论文信息 - Optimal approximation of high-order systems subject to polynomial inputs

Optimal approximation of high-order systems subject to polynomial inputs

Abstract In this paper the optimal approximation of a high-order system, subject to polynomial inputs, is investigated. It is shown that the constraints on the asymptotic behaviour are easily taken into account as structure constraints. Thus the problem is reduced to a minimization without constraint. Expressions for the gradient of the criterion are then given in the case of a unit step response. An extension to the case of unstable systems is also proposed.

P. Bertrand | J. Siret | G. Michailesco

[1] Roger Fletcher,et al. A Rapidly Convergent Descent Method for Minimization , 1963, Comput. J..

[2] Antony Jameson,et al. Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix , 1968 .

[3] P. Kokotovic,et al. Near-optimum design of linear systems by a singular perturbation method , 1969 .

[4] D. Wilson. Optimum solution of model-reduction problem , 1970 .

[5] J. Aplevich. Approximation of discrete linear systems , 1973 .

[6] F. D. Galiana,et al. On the approximation of multiple input-multiple output constant linear systems† , 1973 .

[7] J. B. Riggs,et al. Least squares reduction of linear systems using impulse response , 1974 .

[8] J. K. Donnelly,et al. A method for simplifying linear multivariable dynamic systems , 1974 .

[9] Thomas F. Edgar,et al. Least squares model reduction using step response , 1975 .

[10] G. Kreisselmeier,et al. On optimal approximation of high-order linear systems by low-order models , 1975 .

[11] P. Bertrand,et al. Representation of linear dynamical systems by aggregated models , 1977 .