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 Avtomat. i Telemekh.: Year: Volume: Issue: Page: Find

 Avtomat. i Telemekh., 2014, Issue 10, Pages 6–24 (Mi at14129)

Linear Systems

Extremal pole placement in control systems with a low order controller

Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We develop an optimizational approach to the design of linear control systems with a low order controller. The objective function is given by the right boundary of the location of poles in the closed-loop system, which depends on the values of controller parameters. We specify the types of mutual pole placements (root diagrams) corresponding to singular manifolds of such functions in the space of parameters and, in particular, their critical points. We establish the exact number of critical root diagrams depending on the dimension of the parameter space. With the example of finding a stabilizing control for a triple mathematical pendulum, we demonstrate the algebraic approach to finding the global minimum of the objective function.

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English version:
Automation and Remote Control, 2014, 75:10, 1717–1731

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Presented by the member of Editorial Board: Á. Ò. Ïîëÿê

Citation: A. V. Chekhonadskikh, “Extremal pole placement in control systems with a low order controller”, Avtomat. i Telemekh., 2014, no. 10, 6–24; Autom. Remote Control, 75:10 (2014), 1717–1731

Citation in format AMSBIB
\Bibitem{Che14} \by A.~V.~Chekhonadskikh \paper Extremal pole placement in control systems with a~low order controller \jour Avtomat. i Telemekh. \yr 2014 \issue 10 \pages 6--24 \mathnet{http://mi.mathnet.ru/at14129} \transl \jour Autom. Remote Control \yr 2014 \vol 75 \issue 10 \pages 1717--1731 \crossref{https://doi.org/10.1134/S0005117914100014} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000343751700001} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84911983985} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. B. Kada, “Two-channel pitch/yaw missile autopilot design using arbitrary order sliding modes based pole placement”, Aeronaut. J., 119:1216 (2015), 765–779
2. D. V. Armeev, A. V. Chekhonadskikh, A. A. Voevoda, “Modal optimization of avr for synchronous generator using the finite gradient”, 2015 international siberian conference on control and communications (sibcon), IEEE, 2015
3. A. V. Chekhonadskikh, A. A. Voevoda, “Algebraic design method of low order control systems”, 2015 international siberian conference on control and communications (sibcon), IEEE, 2015
4. A. V. Chekhonadskikh, A. A. Voevoda, “Algebraic design of lti control systems using spaced pole localization”, 2016 11th international forum on strategic technology (ifost), pts 1 and 2, IEEE, 2016
5. D. V. Armeev, Ya. A. Frolova, A. G. Rusina, E. S. Ivkin, “Applying of the electrical equivalent method for multi-objective power flow optimization”, 2016 11th international forum on strategic technology (ifost), pts 1 and 2, IEEE, 2016
6. A. V. Chekhonadskikh, “Some classical number sequences in control system design”, Sib. elektron. matem. izv., 14 (2017), 620–628
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