### Abstract

We present a study on the suppression of flow-induced vibration using a simple control algorithm with an assumption that the disturbance as well as the system parameters are bounded variables. By introducing three different control signals, we explore three schemes, namely, robust control, sliding mode, and adaptive control. The control schemes are implemented numerically with a few illustrative examples, which includes a bounded chaotic system. It is demonstrated that all three schemes can be effectively used for fluid-structure interaction systems. In addition, with these numerical examples, we also illustrate various advantages and disadvantages of different control schemes. In general, robust control and adaptive control schemes are (globally) ultimately uniformly bounded, whereas sliding mode scheme is (globally) asymptotically stable. Thus, as we further reduce the integration time step, the residual of robust control and adaptive control schemes will approach to a bounded (finite) asymptotic function, and the residual of sliding mode scheme will approach to zero. Furthermore, due to self-tuning, the gain of adaptive control scheme is relatively small, yet, the computation cost is higher because of the excessively small time step requirement for the numerical integration. With respect to sliding mode scheme, the control signal is discontinuous due to the sign function and consequently, the practical implementation has fast switching fluctuations (chattering).

Original language | English (US) |
---|---|

Title of host publication | American Society of Mechanical Engineers, Design Engineering Division (Publication) DE |

Editors | H.R. Hamidzadeh, H. Rahnejat, A.C.J. Luo |

Pages | 237-246 |

Number of pages | 10 |

Volume | 111 |

State | Published - 2001 |

Event | 2001 ASME International Mechanical Engineering Congress and Exposition - New York, NY, United States Duration: Nov 11 2001 → Nov 16 2001 |

### Other

Other | 2001 ASME International Mechanical Engineering Congress and Exposition |
---|---|

Country | United States |

City | New York, NY |

Period | 11/11/01 → 11/16/01 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*American Society of Mechanical Engineers, Design Engineering Division (Publication) DE*(Vol. 111, pp. 237-246)

**On the suppression of flow-induced vibration with a simple control algorithm.** / Carbonell, Pablo; Wang, Xiaodong; Jiang, Zhong-Ping.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*American Society of Mechanical Engineers, Design Engineering Division (Publication) DE.*vol. 111, pp. 237-246, 2001 ASME International Mechanical Engineering Congress and Exposition, New York, NY, United States, 11/11/01.

}

TY - GEN

T1 - On the suppression of flow-induced vibration with a simple control algorithm

AU - Carbonell, Pablo

AU - Wang, Xiaodong

AU - Jiang, Zhong-Ping

PY - 2001

Y1 - 2001

N2 - We present a study on the suppression of flow-induced vibration using a simple control algorithm with an assumption that the disturbance as well as the system parameters are bounded variables. By introducing three different control signals, we explore three schemes, namely, robust control, sliding mode, and adaptive control. The control schemes are implemented numerically with a few illustrative examples, which includes a bounded chaotic system. It is demonstrated that all three schemes can be effectively used for fluid-structure interaction systems. In addition, with these numerical examples, we also illustrate various advantages and disadvantages of different control schemes. In general, robust control and adaptive control schemes are (globally) ultimately uniformly bounded, whereas sliding mode scheme is (globally) asymptotically stable. Thus, as we further reduce the integration time step, the residual of robust control and adaptive control schemes will approach to a bounded (finite) asymptotic function, and the residual of sliding mode scheme will approach to zero. Furthermore, due to self-tuning, the gain of adaptive control scheme is relatively small, yet, the computation cost is higher because of the excessively small time step requirement for the numerical integration. With respect to sliding mode scheme, the control signal is discontinuous due to the sign function and consequently, the practical implementation has fast switching fluctuations (chattering).

AB - We present a study on the suppression of flow-induced vibration using a simple control algorithm with an assumption that the disturbance as well as the system parameters are bounded variables. By introducing three different control signals, we explore three schemes, namely, robust control, sliding mode, and adaptive control. The control schemes are implemented numerically with a few illustrative examples, which includes a bounded chaotic system. It is demonstrated that all three schemes can be effectively used for fluid-structure interaction systems. In addition, with these numerical examples, we also illustrate various advantages and disadvantages of different control schemes. In general, robust control and adaptive control schemes are (globally) ultimately uniformly bounded, whereas sliding mode scheme is (globally) asymptotically stable. Thus, as we further reduce the integration time step, the residual of robust control and adaptive control schemes will approach to a bounded (finite) asymptotic function, and the residual of sliding mode scheme will approach to zero. Furthermore, due to self-tuning, the gain of adaptive control scheme is relatively small, yet, the computation cost is higher because of the excessively small time step requirement for the numerical integration. With respect to sliding mode scheme, the control signal is discontinuous due to the sign function and consequently, the practical implementation has fast switching fluctuations (chattering).

UR - http://www.scopus.com/inward/record.url?scp=0242637654&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242637654&partnerID=8YFLogxK

M3 - Conference contribution

VL - 111

SP - 237

EP - 246

BT - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

A2 - Hamidzadeh, H.R.

A2 - Rahnejat, H.

A2 - Luo, A.C.J.

ER -