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Transfer-function matrix identification in MIMO systems via shifted Legendre polynomials. (English) Zbl 0531.93022
Summary: A general algorithm is presented for the identification of the parameters in the transfer-function matrix of a multi-input-multi-output (MIMO) system. The approach adopted is that of expanding the system input and output variables in shifted Legendre series. The feasibility of the method lies in the generation of linear algebraic equations in the unknown parameters and initial conditions by means of an elegant operational matrix which relates shifted Legendre polynomials to their integrals. An example is included to illustrate the applicability of the proposed method.

93B30 System identification
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
93C35 Multivariable systems, multidimensional control systems
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
44A45 Classical operational calculus
93C05 Linear systems in control theory
93C99 Model systems in control theory
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