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Updated: Feb 11, 2026

Muscle Imbalances: Testing and Training Functional Eccentric Hamstring Strength in Athletic Populations
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Design of Eccentric Training System Based on Multiple-Input Single-Output Wiener Nonlinear Model.

Chunbo Liu

    Journal of Sport Rehabilitation
    |April 14, 2018
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new eccentric training system design using a multiple-input single-output (MISO) Wiener nonlinear model. The system accurately controls and monitors eccentric cycling, enhancing its application in research and training.

    Keywords:
    Wiener modeleccentric cyclingergometermodeling

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    Area of Science:

    • Exercise Physiology
    • Biomedical Engineering
    • Control Systems

    Background:

    • Eccentric cycling is effective for training and rehabilitation.
    • Commercial eccentric ergometers face usability constraints.
    • A novel approach is needed to facilitate eccentric cycling applications.

    Purpose of the Study:

    • To design an eccentric training system using a MISO Wiener nonlinear model.
    • To apply Particle Swarm Optimization (PSO) for model parameter identification.
    • To develop a software system for controlling, monitoring, and data collection.

    Main Methods:

    • Utilized a multiple-input single-output (MISO) Wiener nonlinear model.
    • Employed Particle Swarm Optimization (PSO) for parameter estimation.
    • Developed embedded software for system control and data acquisition.

    Main Results:

    • The MISO Wiener nonlinear model demonstrated high accuracy.
    • Achieved a correlation coefficient of 0.9985 between collected and estimated power.
    • Reported a root mean square error of 3.3264, indicating model performance.

    Conclusions:

    • The developed MISO Wiener nonlinear model offers a viable method for eccentric training system design.
    • This approach facilitates eccentric cycling research and practical training.
    • The system provides a flexible and convenient platform for eccentric exercise studies.