Abstraction-Based Planning for Uncertainty-Aware Legged Navigation

This article addresses the problem of temporal-logic-based planning for bipedal robots in uncertain environments. We first propose an Interval Markov Decision Process abstraction of bipedal locomotion (IMDP-BL). Motion perturbations from multiple sources of uncertainty are incorporated into our mode...

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Main Authors: Jesse Jiang, Samuel Coogan, Ye Zhao
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Open Journal of Control Systems
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10184473/
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author Jesse Jiang
Samuel Coogan
Ye Zhao
author_facet Jesse Jiang
Samuel Coogan
Ye Zhao
author_sort Jesse Jiang
collection DOAJ
description This article addresses the problem of temporal-logic-based planning for bipedal robots in uncertain environments. We first propose an Interval Markov Decision Process abstraction of bipedal locomotion (IMDP-BL). Motion perturbations from multiple sources of uncertainty are incorporated into our model using stacked Gaussian process learning in order to achieve formal guarantees on the behavior of the system. We consider tasks which can be specified using Linear Temporal Logic (LTL). Through a product IMDP construction combining the IMDP-BL of the bipedal robot and a Deterministic Rabin Automaton (DRA) of the specifications, we synthesize control policies which allow the robot to safely traverse the environment, iteratively learning the unknown dynamics until the specifications can be satisfied with satisfactory probability. We demonstrate our methods with simulation case studies.
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spelling doaj.art-ab2042154bb14c78820ba56a5550b8152023-12-21T00:02:12ZengIEEEIEEE Open Journal of Control Systems2694-085X2023-01-01222123410.1109/OJCSYS.2023.329600010184473Abstraction-Based Planning for Uncertainty-Aware Legged NavigationJesse Jiang0https://orcid.org/0000-0002-2279-5233Samuel Coogan1https://orcid.org/0000-0003-0495-1535Ye Zhao2https://orcid.org/0000-0001-6402-5416School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USASchool of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USASchool of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USAThis article addresses the problem of temporal-logic-based planning for bipedal robots in uncertain environments. We first propose an Interval Markov Decision Process abstraction of bipedal locomotion (IMDP-BL). Motion perturbations from multiple sources of uncertainty are incorporated into our model using stacked Gaussian process learning in order to achieve formal guarantees on the behavior of the system. We consider tasks which can be specified using Linear Temporal Logic (LTL). Through a product IMDP construction combining the IMDP-BL of the bipedal robot and a Deterministic Rabin Automaton (DRA) of the specifications, we synthesize control policies which allow the robot to safely traverse the environment, iteratively learning the unknown dynamics until the specifications can be satisfied with satisfactory probability. We demonstrate our methods with simulation case studies.https://ieeexplore.ieee.org/document/10184473/Gaussian process regressionlegged locomotionmarkov processessafe autonomy
spellingShingle Jesse Jiang
Samuel Coogan
Ye Zhao
Abstraction-Based Planning for Uncertainty-Aware Legged Navigation
IEEE Open Journal of Control Systems
Gaussian process regression
legged locomotion
markov processes
safe autonomy
title Abstraction-Based Planning for Uncertainty-Aware Legged Navigation
title_full Abstraction-Based Planning for Uncertainty-Aware Legged Navigation
title_fullStr Abstraction-Based Planning for Uncertainty-Aware Legged Navigation
title_full_unstemmed Abstraction-Based Planning for Uncertainty-Aware Legged Navigation
title_short Abstraction-Based Planning for Uncertainty-Aware Legged Navigation
title_sort abstraction based planning for uncertainty aware legged navigation
topic Gaussian process regression
legged locomotion
markov processes
safe autonomy
url https://ieeexplore.ieee.org/document/10184473/
work_keys_str_mv AT jessejiang abstractionbasedplanningforuncertaintyawareleggednavigation
AT samuelcoogan abstractionbasedplanningforuncertaintyawareleggednavigation
AT yezhao abstractionbasedplanningforuncertaintyawareleggednavigation