{"id":{"repo_id":"cornell","oai_identifier":"oai:ecommons.cornell.edu:1813/103120"},"canonical_url":"https://search.dev.ndltd.org/etd/cornell/oai:ecommons.cornell.edu:1813/103120","repository":{"repo_id":"cornell","name":"Cornell University","base_url":"https://ecommons.cornell.edu/server/oai/request"},"display":{"title":"METHODS COMPARISON ON FLOW MODEL CONSTRUCTION AND PARAMETER ESTIMATION","abstract":"Knowing the equation of an unknown dynamical system is essential when trying to apply optimal control. Sometimes researchers do not have a comprehensive knowledge to a nonlinear system. The unknown part might be the function representing the relation between states (e.g. transfer function), or key parameters of a dynamical system (e.g. proportional constant of spring in a linear spring system). Various methods have been developed to identify the dynamics of an unknown system. In this thesis, multiple approaches include Neural Network polynomial Extraction (NN-poly), Sparse Identification of nonlinear Dynamics (SINDy) and Non-Uniform Discrete Fourier Transform (NUDFT) are compared over their ability to find the expression of unknown systems or to estimate key parameters of a dynamical system. Multiple tasks with different purposes are created to test the performances of these methods.","abstract_html":"Knowing the equation of an unknown dynamical system is essential when trying to apply optimal control. Sometimes researchers do not have a comprehensive knowledge to a nonlinear system. The unknown part might be the function representing the relation between states (e.g. transfer function), or key parameters of a dynamical system (e.g. proportional constant of spring in a linear spring system). Various methods have been developed to identify the dynamics of an unknown system. In this thesis, multiple approaches include Neural Network polynomial Extraction (NN-poly), Sparse Identification of nonlinear Dynamics (SINDy) and Non-Uniform Discrete Fourier Transform (NUDFT) are compared over their ability to find the expression of unknown systems or to estimate key parameters of a dynamical system. 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