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arXiv · 2006.00611

Control design for partial stabilization of nonlinear mechanical systems with random disturbances

Alexander Zuyev·Iryna Vasylieva
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Abstract

The problem of partial stabilization for nonlinear control systems described by the Ito stochastic differential equations is considered. For these systems, we propose a constructive control design method which leads to establishing the asymptotic stability in probability of the trivial solution of the closed-loop system with respect to a part of state variables. Mechanical examples are presented to illustrate the efficiency of the obtained controllers.

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Alexander Zuyev, Iryna Vasylieva. 2020-05-31. Control design for partial stabilization of nonlinear mechanical systems with random disturbances. https://arxiv.org/abs/2006.00611

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