# A feedback control strategy for the airfoil system under non-Gaussian colored noise excitation

## Abstract

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.

- Authors:

- School of Energy and Power Engineering, Nanjing University of Science and Technology, 200 XiaoLingwei Street, Nanjing 210094 (China)

- Publication Date:

- OSTI Identifier:
- 22351016

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 24; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AIRFOILS; BOUNDARY CONDITIONS; COLOR; CONTROL; DIFFUSION; DISTURBANCES; EXCITATION; FEEDBACK; LYAPUNOV METHOD; NOISE; STOCHASTIC PROCESSES

### Citation Formats

```
Huang, Yong, E-mail: hy@njust.edu.cn, E-mail: taogang@njust.edu.cn, and Tao, Gang, E-mail: hy@njust.edu.cn, E-mail: taogang@njust.edu.cn.
```*A feedback control strategy for the airfoil system under non-Gaussian colored noise excitation*. United States: N. p., 2014.
Web. doi:10.1063/1.4891178.

```
Huang, Yong, E-mail: hy@njust.edu.cn, E-mail: taogang@njust.edu.cn, & Tao, Gang, E-mail: hy@njust.edu.cn, E-mail: taogang@njust.edu.cn.
```*A feedback control strategy for the airfoil system under non-Gaussian colored noise excitation*. United States. doi:10.1063/1.4891178.

```
Huang, Yong, E-mail: hy@njust.edu.cn, E-mail: taogang@njust.edu.cn, and Tao, Gang, E-mail: hy@njust.edu.cn, E-mail: taogang@njust.edu.cn. Mon .
"A feedback control strategy for the airfoil system under non-Gaussian colored noise excitation". United States.
doi:10.1063/1.4891178.
```

```
@article{osti_22351016,
```

title = {A feedback control strategy for the airfoil system under non-Gaussian colored noise excitation},

author = {Huang, Yong, E-mail: hy@njust.edu.cn, E-mail: taogang@njust.edu.cn and Tao, Gang, E-mail: hy@njust.edu.cn, E-mail: taogang@njust.edu.cn},

abstractNote = {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.},

doi = {10.1063/1.4891178},

journal = {Chaos (Woodbury, N. Y.)},

number = 3,

volume = 24,

place = {United States},

year = {Mon Sep 01 00:00:00 EDT 2014},

month = {Mon Sep 01 00:00:00 EDT 2014}

}

DOI: 10.1063/1.4891178

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