Title :
A modification of the Nevanlinna algorithm on the solution of the H∞m×n-optimization problem
Author :
Yeh, Fang-Bo ; Hwang, Thong-shing
Author_Institution :
Dept. of Math., Tunghai Univ., Taichung, Taiwan
fDate :
6/1/1989 12:00:00 AM
Abstract :
A modification of the Nevanlinna algorithm is presented for the solution of the H∞m×m-optimization problem. This is an essential modification when the Nevanlinna algorithm is applied to find the extremal function of the matrix H∞ interpolation problem which deals with the case that the interpolation points have multiplicities. For the computation of the minimal H∞-norm, a pure matrices computational algorithm is used where the formulation is solely in terms of the coefficients of the inner function
Keywords :
interpolation; matrix algebra; optimisation; H∞m×n-optimization; Nevanlinna algorithm; matrix H∞ interpolation; minimal H∞-norm; Design optimization; Frequency; H infinity control; Helium; Hydrogen; Interpolation; Minimax techniques; Optimal control; Robustness; Signal design;
Journal_Title :
Automatic Control, IEEE Transactions on