Vibration mitigation for clamped-free beam using time-delayed controller via Macro-fiber composite

Abstract

The Macro Fiber Composite (MFC) is the leading low-profile actuator or sensor offering high performance, durability and flexibility in a cost competitive device. As an ideal candidate of active-control devices, its application, however, is restricted by the complicated electromechanical characteristics, and also restricted by the unavoidable time delay lying in the MFC's actuated systems. Given this, this paper attempts to design a GA-based controller for mitigating clamped-free beam actuated by the MFC patches, in which these two factors are both considered. Finally numerical examples and corresponding experimental cases are used to testify the proposed approach is effective in mitigating vibration with different time delays. Also recommended are the implications of the current study on vibration control for other smart structures.

Keywords

MFC vibration control GA controller time delay clamped-free beam

Get full access to this article

View all access options for this article.

References

Deraemaeker

and Nasser

, Numerical evaluation of the equivalent properties of Macro Fiber Composite (MFC) transducers using periodic homogenization, International Journal of Solids and Structures47(24) (2010), 3272-3285.

Wilkie

W.K.

et al., Low-cost piezocomposite actuator for structural control applications, Smart Structures and Material 2000: Industrial and Commercial Applications of Smart Structures Technologies3991 (2000), 323-334.

and Wang

Z.H.

, Dynamics of controlled mechanical systems with delayed feedback. xiii, 294.

Qiu

Z.C.

et al., Active vibration control of a flexible beam using a non-collocated acceleration sensor and piezoelectric patch actuator, Journal of Sound and Vibration326(3-5) (2009), 438-455.

Butler

and Rao

, A state space modeling and control method for multivariable smart structural systems, Smart Materials & Structures5(4) (1996), 386-399.

S.K.

, Keilers

and Chang

F.K.

, Finite-Element Analysis of Composite Structures Containing Distributed Piezoceramic Sensors and Actuators, Aiaa Journal30(3) (1992), 772-780.

Fridman

and Shaked

, A descriptor system approach to H-infinity control of linear time-delay systems, Ieee Transactions on Automatic Control47(2) (2002), 253-270.

Yoneyama

, Robust stability and stabilization for uncertain Takagi-Sugeno fuzzy time-delay systems, Fuzzy Sets and Systems158(2) (2007), 115-134.

Boyd

S.P.

, Linear matrix inequalities in system and control theory. SIAM studies in applied mathematics. ix, 193.

10.

Xue

X.M.

et al., Bouc-Wen modeling to hysteresis nonlinear in Macro Fiber Composite (MFC) actuator, International Journal of Applied Electromagnetics and Mechanics45(1-4) (2014), 965-971.