Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/75653
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dc.contributor.authorFilippova, T. F.en
dc.date.accessioned2019-07-22T06:48:08Z-
dc.date.available2019-07-22T06:48:08Z-
dc.date.issued2017-
dc.identifier.citationFilippova T. F. Estimation problems for uncertain nonlinear dynamical systems with ellipsoidal state constraints / T. F. Filippova // Procedia Engineering. — 2017. — Vol. 199. — P. 607-612.en
dc.identifier.issn1877-7058-
dc.identifier.otherhttps://doi.org/10.1016/j.proeng.2017.09.104pdf
dc.identifier.other1good_DOI
dc.identifier.other4a812392-da86-4aa6-bb2b-9e8f9f674cb8pure_uuid
dc.identifier.otherhttp://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85029908072m
dc.identifier.urihttp://hdl.handle.net/10995/75653-
dc.description.abstractThe paper deals with the estimation problems for uncertain nonlinear dynamical systems in the case when a probabilistic description of noise and errors is not available, but only bounds on them known. Such models are found in many applied areas ranged from engineering problems from physics to economics as well as to biological and ecological modeling when it occurs that a stochastic nature of the errors is questionable because of limited data or because of complexity and nonlinearity of the model. As alternative to a stochastic characterization, a so-called set-membership approach has been proposed and intensively developed in the last decades. The solution of many control and estimation problems under uncertainty involves constructing reachable sets and their analogs. For models with linear dynamics under such set-membership uncertainty, there are several constructive approaches, which allow finding effective estimates of reachable sets. Certainly, concrete problems are mostly nonlinear in their parameters and the set of feasible system states is usually non-convex or even non-connected. The key issue in nonlinear set-membership estimation is to find suitable techniques, which produce related bounds for the set of unknown system states without being too computationally demanding. Here the problem of estimating reachable sets of nonlinear dynamical control systems with combined bilinear and quadratic nonlinearity and with uncertainty in initial states is studied. Applying results of the theory of trajectory tubes of control systems and related techniques of differential inclusions theory we present approaches that allow finding the upper ellipsoidal estimates of reachable sets. The main new result consists in obtaining ellipsoidal estimates for reachable sets of nonlinear dynamical system with additional state constraint of ellipsoidal type. Related numerical algorithms, examples and results of computer simulations are included. © 2017 The Authors. Published by Elsevier Ltd.en
dc.description.sponsorshipThe research was supported by the Russian Foundation for Basic Researches (under RFBR Projects No.15-01-02368-a and No.16-29-04191-ofi-m) and by the Project Positional Differential Games, Hamilton-Jacobi Equations and Applications in the framework of the Research Program Mathematical Problems of Modern Control Theory of the Presidium of Russian Academy of Sciences.en
dc.language.isoenen
dc.publisherElsevier Ltden
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceProcedia Engineeringen
dc.subjectELLIPSOIDAL CALCULUSen
dc.subjectESTIMATION UNDER UNCERTAINTYen
dc.subjectNONLINEAR CONTROL SYSTEMSen
dc.subjectREACHABLE SETSen
dc.subjectCALCULATIONSen
dc.subjectCONTROL SYSTEMSen
dc.subjectCONTROL THEORYen
dc.subjectDYNAMICAL SYSTEMSen
dc.subjectDYNAMICSen
dc.subjectNONLINEAR CONTROL SYSTEMSen
dc.subjectNONLINEAR DYNAMICAL SYSTEMSen
dc.subjectSTOCHASTIC MODELSen
dc.subjectSTOCHASTIC SYSTEMSen
dc.subjectSTRUCTURAL DYNAMICSen
dc.subjectUNCERTAINTY ANALYSISen
dc.subjectDIFFERENTIAL INCLUSIONSen
dc.subjectELLIPSOIDAL CALCULUSen
dc.subjectNONLINEAR DYNAMICAL CONTROLen
dc.subjectNONLINEAR SET MEMBERSHIPen
dc.subjectPROBABILISTIC DESCRIPTIONSen
dc.subjectQUADRATIC NONLINEARITIESen
dc.subjectREACHABLE SETen
dc.subjectSET MEMBERSHIP APPROACHen
dc.subjectNONLINEAR ANALYSISen
dc.titleEstimation problems for uncertain nonlinear dynamical systems with ellipsoidal state constraintsen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.conference.name10th International Conference on Structural Dynamics, EURODYN 2017en
dc.conference.date10 September 2017 through 13 September 2017-
dc.identifier.doi10.1016/j.proeng.2017.09.104-
dc.identifier.scopus85029908072-
local.affiliationKrasovskii Institute of Mathematics and Mechanics, Russian Academy of Sciences, 16 S. Kovalevskaya str., Ekaterinburg, 620990, Russian Federationen
local.affiliationUral Federal University, 19 Mira str, Ekaterinburg, 620002, Russian Federationen
local.contributor.employeeФилиппова Татьяна Федоровнаru
local.description.firstpage607-
local.description.lastpage612-
local.volume199-
dc.identifier.wos000422868900095-
local.identifier.pure2120128-
local.identifier.eid2-s2.0-85029908072-
local.identifier.wosWOS:000422868900095-
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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