残余物
非线性系统
控制理论(社会学)
模式(计算机接口)
材料科学
计算机科学
控制(管理)
算法
物理
人工智能
量子力学
操作系统
作者
Jacob Rains,Daning Huang,Yi Wang
摘要
The Koopman theory has received increasing attention for constructing reduced-order models (ROMs) as it converts a nonlinear dynamical system to a linear one in a higher dimensional space. However, the conventional ROMs based on Koopman are often made more complicated, and sometimes inaccurate, by unnecessary spurious eigenvalue-eigenvector pairs. This paper leverages the recent method of Residual Dynamic Mode Decomposition (ResDMD) for autonomous systems, and extends its ϵ-pseudospectrum residual computation to Koopman with Inputs and Control (KIC), for systems with control. This novel ResDMD with Control (ResDMDc) procedure eliminates spurious eigenpairs and results in low-rank and accurate linear ROMs for nonlinear dynamics. The method was tested on a nonlinear aeroelastic panel problem with exogenous inputs, and demonstrated high accuracy with a mean error of 0.0327 in the worst case.
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