Geodesic
Design of $H_2$-optimal controllers for time-delay systems. Spectral approach
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2012), pp. 9-17 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of $H_2$ optimization of a linear time-invariant system with delays is considered. The design method based on a spectral approach is proposed. The use of such approach for single input problems can greatly simplify the analysis and synthesis of optimal controllers in comparison with “2-Riccati” and LMI methods which are usually applied. Such simplification is highly important in implementing algorithms of adaptive adjustment of control laws for various dynamic objects in the real-time mode due to the possible resource constraints of digital devices that are forming control inputs for dynamic objects and various embedded systems.
Keywords: linear systems, optimization, space $H_2$, transfer function, delays, control laws. 
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A. I. Arefina. Design of $H_2$-optimal controllers for time-delay systems. Spectral approach. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2012), pp. 9-17. http://geodesic.mathdoc.fr/item/VSPUI_2012_1_a1/

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