Abstract:
The results of constructive analysis and block design of the problems of autonomous control in the nonlinear dynamic systems were presented. As compared with the well-known results of the control theory, the method of state space expansion enabled augmentation of the class of systems that are controlled autonomously in the output variables. The state observers on sliding modes were used for the dataware of the basic algorithms. The procedures developed feature multilevel decomposition of the problem of high-dimensionality design into smaller independent subproblems.
Citation:
A. V. Utkin, “Method of state space expansion in the design of autonomous control”, Avtomat. i Telemekh., 2007, no. 6, 81–98; Autom. Remote Control, 68:6 (2007), 1006–1022
\Bibitem{Ant07}
\by A.~V.~Utkin
\paper Method of state space expansion in the design of autonomous control
\jour Avtomat. i Telemekh.
\yr 2007
\issue 6
\pages 81--98
\mathnet{http://mi.mathnet.ru/at1003}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2352081}
\zmath{https://zbmath.org/?q=an:1142.93340}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 6
\pages 1006--1022
\crossref{https://doi.org/10.1134/S0005117907060082}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547371479}
Linking options:
https://www.mathnet.ru/eng/at1003
https://www.mathnet.ru/eng/at/y2007/i6/p81
This publication is cited in the following 18 articles:
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Anton V. Utkin, Victor A. Utkin, 2018 14th International Conference “Stability and Oscillations of Nonlinear Control Systems” (Pyatnitskiy's Conference) (STAB), 2018, 1
Anton V. Utkin, Victor A. Utkin, 2018 Eleventh International Conference “Management of large-scale system development” (MLSD, 2018, 1
S. A. Krasnova, V. A. Utkin, A. V. Utkin, “Block approach to analysis and design of the invariant nonlinear tracking systems”, Autom. Remote Control, 78:12 (2017), 2120–2140
V. A. Utkin, A. V. Utkin, “Problem of tracking in linear systems with parametric uncertainties under unstable zero dynamics”, Autom. Remote Control, 75:9 (2014), 1577–1592
S. A. Krasnova, A. V. Utkin, “Analysis and synthesis of minimum phase nonlinear SISO-systems under the action of external mismatched disturbances”, Automation and Remote Control, 77:9 (2016), 1665–1675
Krasnova S.A. Utkin V.A., “the Block Design of Invariant Tracking System For Mimo Nonlinear Control Plant”, 2014 13Th International Workshop on Variable Structure Systems (Vss), IEEE International Workshop on Variable Structure Systems, IEEE, 2014
Anton V. Utkin, Victor A. Utkin, Svetlana A. Krasnova, “Tracking Problem for Linear Systems with Parametric Uncertainties and Unstable Zero Dynamics”, IFAC Proceedings Volumes, 47:3 (2014), 3821
Svetlana A. Krasnova, Victor A. Utkin, 2014 13th International Workshop on Variable Structure Systems (VSS), 2014, 1
S. A. Krasnova, T. G. Sirotina, V. A. Utkin, “A structural approach to robust control”, Autom. Remote Control, 72:8 (2011), 1639–1666
S. A. Kochetkov, V. A. Utkin, “Method of decomposition in mobile robot control”, Autom. Remote Control, 72:10 (2011), 2084–2099
Krasnova S.A., “Kompleksnyi podkhod k probleme nablyudeniya v sistemakh slezheniya pri deistvii vneshnikh vozmuschenii”, Uchenye zapiski Rossiiskogo gosudarstvennogo sotsialnogo universiteta, 2011, no. 9, 25–31
A. G. Akhobadze, S. A. Krasnova, “Reshenie zadachi slezheniya v usloviyakh neopredelennosti na osnove sovmestnoi blochno-kanonicheskoi formy upravlyaemosti i nablyudaemosti”, UBS, 24 (2009), 34–80
A. G. Akhobadze, S. A. Krasnova, “Tracking in linear MIMO systems under external perturbations”, Autom. Remote Control, 70:6 (2009), 933–957
S. A. Krasnova, V. A. Utkin, A. B. Utkin, Nguen Tkhan Tien, “Pryamoi metod sinteza sistemy upravleniya rabochim organom manipulyatora pri nepolnykh izmereniyakh”, Probl. upravl., 1 (2008), 10–18
Svetlana A. Krasnova, Victor A. Utkin, Anton V. Utkin, “Direct Method of Manipulator Endpoint Control Synthesis”, IFAC Proceedings Volumes, 41:2 (2008), 2388