
Accession Number : AD0765170
Title : The HMatrix Representation and System Realization.
Descriptive Note : Technical rept.,
Corporate Author : AEROSPACE RESEARCH LABS WRIGHTPATTERSON AFB OHIO
Personal Author(s) : Audley,David R.
Report Date : JUL 1973
Pagination or Media Count : 84
Abstract : The Hmatrix representation for constant parameter linear systems is presented as an input/output description which is well suited for system identification and realization theories. The concept of a canonical representation and the measurements required to determine this representation are discussed. The minimal complete realization problem is solved for the Hmatrix representation based on exponential signals. The connections between this approach and the identification and realization theories based on the Hankel matrix of Markov parameters are exhibited. A more general basis for considering both the complete and partial realization problems of constant parameter, linear systems is proposed. Several interpretations of this generalization of the Markov parameter approach to the realization problems are considered; these interpretations being with respect to both the type of information used and the nature of the partial realizations obtained. Aside from the Markov parameter interpretation there is the possibility of basing realizations on moment coefficients or the Hmatrix representation among others. The relationship of control invariants to these realizations is exposed as a first step in the general characterization of the equivalence class of realizations. Finally, a stability property is introduced for the realizations in connection with the data sets of the input/output map. (Author)
Descriptors : (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), LINEAR SYSTEMS, MATRICES(MATHEMATICS), STOCHASTIC PROCESSES, SET THEORY, TRANSFER FUNCTIONS, THEOREMS, THESES
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE