Online parameter estimation using matrix pseudoinverse

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Online parameter estimation using matrix pseudoinverse

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A method based on the matrix pseudoinverse is presented for the online identification of discrete-time systems of known order. Recursive algorithms are described which provide minimum-norm estimates of the parameter vector when insufficient data are available, and least-squares estimates with adequate data. These estimates can be updated easily with each pair of additional input-output data, as matrix inversion is not required. When the order of the system is not known, it may be determined offline using one of the two methods described. A recursive algorithm for calculating the residual error is also derived. A number of examples are given to illustrate the usefulness of the methods.

Inspec keywords: online operation; discrete time systems; matrix algebra; identification

Other keywords: discrete time systems; contaminating noise; minimum norm estimates; least square estimates; input output data; residual error; mathematical model; matrix pseudoinverse; matrix inversion; a priori probability density; noise; statistics; physical plant; parameter vector; online identification; recursive algorithm

Subjects: Simulation, modelling and identification; Discrete control systems

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