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Upravlenie Bol'shimi Sistemami, 2015, Issue 57, Pages 37–52 (Mi ubs834)  
Mathematical Control Theory

Optimization of nonlinear cascade systems in lurie form with bounded external disturbances

E. V. Usik

Saint-Petersburg State University
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Abstract: We consider nonlinear cascade systems in Lurie form with bounded disturbances and solve the optimal control problem using the method of invariant ellipsoids. The obtained result is compared with the previously obtained classic result based on Lyapunov function.
Keywords: passification, backstepping, LMI, method of invariant ellipsoids.
English version:
Automation and Remote Control, 2017, Volume 78, Issue 7, Pages 1350–1359
DOI: https://doi.org/10.1134/S0005117917070165
Bibliographic databases:
Document Type: Article
UDC: 62-50
BBC: 78.34
Language: Russian
Citation: E. V. Usik, “Optimization of nonlinear cascade systems in lurie form with bounded external disturbances”, UBS, 57 (2015), 37–52; Autom. Remote Control, 78:7 (2017), 1350–1359
Citation in format AMSBIB
\Bibitem{Usi15}
\by E.~V.~Usik
\paper Optimization of nonlinear cascade systems in lurie form with bounded external disturbances
\jour UBS
\yr 2015
\vol 57
\pages 37--52
\mathnet{http://mi.mathnet.ru/ubs834}
\elib{https://elibrary.ru/item.asp?id=25871405}
\transl
\jour Autom. Remote Control
\yr 2017
\vol 78
\issue 7
\pages 1350--1359
\crossref{https://doi.org/10.1134/S0005117917070165}
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