Self-Tuning Extended Kalman Filter Parameters to Identify Ankle's Third-Order Mechanics
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The estimation of human ankle%27s mechanical impedance is an important tool for modeling human balance. This work presents the implementation of a parameter-estimation approach based on a state-augmented extended Kalman filter (AEKF) to infer the ankle%27s mechanical impedance during quiet standing. However, the AEKF filter is sensitive to the initialization of the noise covariance matrices. In order to avoid a time-consuming trial-and-error method and to obtain a better estimation performance, a genetic algorithm (GA) is proposed to best tune the measurement noise (Rk) and process noise covariances (Q) of the extended Kalman filter (EKF). Results using simulated data show the efficacy of the proposed algorithm for parameter-estimation of a third-order biomechanical model. Experimental validation of these results is also presented. They suggest that age is an influencing factor in the human balance. © 2021 by ASME.
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The estimation of human ankle's mechanical impedance is an important tool for modeling human balance. This work presents the implementation of a parameter-estimation approach based on a state-augmented extended Kalman filter (AEKF) to infer the ankle's mechanical impedance during quiet standing. However, the AEKF filter is sensitive to the initialization of the noise covariance matrices. In order to avoid a time-consuming trial-and-error method and to obtain a better estimation performance, a genetic algorithm (GA) is proposed to best tune the measurement noise (Rk) and process noise covariances (Q) of the extended Kalman filter (EKF). Results using simulated data show the efficacy of the proposed algorithm for parameter-estimation of a third-order biomechanical model. Experimental validation of these results is also presented. They suggest that age is an influencing factor in the human balance. © 2021 by ASME.
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Covariance matrix; Extended Kalman filters; Genetic algorithms; Bio-mechanical models; Estimation performance; Experimental validations; Measurement Noise; Mechanical impedances; Noise covariance; State augmented extended kalman filters; Trial-and-error method; Parameter estimation; ankle; Article; biomechanics; genetic algorithm; human; mathematical model; muscle rigidity; musculoskeletal system parameters; noise; oscillation; simulation; tendon; validation study; algorithm; ankle; biomechanics; Algorithms; Ankle; Biomechanical Phenomena
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