Title :
Closed forms for the Levinson coefficients of polynomial compensators and inverse systems
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
8/1/1990 12:00:00 AM
Abstract :
The least-squares transformation of a discrete-time multivariable linear system into a desired system by convolving the first with a polynomial system yields optimal polynomial solutions to the problems of system compensation, inversion, and approximation. The polynomial coefficients are obtained from the solution of a normal linear matrix equation whose coefficients are shown to be the weighting patterns of certain linear systems. These can then be used in the recursive solution of the normal equation
Keywords :
discrete time systems; linear systems; matrix algebra; multivariable systems; polynomials; Levinson coefficients; discrete-time multivariable linear system; inverse systems; least-squares transformation; linear matrix; polynomial compensators; Automatic control; Control systems; Equations; Least squares approximation; Linear systems; Optimal control; Performance loss; Polynomials; Robust control; Sampling methods;
Journal_Title :
Automatic Control, IEEE Transactions on
