State and parameter identification of linearized water wave equation via adjoint method  

作　　者：Yang YU Cheng-Zhong XU Hai-Long PEI Jinpeng YU 

机构地区：[1]School of Automation,Qingdao University,Qingdao 266071,China [2]LAGEP,Batiment CPE,University Claude Bernard-Lyon 1,Villeurbanne Cedex 69622,France [3]School of Automation Science and Engineering,Key Laboratory of Autonomous Systems and Networked Control,Ministry of Education,Guangdong Engineering Technology Research Center of Unmanned Aerial Vehicle System,South China University of Technology,Guangzhou 510641,China

出　　处：《Science China(Information Sciences)》2024年第10期279-293,共15页中国科学（信息科学）（英文版）

基　　金：partially supported by National Natural Science Foundation of China(Grant Nos.61973179,62403263);Natural Science Foundation of Qingdao,China(Grant No.24-4-4-zrjj-88-jch);Foundation of Key Laboratory of Autonomous Systems and Networked Control(South China University of Technology),Ministry of Education(Grant No.2014A01);French Grant ANR ODISSE(Grant No.ANR-19-CE48-0004-01)。

摘　　要：In this paper,we focus on the state and parameter identification problem of a hydrodynamical system.This system is modeled as a linearized water wave equation(LWWE),a hyperbolic state-space model coupled with a Laplace equation.We assume that the wave elevation at two distinct points is the only measurement of water waves.We show that the state and water depth can be reconstructed from this point measurement records.The identification problem is recast as an optimization problem over an infinite-dimensional space.We propose the adjoint method-based identification algorithm to generate an estimated state and water depth.We then performed a numerical simulation to show the effectiveness of our designed algorithm by comparing it with existing studies.

关 键 词：linearized water wave equation(LWWE) point observation state estimation parameter identification adjoint method numerical simulation 

分 类 号：O35[理学—流体力学] O175[理学—力学]