Sparsity promoting algorithm for identification of nonlinear dynamic system based on Unscented Kalman Filter using novel selective thresholding and penalty-based …

A Pal, S Nagarajaiah - Mechanical Systems and Signal Processing, 2024 - Elsevier
Identifying a nonlinear dynamic systems' governing equation is crucial for many engineering
applications, and yet a challenging task. In this study, the system's dynamics are …

An improved sparse identification of nonlinear dynamics with Akaike information criterion and group sparsity

X Dong, YL Bai, Y Lu, M Fan - Nonlinear Dynamics, 2023 - Springer
A crucial challenge encountered in diverse areas of engineering applications involves
speculating the governing equations based upon partial observations. On this basis, a …

An adaptive generalized extended Kalman filter for real-time identification of structural systems, state and input based on sparse measurement

J Huang, Y Lei, X Li - Nonlinear Dynamics, 2024 - Springer
Extended Kalman filtering with unknown input (EKF-UI) is often used to estimate the
structural system state, parameters and unknown input in structural health monitoring …

An optimal model identification algorithm of nonlinear dynamical systems with the algebraic method

G Leylaz, S Ma, JQ Sun - … of Vibration and …, 2021 - asmedigitalcollection.asme.org
This article proposes a nonparametric system identification technique to discover the
governing equation of nonlinear dynamic systems with the focus on practical aspects. The …

Nonlinear dynamical system identification using the sparse regression and separable least squares methods

M Lin, C Cheng, Z Peng, X Dong, Y Qu… - Journal of Sound and …, 2021 - Elsevier
This paper proposes a novel nonlinear dynamical system identification method based on the
sparse regression algorithm and the separable least squares method. To effectively avoid …

Data driven discrete-time parsimonious identification of a nonlinear state-space model for a weakly nonlinear system with short data record

R Relan, K Tiels, A Marconato, P Dreesen… - … Systems and Signal …, 2018 - Elsevier
Many real world systems exhibit a quasi linear or weakly nonlinear behavior during normal
operation, and a hard saturation effect for high peaks of the input signal. In this paper, a …

Regularization-based dual adaptive Kalman filter for identification of sudden structural damage using sparse measurements

SH Lee, J Song - Applied Sciences, 2020 - mdpi.com
Featured Application The dual adaptive filter proposed in this paper can identify sudden
change in structural systems under dynamic excitations. The proposed filter method …

An iterated cubature unscented Kalman filter for large-DoF systems identification with noisy data

E Ghorbani, YJ Cha - Journal of Sound and Vibration, 2018 - Elsevier
Structural and mechanical system identification under dynamic loading has been an
important research topic over the last three or four decades. Many Kalman-filtering-based …

Sparse augmented lagrangian algorithm for system identification

X Tang, L Zhang, X Wang - Neurocomputing, 2019 - Elsevier
A huge class of nonlinear dynamic systems can be approximated by the Nonlinear
AutoRegressive with eXogenous inputs (NARX) models. This paper proposes a novel …

A priori denoising strategies for sparse identification of nonlinear dynamical systems: A comparative study

A Cortiella, KC Park, A Doostan - … of Computing and …, 2023 - asmedigitalcollection.asme.org
In recent years, identification of nonlinear dynamical systems from data has become
increasingly popular. Sparse regression approaches, such as sparse identification of …