Title :
A simple method for deriving J-spectral factors
Author :
Shaked, U. ; Yaesh, I.
Author_Institution :
Dept. of Electr. Eng.-Syst., Tel-Aviv Univ., Israel
fDate :
6/1/1992 12:00:00 AM
Abstract :
A simple method is presented for deriving the J-spectral factor of a transfer function matrix explicitly in terms of the parameters of this matrix. This method provides closed-form expressions for the J-spectral factor and its inverse which only require a solution of a single linear Sylvester equation. This method can be easily applied in the solution of the H∞-optimal regulation problem, and it provides useful geometric insight into the structure of the optimal regulator return difference matrix
Keywords :
matrix algebra; optimal control; transfer functions; H∞-optimal regulation; J-spectral factors; closed-form expressions; factorisation; linear Sylvester equation; matrix algebra; optimal control; transfer function matrix; Closed-form solution; Controllability; Difference equations; Eigenvalues and eigenfunctions; Observability; Regulators; Riccati equations; Systems engineering and theory; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
