Organizations: Department of Biomedical Engineering, New Jersey Institute of Technology, Newark, NJ 07102, USA · Kessler Foundation, West Orange, NJ, 07052, USA
Unilateral muscle weakness often leads to asymmetric gait, disrupting interlimb coordination and stance timing. This study presents a reinforcement learning (RL) based musculoskeletal simulation framework to (1) quantify how progressive unilateral muscle weakness affects gait symmetry and (2) evaluate whether ankle exoskeleton assistance can improve gait symmetry under impaired conditions. The overarching goal is to establish a simulation- and learning-based workflow that supports early controller development prior to patient experiments. Asymmetric gait was induced by reducing right-leg muscle strength to 75%, 50%, and 25% of baseline. Gait asymmetry was quantified using toe-off timing, peak contact forces, and joint-level symmetry metrics. Increasing weakness produced progressively larger temporal and kinematic asymmetry, most pronounced at the ankle. Ankle range of motion symmetry degraded from near-symmetric behavior at 100% strength (symmetry index, SI = +6.4%; correlation r=0.974) to severe asymmetry at 25% strength (SI = -47.1%, r=0.889), accompanied by a load shift toward the unimpaired limb. At 50% strength, ankle exoskeleton assistance improved kinematic symmetry relative to the unassisted impaired condition, reducing the magnitude of ankle SI from 25.8% to 18.5% and increasing ankle correlation from r=0.948 to 0.966, although peak loading remained biased toward the unimpaired side. Overall, this framework supports controlled evaluation of impairment severity and assistive strategies, and provides a basis for future validation in human experiments.
Figures & tables
Fig. 1: Reinforcement learning framework for human–exoskeleton multi-agent training, adapted from [ 14 ] . Stage 1 trains a baseline human locomotion policy for normal walking. Stage 2 performs transfer learning under progressive unilateral weakness; joint human–exoskeleton training for right-ankle assistance was performed only at α=0.5 using PPO [ 16 ] .
Condition
Peak Force (L/R) [N]
Toe-off (L/R) [%]
Ankle (SI, r )
Knee (SI, r )
Hip (SI, r )
100% strength ( α=1.0 )
1319.1±90.3 / 1422.4±89.3
57 / 55
+6.4 , 0.974
−9.7 , 0.988
−4.9 , 0.993
75% strength ( α=0.75 )
1755.7±112.1 / 1165.4±78.6
62 / 55
−12.9 , 0.961
−19.8 , 0.957
+0.2 , 0.996
50% strength ( α=0.5 )
1681.6±130.5 / 1053.3±90.5
60 / 53
−25.8 , 0.948
+22.7 , 0.914
−7.0 , 0.992
25% strength ( α=0.25 )
1688.8±93.3 / 1002.0±88.4
61 / 53
−47.1 , 0.889
+29.6 , 0.841
+7.1 , 0.949
50% strength + Exo ( α=0.5 )
1686.3±117.0 / 878.6±132.8
60 / 54
−18.5 , 0.966
−12.0 , 0.914
+4.1 , 0.977
TABLE I: Summary metrics under each condition. SI: ROM-based symmetry index computed using Eq. ( 7 ); r : Pearson correlation between left and right joint angle trajectories during stance. Toe-off is reported as the percentage of the gait cycle.
Fig. 2: Joint angle trajectories during steady-state walking under progressive unilateral right-leg muscle weakness. Panels correspond to different muscle strength levels: (a) 100% strength ( α=1.00 ), (b) 75% strength ( α=0.75 ), (c) 50% strength ( α=0.50 ), and (d) 25% strength ( α=0.25 ). Solid and dashed lines denote right and left legs, respectively; shaded regions indicate ± 1 SD across gait cycles. Toe-off is marked by vertical lines (solid right, dashed left).
Fig. 3: Ground contact force profiles during stance under progressive unilateral right-leg muscle weakness (see panel labels for α ). Blue/red: left/right foot; shaded: ± 1 SD across gait cycles.
Fig. 4: Joint angle trajectories at 50% strength ( α=0.5 ) with and without ankle exoskeleton assistance. “50%” denotes unassisted and “50%+Exo” denotes assisted. Solid/dashed lines indicate right/left legs; shaded regions show ±1 SD; vertical lines mark toe-off.
Fig. 5: Learned right-leg ankle exoskeleton torque profile at 50% muscle strength ( α=0.5 ). The curve shows the mean commanded ankle torque over one gait cycle for the assisted condition (50%+Exo), with shaded regions indicating ±1 SD across gait cycles. Vertical line marks right-leg toe-off timing. Positive torque denotes dorsiflexion and negative torque denotes plantarflexion.
Gait analysis uses movement and biomechanical signals to characterize walking, recognize people, assess health, and guide rehabilitation or locomotion.
Designing generalizable control policies for lower-limb exoskeletons remains fundamentally constrained by exhaustive data collection or iterative optimization procedures, which limit accessibility to clinical populations. To address this challenge, we introduce a device-agnostic framework that combines physiologically plausible musculoskeletal simulation with reinforcement learning to enable scalable personalized exoskeleton assistance for both able-bodied and clinical populations. Our control policies not only generate physiologically plausible locomotion dynamics but also capture clinically observed compensatory strategies under targeted muscular deficits, providing a unified computational model of both healthy and pathological gait. Without task-specific tuning, the resulting exoskeleton control policies produce assistive torque profiles at the hip and ankle that align with state-of-the-art profiles validated in human experiments, while consistently reducing metabolic cost across walking speeds. For simulated impaired-gait models, the learned control policies yield asymmetric, deficit-specific exoskeleton assistance that improves both energetic efficiency and bilateral kinematic symmetry without explicit prescription of the target gait pattern. These results demonstrate that physiologically plausible musculoskeletal simulation via reinforcement learning can serve as a scalable foundation for personalized exoskeleton control across both able-bodied and clinical populations, eliminating the need for extensive physical trials.
Itak Choi, Ilseung Park, Eni Halilaj +1
Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213 USA.
Data-driven joint-moment predictors offer a scalable alternative to laboratory-based inverse-dynamics pipelines for biomechanics estimation and exoskeleton control. Meanwhile, physics-based reinforcement learning (RL) enables simulation-trained controllers to learn dynamics-aware assistance strategies without extensive human experimentation. However, quantitative verification of simulation-trained exoskeleton torque predictors, and their impact on human joint power injection, remains limited. This paper presents (1) an RL framework to learn exoskeleton assistance policies that reduce biological joint moments, and (2) a validation pipeline that verifies the trained control networks using an open-source gait dataset through inference and comparison with biological joint moments. Simulation-trained multilayer perceptron (MLP) controllers are developed for level-ground and ramp walking, mapping short-horizon histories of bilateral hip and knee kinematics to normalized assistance torques. Results show that predicted assistance preserves task-intensity trends across speeds and inclines. Agreement is particularly strong at the hip, with cross-correlation coefficients reaching 0.94 at 1.8 m/s and 0.98 during 5° decline walking, demonstrating near-matched temporal structure. Discrepancies increase at higher speeds and steeper inclines, especially at the knee, and are more pronounced in joint power comparisons. Delay tuning biases assistance toward greater positive power injection; modest timing shifts increase positive power and improve agreement in specific gait intervals. Together, these results establish a quantitative validation framework for simulation-trained exoskeleton controllers, demonstrate strong sim-to-data consistency at the torque level, and highlight both the promise and the remaining challenges for sim-to-real transfer.
Zihang You, Xianlian Zhou
Department of Biomedical Engineering, New Jersey Institute of Technology, Newark, NJ 07102, USA
Human locomotion emerges from high-dimensional neuromuscular control, making predictive musculoskeletal simulation challenging. We present a physiology-informed reinforcement-learning framework that constrains control using muscle synergies. We extracted a low-dimensional synergy basis from inverse musculoskeletal analyses of a small set of overground walking trials and used it as the action space for a muscle-driven three-dimensional model trained across variable speeds, slopes and uneven terrain. The resulting controller generated stable gait from 0.7-1.8 m/s and on ± 6∘ grades and reproduced condition-dependent modulation of joint angles, joint moments and ground reaction forces. Compared with an unconstrained controller, synergy-constrained control reduced non-physiological knee kinematics and kept knee moment profiles within the experimental envelope. Across conditions, simulated vertical ground reaction forces correlated strongly with human measurements, and muscle-activation timing largely fell within inter-subject variability. These results show that embedding neurophysiological structure into reinforcement learning can improve biomechanical fidelity and generalization in predictive human locomotion simulation with limited experimental data.
Ilseung Park, Eunsik Choi, Jangwhan Ahn +1
Carnegie Mellon University · Department of Physical Education, Seoul National University, Seoul, Republic of Korea · Seoul National University +2