Accession Number : AD0766160

Title :   Frequency-Domain Synthesis of Optimal Inputs for Linear System Parameter Estimation.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS DIV OF ENGINEERING AND APPLIED PHYSICS

Personal Author(s) : Mehra,R. K.

Report Date : JUL 1973

Pagination or Media Count : 51

Abstract : The paper formulates the problem of estimating parameters in linear multi-input multi-output dynamic systems as a regression problem in frequency domain. An expression for the information matrix is derived and its properties are studied. A frequency domain condition on the input for the nonsingularity of the information matrix is obtained. It is shown that a deterministic input with a point spectrum can always be found for single input multi-output systems such that it has the same information matrix as a mixed input (stochastic and deterministic) whose spectrum contains both continuous and discrete parts. A number of different criteria used in the design of regression experiments are stated and their relevance to input design is examined. (Modified author abstract)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), LINEAR SYSTEMS, REGRESSION ANALYSIS, MATRICES(MATHEMATICS), TRANSFER FUNCTIONS, PARTIAL DIFFERENTIAL EQUATIONS, FREQUENCY, SYNTHESIS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE