On control of dynamic of a pipeline
P. A. Velmisov1, A. V. Gladun2
| Annotation | The problem of control of a mechanical system, which is a hollow elastic rod with a fluid or gas, flowing inside it (pipeline), is investigated. The feedback controls to provide the asymptotic stability of the pipeline vibrations are constructed. The results of numerical simulation of the behavior of the mechanical system under the action of constructed controls with given parameters are presented. |
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| Keywords | elastic pipeline, dynamics, controllability, feedback control, Lyapunov function, partial differential equations, Galerkin method |
1 Head of Higher Mathematics Chair, Ulyanovsk State Technical University, Ulyanovsk; velmisov@ulstu.ru.%
2Associate Professor of the Department of Physical and Mathematical Sciences, Ulyanovsk Civil Aviation Institute named after Chief Marshal of Aviation B. P. Bugaev, Ulyanovsk; aleksygladun@gmail.com%
Citation: P. A. Velmisov, A. V. Gladun , "[On control of dynamic of a pipeline]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:4 (2016) 89–97 (In Russian)
