Adaptive boundary control of a vibrating cantilever nanobeam considering small scale effects
| Autor: | Yuhua Song, We He, Xinling Yue, Jianxiao Zou |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov stability
0209 industrial biotechnology Partial differential equation Cantilever Adaptive control Applied Mathematics 020208 electrical & electronic engineering Mathematical analysis Vibration control 02 engineering and technology Computer Science Applications Vibration 020901 industrial engineering & automation Control and Systems Engineering Ordinary differential equation 0202 electrical engineering electronic engineering information engineering Boundary value problem Electrical and Electronic Engineering Instrumentation Mathematics |
| Zdroj: | ISA Transactions. 105:77-85 |
| ISSN: | 0019-0578 |
| Popis: | This paper presents vibration control analysis for a cantilever nanobeam system. The dynamics of the system is obtained by the non-local elastic relationship which characterizes the small scale effects. The boundary conditions and governing equation are respectively expressed by several ordinary differential equations (ODE) and a partial differential equation (PDE) with the help of the Hamilton's principle. Model-based control and adaptive control are both designed at the free end to regulate the vibration in the control section. By employing the Lyapunov stability approach, the system state can be proven to be substantiated to converge to zero's small neighbourhood with appropriate parameters. Simulation results illustrate that the designed control is feasible for the nanobeam system. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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