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Indeterminate structures refer to structures where internal forces and reactions cannot be determined using only the equations of static equilibrium.  Indeterminate structures have more unknown forces and reaction forces than equations of static equilibrium that can be used to determine them. Indeterminate structures are often used in engineering to create complex, efficient, and aesthetically pleasing structures. There are various types of indeterminate structures used in engineering and...
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Related Experiment Video

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An EKF-based approach for estimating leg stiffness during walking.

Claudia Ochoa-Diaz, Henrique M Menegaz, Antônio P L Bó

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    |October 11, 2013
    PubMed
    Summary

    This study introduces a new method to estimate leg stiffness during walking using an Extended Kalman Filter (EKF) and the Spring-Loaded Inverted Pendulum (SLIP) model. The approach reliably estimates leg stiffness without needing force data or prior stiffness knowledge.

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    Area of Science:

    • Biomechanics
    • Robotics
    • Control Systems

    Background:

    • Human locomotion exhibits inherent spring-like behavior, crucial for efficient walking and running.
    • Estimating leg stiffness (k(leg)) is vital but challenging as it cannot be directly measured, often relying on force data.
    • Existing methods for leg stiffness estimation have limitations, prompting the need for alternative approaches.

    Purpose of the Study:

    • To develop and validate a novel method for estimating leg stiffness during human walking.
    • To utilize an Extended Kalman Filter (EKF) integrated with the Spring-Loaded Inverted Pendulum (SLIP) model for stiffness estimation.
    • To determine if leg stiffness can be reliably estimated using only Center of Mass (CoM) position and velocity data.

    Main Methods:

    • Implementation of an Extended Kalman Filter (EKF) algorithm.
    • Application of the Spring-Loaded Inverted Pendulum (SLIP) model framework.
    • Utilizing Center of Mass (CoM) position and velocity as the sole measurement inputs, without prior stiffness information.

    Main Results:

    • The EKF-based approach demonstrated reliable estimation of leg stiffness during simulated walking.
    • The method successfully estimated stiffness without requiring direct force measurements.
    • No a priori information about the leg stiffness value was needed for the filter's formulation.

    Conclusions:

    • The proposed EKF-based method offers a viable and reliable approach for estimating leg stiffness during walking.
    • This technique advances biomechanical analysis by enabling stiffness estimation from readily available kinematic data (CoM position and velocity).
    • The findings suggest potential applications in gait analysis, rehabilitation, and the design of legged robots.