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Updated: Nov 14, 2025

Movement Retraining using Real-time Feedback of Performance
Published on: January 17, 2013
Real-Time and Dynamically Consistent Estimation of Muscle Forces Using a Moving Horizon EMG-Marker Tracking
François Bailly1, Amedeo Ceglia1, Benjamin Michaud1
1Laboratoire de Simulation et de Modélisation du Mouvement, Faculté de Médecine, Université de Montréal, Laval, QC, Canada.
Real-time muscle force estimation for biofeedback is now feasible using moving horizon estimation (MHE). This method significantly improves computational speed and accuracy, even with experimental noise, aiding clinical movement analysis.
Area of Science:
- Biomechanics and Motor Control
- Computational Physiology
- Rehabilitation Engineering
Background:
- Accurate muscle force estimation is crucial for effective clinical biofeedback and movement analysis.
- Existing methods like static optimization have limitations, including unrealistic joint torques and inconsistent estimates during co-contraction.
- Forward optimal control approaches offer dynamic consistency but are computationally expensive for real-time applications.
Purpose of the Study:
- To assess the feasibility and accuracy of real-time muscle force estimation using a Moving Horizon Estimation (MHE) approach.
- To evaluate the computational efficiency and performance of MHE compared to existing methods.
Main Methods:
- A 4-Degrees of Freedom (DoFs) arm model with 19 Hill-type muscles was developed.
- Simulations included varying levels of co-contraction, electromyography (EMG) noise, and marker noise.
- MHE was implemented with different cost functions (EMG-marker tracking, marker-tracking with muscle excitation minimization) and tested on excitation- and activation-driven models.
Main Results:
- An excitation-driven model with a 7-frame MHE achieved real-time performance (24 Hz), a 3,500-fold speed improvement over prior methods.
- Estimation errors for muscle forces ranged from 1-30 N (EMG-marker tracking) and 8-50 N (muscle excitation minimization) under simulated noise.
- Statistical analysis confirmed significant effects of co-contraction and noise levels on estimation accuracy.
Conclusions:
- The MHE implementation demonstrates significant potential for accurate, real-time muscle force estimation in biofeedback applications.
- This approach overcomes computational limitations of previous methods, offering a viable tool for clinical movement analysis.
- The MHE method shows promise even under realistic experimental noise conditions.
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