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