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Energy-Efficient Quadruped Locomotion with Compliant Feet

Summary

Quadruped robots typically use rigid feet for simple control but incur higher energy costs. This research integrates foot compliance into a reinforcement learning controller, training policies for eight spring stiffness values. Experiments on a real quadruped show that intermediate stiffness reduces energy consumption by about 17% compared to very stiff or very flexible feet, without destabilizing motion.

SourcearXiv RoboticsAuthor: Pramod Pal (Indian Institute of Science Bangalore India), Shishir Kolathaya (Robert Bosch Centre for Cyber Physical Systems Bangalore India), Ashitava Ghosal (Indian Institute of Science Bangalore India, Ahmedabad University Ahmedabad India)
Energy-Efficient Quadruped Locomotion with Compliant Feet
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[2605.14411] Energy-Efficient Quadruped Locomotion with Compliant Feet

[Submitted on 14 May 2026]

Title:Energy-Efficient Quadruped Locomotion with Compliant Feet

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Abstract:Quadruped robots are often designed with rigid feet to simplify control and maintain stable contact during locomotion. While this approach is straightforward, it limits the ability of the legs to absorb impact forces and reuse stored elastic energy, leading to higher energy expenditure during locomotion. To explore whether compliant feet can provide an advantage, we integrate foot compliance into a reinforcement learning (RL) locomotion controller and study its effect on walking efficiency. In simulation, we train eight policies corresponding to eight different spring stiffness values and then cross-evaluate their performance by measuring mechanical energy consumed per meter traveled. In experiments done on a developed quadruped, the energy consumption for the intermediate stiffness spring is lower by ~ 17% when compared to a very stiff or a very flexible spring incorporated in the feet, with similar trends appearing in the simulation results. These results indicate that selecting an appropriate foot compliance can improve locomotion efficiency without destabilizing the robot during motion.

Comments: 29 pages, 7 figures, supplemental videos link is mentioned in the paper

Subjects:

Robotics (cs.RO); Artificial Intelligence (cs.AI)

ACM classes: I.2.9; I.2.6

Cite as: arXiv:2605.14411 [cs.RO]

(or arXiv:2605.14411v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2605.14411

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Pramod Pal [view email] [v1] Thu, 14 May 2026 05:54:13 UTC (24,297 KB)

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Key points and analysis

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Key points

  • Rigid feet limit impact absorption and elastic energy reuse, increasing energy use
  • RL controller trained with eight distinct foot spring stiffnesses
  • Intermediate stiffness yields ~17% lower energy consumption than extremes
  • Appropriate foot compliance improves efficiency without compromising stability

Highlights and analysis are generated automatically and may contain errors. Check the original source.