Lyapunov-based Stability Analysis for Conveying Fluid Pipe with Nonlinear Energy Sink
| Autor: | Wei Wang, Chongquan Zhong, Nan Duan, Xi-Ming Sun, Yuhu Wu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov stability
Lyapunov function 0209 industrial biotechnology Partial differential equation 020208 electrical & electronic engineering Mathematical analysis 02 engineering and technology Fluid pipe Physics::Fluid Dynamics Nonlinear system symbols.namesake 020901 industrial engineering & automation Exponential stability Control and Systems Engineering Ordinary differential equation 0202 electrical engineering electronic engineering information engineering symbols Galerkin method Mathematics |
| Zdroj: | IFAC-PapersOnLine. 53:9157-9162 |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2020.12.2161 |
| Popis: | This paper considers the stability of a conveying fluid pipe with nonlinear energy sink (NES), which is a passive vibration controller. Based on the Galerkin approximation method, the fourth-order partial differential equation (PDE) model of the conveying fluid pipe-NES system is converted into an ordinary differential equation (ODE) form. Then, based on the first order characterization of convexity and energy disturbances technique under the framework of Lyapunov stability theory, global exponential stability of the conveying fluid pipe-NES system is obtained. |
| Databáze: | OpenAIRE |
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