Self-Stabilising Quadrupedal Running by Mechanical Design

Dynamic stability allows running animals to maintain preferred speed during locomotion over rough terrain. It appears that rapid disturbance rejection is an emergent property of the mechanical system. In running robots, simple motor control seems to be effective in the negotiation of rough terrain w...

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Main Authors: Panagiotis Chatzakos, Evangelos Papadopoulos
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Applied Bionics and Biomechanics
Online Access:http://dx.doi.org/10.1080/11762320902863908
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author Panagiotis Chatzakos
Evangelos Papadopoulos
author_facet Panagiotis Chatzakos
Evangelos Papadopoulos
author_sort Panagiotis Chatzakos
collection DOAJ
description Dynamic stability allows running animals to maintain preferred speed during locomotion over rough terrain. It appears that rapid disturbance rejection is an emergent property of the mechanical system. In running robots, simple motor control seems to be effective in the negotiation of rough terrain when used in concert with a mechanical system that stabilises passively. Spring-like legs are a means for providing self-stabilising characteristics against external perturbations. In this paper, we show that a quadruped robot could be able to perform self-stable running behaviour in significantly broader ranges of forward speed and pitch rate with a suitable mechanical design, which is not limited to choosing legs spring stiffness only. The results presented here are derived by studying the stability of the passive dynamics of a quadruped robot running in the sagittal plane in a dimensionless context and might explain the success of simple, open loop running controllers on existing experimental quadruped robots. These can be summarised in (a) the self-stabilised behaviour of a quadruped robot for a particular gait is greatly related to the magnitude of its dimensionless body inertia, (b) the values of hip separation, normalised to rest leg length, and leg relative stiffness of a quadruped robot affect the stability of its motion and should be in inverse proportion to its dimensionless body inertia, and (c) the self-stable regime of quadruped running robots is enlarged at relatively high forward speeds. We anticipate the proposed guidelines to assist in the design of new, and modifications of existing, quadruped robots. As an example, specific design changes for the Scout II quadruped robot that might improve its performance are proposed.
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spelling doaj-art-a3b5de439ea54570a4dec27364c853692025-02-03T06:46:26ZengWileyApplied Bionics and Biomechanics1176-23221754-21032009-01-0161738510.1080/11762320902863908Self-Stabilising Quadrupedal Running by Mechanical DesignPanagiotis Chatzakos0Evangelos Papadopoulos1Department of Mechanical Engineering, National Technical University of Athens, Athens, GreeceDepartment of Mechanical Engineering, National Technical University of Athens, Athens, GreeceDynamic stability allows running animals to maintain preferred speed during locomotion over rough terrain. It appears that rapid disturbance rejection is an emergent property of the mechanical system. In running robots, simple motor control seems to be effective in the negotiation of rough terrain when used in concert with a mechanical system that stabilises passively. Spring-like legs are a means for providing self-stabilising characteristics against external perturbations. In this paper, we show that a quadruped robot could be able to perform self-stable running behaviour in significantly broader ranges of forward speed and pitch rate with a suitable mechanical design, which is not limited to choosing legs spring stiffness only. The results presented here are derived by studying the stability of the passive dynamics of a quadruped robot running in the sagittal plane in a dimensionless context and might explain the success of simple, open loop running controllers on existing experimental quadruped robots. These can be summarised in (a) the self-stabilised behaviour of a quadruped robot for a particular gait is greatly related to the magnitude of its dimensionless body inertia, (b) the values of hip separation, normalised to rest leg length, and leg relative stiffness of a quadruped robot affect the stability of its motion and should be in inverse proportion to its dimensionless body inertia, and (c) the self-stable regime of quadruped running robots is enlarged at relatively high forward speeds. We anticipate the proposed guidelines to assist in the design of new, and modifications of existing, quadruped robots. As an example, specific design changes for the Scout II quadruped robot that might improve its performance are proposed.http://dx.doi.org/10.1080/11762320902863908
spellingShingle Panagiotis Chatzakos
Evangelos Papadopoulos
Self-Stabilising Quadrupedal Running by Mechanical Design
Applied Bionics and Biomechanics
title Self-Stabilising Quadrupedal Running by Mechanical Design
title_full Self-Stabilising Quadrupedal Running by Mechanical Design
title_fullStr Self-Stabilising Quadrupedal Running by Mechanical Design
title_full_unstemmed Self-Stabilising Quadrupedal Running by Mechanical Design
title_short Self-Stabilising Quadrupedal Running by Mechanical Design
title_sort self stabilising quadrupedal running by mechanical design
url http://dx.doi.org/10.1080/11762320902863908
work_keys_str_mv AT panagiotischatzakos selfstabilisingquadrupedalrunningbymechanicaldesign
AT evangelospapadopoulos selfstabilisingquadrupedalrunningbymechanicaldesign