On the damping of a ladder-type vibration system subjected to uncertain perturbationsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The present paper deals with the solution of the control synthesis problem for higher-dimensional
vibration systems. We give efficient schemes for solving such problems for systems subjected to
unknown but bounded perturbations, including those in resonance with the system. Our approach
is based on the evaluation of weakly invariant multimappings known as the solvability sets for
the synthesis problem or backward attainability domains (Krasovskii bridges) [1]. These sets are
further used in the framework of dynamic programming to construct the corresponding control
strategies and study the possibility of damping system oscillations in given finite time for various
system parameters and perturbations. We note the role of ellipsoidal numerical methods for this
range of problems. Along with theoretical considerations, in the present paper, we give numerical
modeling results obtained with the use of special ellipsoidal calculus software for the computation
of the desired attainability domains. This software permits one to solve problems of realistically
high dimension when the solution time is limited.