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An General Unscented Kalman Filter with unknown inputs for identification of structural parameters of structural parameters

Due to the unknown or not monitored excitations on the structure, a novel General Extended Kalman filter with unknown inputs (GEKF-UI) was proposed to successfully estimate the structural parameters and the unknown excitations (inputs) simultaneously. The proposed GEKF-UI gives an analytical EKF solution dealing with the more general measurement scenarios with the existing EKF methods as its special cases. However, the proposed GEKF-UI inevitably owns the shortcomings of the traditional EKF. In this regard, a unscented transformation (UT) method is adopted to derive a General Unscented Kalman Filter with Unknown Inputs (GUKF-UI) as the of the counterpart of GEKF-UI. Simulation results from a 3-storey linear damped shear building shows that the proposed GUKF-UI approach has more accuracy than its counterpart GEKF-UI.