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Название: Estimation problem for impulsive control systems under ellipsoidal state bounds and with cone constraint on the control
Авторы: Matviychuk, Oksana G.
Дата публикации: 2012
Аннотация: The paper deals with the state estimation problem for the linear control system containing impulsive control terms (or measures). The problem is studied here under uncertainty conditions when the initial system state is unknown but bounded, with given bound. It is assumed also that the system states should belong to the given ellipsoid in the state space. So the main problem of estimating the reachable set of the control system is studied here under more complicated assumption related to the case of state constraints. It is assumed additionally that impulsive controls in the dynamical system must belong to the intersection of a special cone with a generalized ellipsoid both taken in the space of functions of bounded variation. The last constraint is motivated by problems of impulsive control theory and by models from applied areas when not every direction of control impulses is acceptable in the system. We present here the state estimation algorithms that use the special structure of the control system and take into account additional restrictions on states and controls. The algorithms are based on ellipsoidal techniques for estimating the trajectory tubes of uncertain dynamical systems. Numerical simulation results related to proposed procedures are also given. © 2012 American Institute of Physics.
Ключевые слова: ESTIMATION
IMPULSIVE CONTROL
REACHABLE SETS
URI: http://elar.urfu.ru/handle/10995/51390
Условия доступа: info:eu-repo/semantics/openAccess
Конференция/семинар: 38th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2012
Дата конференции/семинара: 08.06.2012-13.06.2012
Идентификатор SCOPUS: 84873209818
Идентификатор PURE: 1066312
ISSN: 0094-243X
DOI: 10.1063/1.4766760
Располагается в коллекциях:Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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