Robust vibration control of flexible piezoelectric structure

Haifeng Yang; Xiaojun Wang; Zhiping Qiu

Robust vibration control of flexible piezoelectric structure

Haifeng Yang^*
, Xiaojun Wang
, Zhiping Qiu

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The robust vibration control for the flexible cantilever beam system with polytopic-type uncertainties and environmental disturbances is studied. Based on the state equation, the improved multi-objective H₂/H_∞ state-feedback robust control method is proposed for the flexible cantilever beam system by using a kind of extended linear matrix inequality (LMI). The presented method, which introduces multi Lyapunov functions for the polytopic-type uncertainties system, reduces the conservatism stemmed from the single Lyapunov function used in the unimproved method. The robust vibration control for the flexible cantilever beam system is simulated in Matlab by these two methods respectively. The results show that the flexible cantilever beam is well controlled via the two methods, and the improved method gets a better result.

Original language	English
Pages (from-to)	957-961
Number of pages	5
Journal	Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics
Volume	35
Issue number	8
State	Published - Aug 2009

Keywords

Cantilever beam
Piezoelectric materials
Robustness
State-feedback
Uncertain systems
Vibration control

Cite this

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title = "Robust vibration control of flexible piezoelectric structure",

abstract = "The robust vibration control for the flexible cantilever beam system with polytopic-type uncertainties and environmental disturbances is studied. Based on the state equation, the improved multi-objective H2/H∞ state-feedback robust control method is proposed for the flexible cantilever beam system by using a kind of extended linear matrix inequality (LMI). The presented method, which introduces multi Lyapunov functions for the polytopic-type uncertainties system, reduces the conservatism stemmed from the single Lyapunov function used in the unimproved method. The robust vibration control for the flexible cantilever beam system is simulated in Matlab by these two methods respectively. The results show that the flexible cantilever beam is well controlled via the two methods, and the improved method gets a better result.",

keywords = "Cantilever beam, Piezoelectric materials, Robustness, State-feedback, Uncertain systems, Vibration control",

author = "Haifeng Yang and Xiaojun Wang and Zhiping Qiu",

year = "2009",

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journal = "Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics",

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publisher = "Beijing University of Aeronautics and Astronautics (BUAA)",

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TY - JOUR

T1 - Robust vibration control of flexible piezoelectric structure

AU - Yang, Haifeng

AU - Wang, Xiaojun

AU - Qiu, Zhiping

PY - 2009/8

Y1 - 2009/8

N2 - The robust vibration control for the flexible cantilever beam system with polytopic-type uncertainties and environmental disturbances is studied. Based on the state equation, the improved multi-objective H2/H∞ state-feedback robust control method is proposed for the flexible cantilever beam system by using a kind of extended linear matrix inequality (LMI). The presented method, which introduces multi Lyapunov functions for the polytopic-type uncertainties system, reduces the conservatism stemmed from the single Lyapunov function used in the unimproved method. The robust vibration control for the flexible cantilever beam system is simulated in Matlab by these two methods respectively. The results show that the flexible cantilever beam is well controlled via the two methods, and the improved method gets a better result.

AB - The robust vibration control for the flexible cantilever beam system with polytopic-type uncertainties and environmental disturbances is studied. Based on the state equation, the improved multi-objective H2/H∞ state-feedback robust control method is proposed for the flexible cantilever beam system by using a kind of extended linear matrix inequality (LMI). The presented method, which introduces multi Lyapunov functions for the polytopic-type uncertainties system, reduces the conservatism stemmed from the single Lyapunov function used in the unimproved method. The robust vibration control for the flexible cantilever beam system is simulated in Matlab by these two methods respectively. The results show that the flexible cantilever beam is well controlled via the two methods, and the improved method gets a better result.

KW - Cantilever beam

KW - Piezoelectric materials

KW - Robustness

KW - State-feedback

KW - Uncertain systems

KW - Vibration control

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M3 - 文章

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SN - 1001-5965

VL - 35

SP - 957

EP - 961

JO - Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics

JF - Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics

IS - 8

ER -

Robust vibration control of flexible piezoelectric structure

Abstract

Keywords

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