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This article is cited in 6 scientific papers (total in 6 papers)
Synthesis of multivariable systems according to engineering quality criteria based on $H_\infty$-optimization
V. N. Chestnov Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
We solve the output controller synthesis problem for multivariable systems, guaranteeing the following parameters, either predefined or achievable: control errors, stability margin radius, and control time under the action of polyharmonic external disturbances with unknown amplitudes (with a limit on their sum), frequencies, and an unbounded number of harmonics. Our approach to solving the problem is based on a specially designed standard $H_\infty$-optimization problem and a new rule for choosing a weight matrix for a given accuracy. For the first time, we give a physical interpretation of the stability margin radius of multivariable systems in terms of Nyquist hodographs for individual contours that are open at the output of the plant. We prove a connection between the absolute stability property of a closed-loop system and the radius of stability margin. We consider the example of synthesis for an interconnected electric drive.
Keywords:
bounded external disturbances, control errors, settling time, stability margin radius, absolute stability.
Received: 19.07.2018 Revised: 14.08.2018 Accepted: 08.11.2018
Citation:
V. N. Chestnov, “Synthesis of multivariable systems according to engineering quality criteria based on $H_\infty$-optimization”, Avtomat. i Telemekh., 2019, no. 10, 132–152; Autom. Remote Control, 80:10 (2019), 1861–1877
Linking options:
https://www.mathnet.ru/eng/at15368 https://www.mathnet.ru/eng/at/y2019/i10/p132
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Abstract page: | 321 | Full-text PDF : | 72 | References: | 39 | First page: | 14 |
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