Accession Number : AD0858698

Title :   The Identification of Nonlinear Dynamical Systems from Input-Output Data.

Descriptive Note : Technical publication,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF ENGINEERING

Personal Author(s) : Phillips, Fletcher R.

Report Date : JUL 1969

Pagination or Media Count : 54

Abstract : The approaches used in the identification of nonlinear systems from input-output data have normally assumed that the system is almost completely unknown, or that it is completely known with the exception of fixed number of unknown parameters. In this report it is assumed that the input-output relations for the nonlinear dynamical system under study are known with the exception of an unknown function which occurs in this representation. From a finite length of input data and noise corrupted output data techniques are presented which yield a maximum likelihood estimate of an approximation to the unknown function. Computer algorithms based on gradient and Newton-Raphson procedures are developed, and an example is presented. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), (*NONLINEAR SYSTEMS, IDENTIFICATION), INFORMATION THEORY, STEEPEST DESCENT METHOD, APPROXIMATION(MATHEMATICS), NUMERICAL METHODS AND PROCEDURES, ALGORITHMS, THESES.

Subject Categories : Theoretical Mathematics
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE