A feedback control strategy for the airfoil system under non-Gaussian colored noise excitation. (English) Zbl 1374.70068
Summary: The stability of a binary airfoil with feedback control under stochastic disturbances, a non-Gaussian colored noise, is studied in this paper. First, based on some approximated theories and methods the non-Gaussian colored noise is simplified to an Ornstein-Uhlenbeck process. Furthermore, via the stochastic averaging method and the logarithmic polar transformation, one dimensional diffusion process can be obtained. At last by applying the boundary conditions, the largest Lyapunov exponent which can determine the almost-sure stability of the system and the effective region of control parameters is calculated.{
©2014 American Institute of Physics}
©2014 American Institute of Physics}
MSC:
| 70Q05 | Control of mechanical systems |
| 93B52 | Feedback control |
| 93E15 | Stochastic stability in control theory |
| 76B10 | Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing |
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