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Updated: May 21, 2026

A Human-machine-interface Integrating Low-cost Sensors with a Neuromuscular Electrical Stimulation System for Post-stroke Balance Rehabilitation
Published on: April 12, 2016
A two-joint human posture control model with realistic neural delays.
Yao Li1, William S Levine, Gerald E Loeb
1Department of Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, USA. yao.li.1@usc.edu
A new nonlinear optimal control model accurately captures human sway during quiet standing. This model, using a double inverted pendulum, replicates observed sway patterns and may reduce muscular energy expenditure.
Area of Science:
- Biomechanics
- Robotics
- Control Theory
- Human Posture Regulation
Background:
- Human quiet standing involves complex sway patterns not easily modeled by simple engineering approaches.
- Accurate modeling of posture regulation is crucial for understanding human movement and developing assistive technologies.
Purpose of the Study:
- To develop a nonlinear optimal control model for human posture regulation during quiet standing.
- To replicate experimentally observed sway patterns and coordinated nonlinear responses using a computational model.
Main Methods:
- Developed a model incorporating double inverted pendulum dynamics in the sagittal plane, controlled by ankle and hip torques.
- Defined a nonlinear performance measure based on center of pressure and control torques.
- Incorporated realistic sensory and motor delays into the dynamic model.
- Utilized model predictive control (MPC) to solve the nonlinear quartic regulator problem.
Main Results:
- The developed nonlinear optimal control model successfully replicated experimentally observed human sway patterns during quiet standing.
- The model demonstrated coordinated nonlinear responses consistent with human postural control.
- The model is predicted to utilize less muscular energy compared to other control strategies.
Conclusions:
- The nonlinear optimal control model provides a more accurate representation of human posture regulation than previous engineering models.
- The model's ability to replicate sway and coordinate responses highlights its potential for understanding human biomechanics.
- The methodology is adaptable for more complex biomechanical models and applications in robotics and rehabilitation.
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