasibility of the proposed method in a real-world system with limited on-board computation.
format Preprint
id arxiv_https___arxiv_org_abs_2403_14159
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Robustifying Model-Based Locomotion by Zero-order Stochastic Nonlinear Model Predictive Control with Guard Saltation Matrix
Katayama, Sotaro
Takasugi, Noriaki
Kaneko, Mitsuhisa
Nagatsuka, Norio
Kinoshita, and Masaya
Robotics
Optimization and Control
This paper presents a stochastic/robust nonlinear model predictive control (NMPC) to enhance the robustness of model-based legged locomotion against contact uncertainties. We integrate the contact uncertainties into the covariance propagation of stochastic/robust NMPC framework by leveraging the guard saltation matrix and an extended Kalman filter-like covariance update. We achieve fast stochastic/robust NMPC computation by utilizing the zero-order algorithm with additional improvements in computational efficiency concerning the feedback gains. We conducted numerical experiments and demonstrate that the proposed method can accurately forecast future state covariance and generate trajectories that satisfies constraints even in the presence of the contact uncertainties. Hardware experiments on the perceptive locomotion of a wheeled-legged robot were also carried out, validating the feasibility of the proposed method in a real-world system with limited on-board computation.
title Robustifying Model-Based Locomotion by Zero-order Stochastic Nonlinear Model Predictive Control with Guard Saltation Matrix
topic Robotics
Optimization and Control
url https://arxiv.org/abs/2403.14159