Accession Number:

ADA169967

Title:

On the Identification of Polynomial Input-Output Differential Systems,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF ENGINEERING

Personal Author(s):

• Pearson, A. E.
• Lee, F. C.

Report Date:

1985-08-01

Pagination or Media Count:

5.0

Abstract:

A least-squares parameter identification techniques is formulated for a class of deterministic nonlinear systems modeled by polynomial input-output differential equations. The basis of the technique is Shinbrots method of moment functionals using trigonometric modulating functions. Given the input- output data over a single finite time interval for a one-shot estimate, or over a sequence of finite time intervals for sequential least squares, the underlying computations utilize a fast fourier transform algorithm on polynomials of the data without the need for estimating unknown initial or boundary conditions at the start of each finite time interval. Author

Descriptors:

• *INPUT OUTPUT MODELS
• *NONLINEAR SYSTEMS
• CONTROL THEORY
• DIFFERENTIAL EQUATIONS
• MATHEMATICAL MODELS
• POLYNOMIALS
• REPRINTS

Subject Categories:

• Human Factors Engineering and Man Machine Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE