Author: Denis Avetisyan
Researchers have developed a novel humanoid robot and AI framework that allows it to efficiently and stably navigate using a roller skate-inspired gait.

This work presents SKATER, a system leveraging deep reinforcement learning to achieve energy-efficient and impact-reducing locomotion with nonholonomic constraints.
While humanoid robots have made strides in walking and running, these gaits inherently generate high-impact forces and suboptimal energy use. This work presents SKATER: Synthesized Kinematics for Advanced Traversing Efficiency on a Humanoid Robot via Roller Skate Swizzles, a novel approach leveraging roller skate locomotion for enhanced efficiency. By equipping a humanoid robot with passive wheels and employing deep reinforcement learning, we demonstrate a swizzle gait that reduces impact intensity by 75.86% and cost of transport by 63.34% compared to traditional bipedal walking. Could this biomimetic approach redefine locomotion strategies for robots, extending operational lifespan and minimizing energy expenditure?
Beyond Bipedalism: The Elegance of Rolling Locomotion
The study of human locomotion frequently begins with the premise that walking, at its core, is a controlled fall – a continuous tipping over prevented by dynamic stability. This concept is elegantly captured by the Linear Inverted Pendulum Model (LIPM), which approximates the body’s center of mass as a point mass oscillating around an unstable equilibrium. Researchers leverage this model to understand how individuals maintain balance while walking, predicting trajectories and control strategies based on minimizing deviations from this inverted pendulum state. The LIPM, while a simplification, provides a powerful framework for analyzing gait characteristics – step length, step frequency, and center of mass motion – and forms the foundation for more complex biomechanical analyses and robotic locomotion designs. However, the effectiveness of this model diminishes when considering drastically different modes of movement, highlighting the need for new approaches that account for unique contact dynamics.
The principles governing human walking – strategies built around maintaining balance while stepping – falter when applied to roller skating. Unlike the discrete impacts of walking, roller skating involves continuous contact with the ground, dramatically altering the dynamics of movement. This transition introduces ‘non-holonomic constraints’ – limitations on the skater’s possible motions that aren’t directly related to the physics of the wheels themselves, but rather the way forces are applied. Essentially, a skater can’t simply move in any direction at will; sideways motion, for example, requires careful coordination and isn’t achieved through direct force application like a step. Consequently, established models of bipedal locomotion, often reliant on concepts like the Zero\ Moment\ Point, prove inadequate for understanding and controlling the unique challenges presented by wheeled movement, demanding entirely new analytical and control frameworks.
The persistent ground contact characteristic of roller skating presents a significant departure from the dynamics of walking, rendering conventional balance control methods, such as the Zero Moment Point (ZMP) criterion, largely ineffective. Traditional ZMP control relies on brief, discrete periods of ground contact to maintain stability by ensuring the resultant ground reaction force passes through the base of support; however, the continuous nature of wheeled locomotion eliminates these discrete phases. Consequently, maintaining balance on roller skates demands fundamentally new strategies; these must account for the non-holonomic constraints imposed by the wheels and prioritize managing angular momentum rather than simply positioning a static stability point. Researchers are now exploring control algorithms that emphasize dynamic stability through continuous adjustments in body orientation and wheel steering, effectively treating the skater as a continuously balancing system rather than a series of static poses.

Introducing SKATER: A Platform for Wheeled Locomotion Research
The SKATER robot is a 25-Degrees of Freedom (DoF) humanoid robot designed for research into wheeled locomotion. Its defining feature is the integration of passive roller skate wheels into custom-designed foot structures, replacing traditional foot-ground contact. This construction allows for continuous sliding movements and differentiates SKATER from conventional bipedal walking robots. The 25 DoF encompass all actuated joints, providing a comprehensive range of motion for balance and control during wheeled maneuvers. The robot’s mechanical design prioritizes stability and maneuverability while utilizing the unique dynamics introduced by the passive wheels.
The implementation of passive roller skate wheels on SKATER’s foot structures facilitates continuous sliding motion, a departure from the discrete footfalls characteristic of traditional bipedal walking. This design eliminates the static friction phase of the gait cycle, allowing for sustained forward momentum without requiring repetitive impact and lift-off. Consequently, SKATER exhibits altered kinematic and kinetic profiles; traditional metrics such as step length and step frequency become less relevant, replaced by parameters describing the duration and velocity of sliding phases. The resulting locomotion is characterized by reduced energy expenditure during sustained movement, as the robot leverages momentum rather than continuously overcoming static friction to maintain forward progress.
SKATER’s robotic architecture facilitates the investigation of control methodologies specifically designed for wheeled locomotion, moving beyond the constraints inherent in bipedal walking models. Traditional humanoid robot control relies heavily on balance management and complex gait planning to prevent falls, requiring significant computational resources and often limiting speed and agility. By integrating passive roller skate wheels into the foot structures, SKATER shifts the primary mode of locomotion to continuous sliding, effectively reducing the need for dynamic balancing and precise foot placement. This allows researchers to focus on developing control algorithms centered around steering, velocity control, and trajectory planning optimized for wheeled systems, potentially enabling faster and more energy-efficient movement compared to conventional walking robots.

Deep Reinforcement Learning: A Pathway to Dynamic Control
Deep Reinforcement Learning (DRL) was implemented to train the SKATER robot to execute a swizzle skating gait, a cyclical locomotion pattern characterized by forward movement achieved through alternating lateral leg movements on roller skates. This gait presents challenges in robotic control due to its dynamic nature and the requirement for precise timing and force application. The DRL approach allows SKATER to learn the complex control policies necessary to maintain balance and achieve consistent forward motion without explicit programming of the gait mechanics. The robot learns through trial and error, receiving rewards for successful gait completion and penalties for falls or deviations from the desired trajectory, ultimately optimizing its control parameters to maximize performance.
Robotic control is significantly complicated by non-holonomic constraints, which limit the robot’s ability to move instantaneously in all directions – a common characteristic of wheeled and legged systems like roller skates. These constraints necessitate complex planning and control algorithms to achieve even basic locomotion. Deep Reinforcement Learning (DRL) provides a method to bypass explicit modeling of these constraints; the robot learns to navigate them through trial and error. This learning process enables the development of gaits that are not only functional but also robust to disturbances and adaptable to variations in terrain or speed. Unlike traditional control methods that often rely on pre-defined trajectories, DRL allows the robot to generate dynamically feasible motions and react to unforeseen circumstances, resulting in a more versatile and resilient locomotion system.
Domain randomization and multi-stage curriculum learning were implemented to enhance the transfer of learned policies from simulation to the physical robot and to reduce training time. Domain randomization involved randomly varying simulation parameters – including friction coefficients, mass distribution, and actuator dynamics – during training, forcing the agent to learn a policy robust to discrepancies between the simulated and real environments. Multi-stage curriculum learning progressively increased the complexity of the learning task; initial stages focused on simpler motions and environments, followed by gradual introduction of more challenging conditions, such as increased speed and varied terrain, thereby accelerating convergence and improving overall performance.

Performance and Efficiency: Validating the Approach
Experiments confirm that the SKATER robot successfully executes the Swizzle Skating Gait, achieving both stable and repeatable locomotion. This gait, inspired by figure skating, allows for forward movement with minimal energy expenditure and a distinct reduction in impact forces. Through rigorous testing, the robot consistently maintained balance and continued movement across diverse ground surfaces, demonstrating the robustness of the approach. The successful implementation of this gait represents a significant step toward bio-inspired robotics, showcasing how principles from natural locomotion can be translated into effective and efficient robotic movement.
The innovative gait learned by SKATER demonstrably minimizes the force experienced upon foot contact, representing a significant departure from the impact-heavy nature of conventional bipedal walking. This reduction in foot contact force not only contributes to a smoother, more fluid locomotion, but also suggests substantial potential for improved energy efficiency. By distributing forces more effectively during each step, SKATER lessens the energetic cost associated with impact absorption and subsequent stabilization, paving the way for robotic systems-and potentially prosthetic devices-capable of sustained, low-effort movement across diverse terrains. The resulting gait isn’t merely a functional solution, but a biomechanically-inspired approach to locomotion prioritizing comfort and conservation of energy.
Quantitative analysis reveals that the Swizzle Skating Gait, as implemented in SKATER, presents a substantial improvement in locomotion efficiency over traditional bipedal walking. Specifically, researchers observed a 63.34% reduction in the Cost of Transport (CoT), indicating significantly less energy expenditure during movement. This enhanced efficiency is further supported by a 75.86% decrease in impact intensity at foot contact, minimizing stress on joints and potentially reducing fatigue. Moreover, peak torque at both the hip and ankle pitch were demonstrably reduced – by 74% and 70% respectively – suggesting a more fluid and controlled gait. Compounding these benefits, SKATER consistently maintained balance – achieving a 100% success rate – across a diverse range of ground surfaces, showcasing the robustness and adaptability of this innovative approach to robotic locomotion.

The development of SKATER exemplifies a pursuit of algorithmic elegance in motion. The research meticulously addresses the nonholonomic constraints inherent in roller skating locomotion, framing the problem as a challenge in provable stability and efficient energy expenditure. This aligns perfectly with Claude Shannon’s assertion that “The most important thing in communication is to reduce the amount of information needed to be transmitted.” Similarly, SKATER minimizes wasted energy during traversal through the swizzle gait, distilling movement down to its essential components. The sim-to-real transfer success isn’t merely about replicating a behavior; it’s about a mathematically sound solution manifesting consistently across different environments, proving the robustness of the underlying principles.
Beyond the Swizzle: Charting a Course for Rigorous Locomotion
The demonstration of efficient roller skating on a humanoid platform, while superficially impressive, merely shifts the fundamental challenge of locomotion – not resolving it. The current framework, reliant on deep reinforcement learning, achieves functionality through empirical optimization. A truly elegant solution demands a formal proof of stability and optimality, not merely a low Cost of Transport observed in simulation and, tentatively, in the physical world. The nonholonomic constraints inherent in roller skating, and indeed all complex gaits, necessitate a move beyond ad-hoc policy learning. Future work should prioritize the development of control algorithms grounded in differential geometry and optimal control theory, ensuring guaranteed convergence to a provably stable and efficient gait.
The sim-to-real transfer, a perennial difficulty, remains a significant limitation. While the authors acknowledge the discrepancies, simply increasing the fidelity of the simulation is a palliative, not a cure. A more fruitful avenue lies in developing control policies robust to model uncertainty – policies predicated on estimation of unmodeled dynamics, rather than precise knowledge thereof. This requires integrating principles of adaptive control and robust estimation into the reinforcement learning framework, allowing the robot to learn and compensate for real-world imperfections in a theoretically sound manner.
Ultimately, the pursuit of truly intelligent locomotion necessitates a paradigm shift. The field must move beyond the question of what gait is effective, and address the more fundamental question of why a particular gait is optimal. Only through a rigorous mathematical foundation can the complexities of dynamic balance and energy efficiency be truly understood, and genuinely intelligent robots – capable of navigating arbitrary terrains with elegance and assurance – be realized.
Original article: https://arxiv.org/pdf/2601.04948.pdf
Contact the author: https://www.linkedin.com/in/avetisyan/
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2026-01-09 20:27