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Avtomatika i Telemekhanika, 2011, Issue 10, Pages 39–51
(Mi at2288)
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This article is cited in 1 scientific paper (total in 1 paper)
Topical issue
Synthesis of digital $H_\infty$-controllers for multidimensional systems with given accuracy with the mean squared criterion
Zh. V. Zatsepilovaa, V. N. Chestnovb a Moscow State Institute of Steel and Alloys, Moscow, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
We consider linear multidimensional objects subject to power bounded polyharmonic perturbances and measurement noise that contains an arbitrary number of harmonics with unknown amplitudes and frequencies. For such objects, we propose a synthesis method for digital state controllers and controllers with respect to measurable output. The problem of guaranteeing a desired accuracy is formulated as the problem of guaranteeing a given mean squared radius of the stabilized state [1]; our solution of this problem is based on the choice of weight matrices in the minimal quadratic functional of a discrete $H_\infty$-optimization problem. We give a synthesis algorithm for a digital controller in the LMI Control Toolbox package and a numerical example for an interconnected electric drive.
Citation:
Zh. V. Zatsepilova, V. N. Chestnov, “Synthesis of digital $H_\infty$-controllers for multidimensional systems with given accuracy with the mean squared criterion”, Avtomat. i Telemekh., 2011, no. 10, 39–51; Autom. Remote Control, 72:10 (2011), 2041–2052
Linking options:
https://www.mathnet.ru/eng/at2288 https://www.mathnet.ru/eng/at/y2011/i10/p39
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Statistics & downloads: |
Abstract page: | 274 | Full-text PDF : | 66 | References: | 47 | First page: | 12 |
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