Title :
On computing the spectral radius of the Hankel plus Toeplitz operator
Author :
Juang, Jyh-Ching ; Jonckheere, E.A.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
fDate :
11/1/1988 12:00:00 AM
Abstract :
The square root of the spectral radius of the Hankel plus Toeplitz operator has been shown to be the achievable performance of the mixed-sensitivity H∞ design. The computation of the spectral radius is the bottleneck in the synthesis of the H ∞ controller. In this paper, the spectral properties of the Hankel plus Toeplitz operator are investigated. A finite procedure for computing the spectral radius of the Hankel plus Toeplitz operator is proposed
Keywords :
control system synthesis; H∞ controller; Hankel plus Toeplitz operator; control system synthesis; mixed-sensitivity H∞ design; spectral radius; square root; Data analysis; Eigenvalues and eigenfunctions; Frequency response; H infinity control; Hilbert space; Hydrogen; Laplace equations; Stability; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on