TY - GEN
T1 - Data-Driven Reduced-Order Modeling of the Flexible Cable Using the POD-Galerkin Projection and the SINDy Algorithm
AU - Kong, Zhiquan
AU - Chen, Tong
AU - Zhoua, Liliang
AU - Xiaoa, Qianli
AU - Zhang, Huan
N1 - Publisher Copyright:
© Press of Acta Aeronautica et Astronautica Sinica 2026.
PY - 2026
Y1 - 2026
N2 - The flexible arresting cable in the recovery cable system is controlled to capture the landing rocket and achieve safe recovery. The high-dimensional nonlinear dynamic problems of the flexible cable urgently request elegant simplifications and model reductions for use in the real-time state estimation and control applications. In this work, a da-ta-driven reduced-order modeling approach is proposed based on the Proper Orthogonal Decomposition Galerkin (POD-Galerkin) projection and the Sparse Identification of Nonlinear Dynamical Systems (SINDy) algorithm. The accurate nonlinear flexible multibody dynamic model of the arresting cable is established using Arbitrary Lagrangian Eulerian (ALE) formulation. Then, it is simulated to generate a comprehensive data matrix. The POD-Galerkin projection carries out an approximate representation of the higher-order data matrix through a reduced set of orthogonal basis functions. Subsequently, benefiting by compressed sensing and sparse regression techniques, the reduced-order model of the flexible cable can be identified utilizing the SINDy algorithm and can be represented through the nonlinear candidate function library. The simulation results show that the dynamic model of a flexible cable effectively reduces the order using POD-Galerkin projection from 45° of freedom to only four degrees of freedom, and the dynamic behavior of the identified model maintaining excellent agreement with the dynamic behavior of the original model.
AB - The flexible arresting cable in the recovery cable system is controlled to capture the landing rocket and achieve safe recovery. The high-dimensional nonlinear dynamic problems of the flexible cable urgently request elegant simplifications and model reductions for use in the real-time state estimation and control applications. In this work, a da-ta-driven reduced-order modeling approach is proposed based on the Proper Orthogonal Decomposition Galerkin (POD-Galerkin) projection and the Sparse Identification of Nonlinear Dynamical Systems (SINDy) algorithm. The accurate nonlinear flexible multibody dynamic model of the arresting cable is established using Arbitrary Lagrangian Eulerian (ALE) formulation. Then, it is simulated to generate a comprehensive data matrix. The POD-Galerkin projection carries out an approximate representation of the higher-order data matrix through a reduced set of orthogonal basis functions. Subsequently, benefiting by compressed sensing and sparse regression techniques, the reduced-order model of the flexible cable can be identified utilizing the SINDy algorithm and can be represented through the nonlinear candidate function library. The simulation results show that the dynamic model of a flexible cable effectively reduces the order using POD-Galerkin projection from 45° of freedom to only four degrees of freedom, and the dynamic behavior of the identified model maintaining excellent agreement with the dynamic behavior of the original model.
KW - Data-driven model
KW - Flexible cable
KW - Model order reduction
KW - Proper orthogonal decomposition (POD)-Galerkin projection
KW - Sparse identification of nonlinear dynamics (SINDy) algorithm
UR - https://www.scopus.com/pages/publications/105022698613
U2 - 10.1007/978-981-95-3025-0_12
DO - 10.1007/978-981-95-3025-0_12
M3 - Conference contribution
AN - SCOPUS:105022698613
SN - 9789819530243
T3 - Lecture Notes in Mechanical Engineering
SP - 170
EP - 183
BT - Proceedings of the 2nd Aerospace Frontiers Conference, AFC 2025 - Volume VII
PB - Springer Science and Business Media Deutschland GmbH
T2 - 2nd Aerospace Frontiers Conference, AFC 2025
Y2 - 11 April 2025 through 14 April 2025
ER -