Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 4, Pages 498–509
DOI: https://doi.org/10.17516/1997-1397-2016-9-4-498-509 (Mi jsfu512) 		 
This article is cited in 4 scientific papers (total in 4 papers)

State-feedback control principles for inverted pendulum with hysteresis in suspension

Mikhail E. Semenovabc, Zainib Hatif Abbasb, Igor N. Ishchukdc, Olesya I. Kanishchevabc, Peter A. Meleshenkoac

a Voronezh State University, Universitetskaya, 1, Voronezh, 394006
b Voronezh State University of Architecture and Civil Engineering, XX-letiya Oktyabrya, 84, Voronezh, 394006, Russia
c Zhukovsky–Gagarin Air Force Academy, Starykh Bolshevikov, 54-A, Voronezh, 394064
d Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (236 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-2016-9-4-498-509
Abstract: In this paper we consider the mathematical model of the inverted pendulum with the hysteretic nonlinearity (in the form of a backlash) under state feedback control. The analytic results for the stability criteria as well as for the solution of the linearized equation are observed and analyzed. The theorems that determine the stabilization of the considered system are formulated and discussed. The question on the optimal control of the system under consideration is also discussed and the corresponding theorem is considered.
Keywords: hysteretic nonlinearity, backlash, feedback principles, optimal control.
Funding agency Grant number
Russian Foundation for Basic Research 16-08-00312_a
15-08-02611_a
This work is supported by the RFBR, grants 16-08-00312-a and 15-08-02611-a.
Received: 27.04.2016
Received in revised form: 20.06.2016
Accepted: 15.08.2016
Bibliographic databases:
Document Type: Article
UDC: 51-74, 517.9, 531.536
Language: English
Citation: Mikhail E. Semenov, Zainib Hatif Abbas, Igor N. Ishchuk, Olesya I. Kanishcheva, Peter A. Meleshenko, “State-feedback control principles for inverted pendulum with hysteresis in suspension”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016), 498–509
Citation in format AMSBIB
\Bibitem{SemAbbIsh16}
\by Mikhail~E.~Semenov, Zainib~Hatif~Abbas, Igor~N.~Ishchuk, Olesya~I.~Kanishcheva, Peter~A.~Meleshenko
\paper State-feedback control principles for inverted pendulum with hysteresis in suspension
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 4
\pages 498--509
\mathnet{http://mi.mathnet.ru/jsfu512}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-4-498-509}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412010800014}
Linking options:
  • https://www.mathnet.ru/eng/jsfu512
  • https://www.mathnet.ru/eng/jsfu/v9/i4/p498
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:231
    Full-text PDF :107
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024