This paper is devoted to H∞-optimization problem for LTI systems with scalar control and external disturbance signals and with no noisy multivariate measurement signal. The solution of this problem is not unique, that provides possibility to construct the controller with desired structure and additional properties. Besides, the absence of the measurement noise makes solution of this problem with implementation of standard H-Theory methods, such as various modifications of 2-Riccati or LMI technique, impossible. A special analytical spectral approach in frequency domain based on polynomial factorization can be used that increases computational efficiency. Its theoretical description and example of practical implementation are presented in this paper.