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Related Concept Videos

Transfer Function to State Space01:23

Transfer Function to State Space

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State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an...
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State Space to Transfer Function01:21

State Space to Transfer Function

339
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
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Functional Classification of Joints01:09

Functional Classification of Joints

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Functional Classification of Joints
The functional classification of joints is determined by the amount of mobility between the adjacent bones. Joints are functionally classified as a synarthrosis or immobile joint, an amphiarthrosis or slightly moveable joint, or as a diarthrosis, a freely moveable joint. Fibrous and cartilaginous joints can be functionally classified as either synarthroses  or amphiarthroses, whereas all synovial joints are classified as diarthroses.
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Quantifying Learning in Young Infants: Tracking Leg Actions During a Discovery-learning Task
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Lower-Limb Joint Torque Prediction Using LSTM Neural Networks and Transfer Learning.

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    IEEE Transactions on Neural Systems and Rehabilitation Engineering : a Publication of the IEEE Engineering in Medicine and Biology Society
    |March 3, 2022
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    Summary

    Researchers accurately estimated lower limb joint torques during daily activities using long short-term memory (LSTM) neural networks and wearable sensors. This method shows promise for analyzing athletic training and assistive device effectiveness.

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    Area of Science:

    • Biomechanics
    • Wearable Technology
    • Machine Learning

    Background:

    • Estimating joint torques is crucial for assessing athletic training, medical interventions, and assistive device efficacy.
    • Wearable sensors offer a promising avenue for real-time joint torque estimation during daily activities.

    Purpose of the Study:

    • To predict lower limb joint torques during ten daily activities using long short-term memory (LSTM) neural networks and transfer learning.
    • To evaluate the accuracy and generalizability of LSTM models in both intra-subject and inter-subject scenarios.

    Main Methods:

    • LSTM neural networks were trained using muscle electromyography (EMG) signals and lower limb joint angles.
    • Models predicted hip, knee, and ankle joint torques.
    • Transfer learning was employed to enhance model generalizability across different subjects and tasks.

    Main Results:

    • LSTM models achieved accurate predictions of lower limb joint torques with low error (RMSE ≤ 0.14 Nm/kg, NRMSE ≤ 8.7%) in intra-subject tests.
    • Transfer learning significantly improved torque prediction accuracy in inter-subject tests, enabling accurate predictions from limited data from new subjects.

    Conclusions:

    • LSTM models, combined with wearable sensor data, provide accurate estimations of lower limb joint torques during daily activities.
    • Transfer learning enhances the generalizability of these models, making them applicable to new subjects and tasks with minimal training data.