Control design for partial stabilization of nonlinear mechanical systems with random disturbances
Optimization and Control
2020-06-02 v1 Probability
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.
Cite
@article{arxiv.2006.00611,
title = {Control design for partial stabilization of nonlinear mechanical systems with random disturbances},
author = {Alexander Zuyev and Iryna Vasylieva},
journal= {arXiv preprint arXiv:2006.00611},
year = {2020}
}
Comments
Submitted to the Transactions of the Institute of Mathematics, National Academy of Sciences of Ukraine