Frequency Domain Solution to the Delay-type Nehari Problem
نویسنده
چکیده
Abstract This paper presents a frequency domain solution to the delay-type Nehari problem. The solvability condition is formulated in terms of nonsingularities of three matrices. The optimal value is the maximal value such that one of the three matrices becomes singular when decreases from to . The all sub-optimal compensators are parameterized in a transparent structure with a modified Smith predictor. The -spectral factorization of a general para-Hermitian matrix is also given in this paper as a requisite for proof. Copyright c 2002 IFAC.
منابع مشابه
State-Space Formulas for the Nehari--Takagi Problem for Nonexponentially Stable Infinite-Dimensional Systems
We obtain state-space formulas for the solution of the Nehari-Takagi/sub-optimal Hankel norm approximation problem for infinite-dimensional systems with a nonexponentially stable generator, via the method of J-spectral factorization. We make key use of a purely frequency domain solution of the problem. AMS mathematical subject classification numbers: 41A30, 47B35, 47B50, 47N70, 93B28.
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