The active control method is a popular way to control mechanical vibration. However, for some industrial needs and military requirements, it does not only need to control vibration, but also has to change the online constant working frequency responses, for example to improve the dynamic performance of mechanical devices and the stealth of military equipment. Because the present active control methods mainly focus on vibration control, the dynamic frequency responses active control method (DFRACM) is constructed to deal with this problem. The constructed DFRACM can not only accomplish vibration control but can also arbitrarily change the dynamic frequency responses of mechanical equipment. Besides, in order to satisfy engineering requirements, the multi-objective DFRACM, which can control the dynamic frequency responses of the controlled object to reach separate specific objectives at different places in one time, is also studied in this paper. The effectiveness of the constructed method is verified through experiments of the open cylindrical shell structure.
AbrahamEKerriganEC (2013) Optimal active control and optimization of a wave energy converter. IEEE Transactions on Sustainable Energy4: 324–332.
2.
BalasMJ (1978a) Modal control of certain flexible dynamic systems. SIAM Journal on Control and Optimization16: 450–462.
3.
BalasMJ (1978b) Feedback control of flexible systems. IEEE Transactions on Automatic Control23: 673–679.
4.
DucNDVuNLTranDTBuiHL (2012) A study on the application of hedge algebras to active fuzzy control of a seismic-excited structure. Journal of Vibration and Control18: 2186–2200.
5.
FakhariVOhadiA (2011) Nonlinear vibration control of functionally graded plate with piezoelectric layers in thermal environment. Journal of Vibration and Control17: 449–469.
GongXCCaoDQ (2011) Active control of an unsymmetrical rotor system with tilting pad journal bearings. Journal of Vibration and Control17: 1582–1590.
8.
GuillaumePRolainYSchoukensJ (1994) Parametric identification of transfer functions in the frequency domain – a survey. IEEE Transactions on Automatic Control39: 2245–2260.
9.
HansenCHSnyderSD (1997) Active Control of Noise and Vibration, London: Spon Press.
10.
KuoSMYenduriRKGuptaA (2008) Frequency-domain delayless active sound quality control algorithm. Journal of Sound and Vibration318: 715–724.
11.
LiFMSongZGChenZB (2012) Active vibration control of conical shells using piezoelectric materials. Journal of Vibration and Control18: 2234–2256.
12.
LiLSongGOuJ (2010) Nonlinear structural vibration suppression using dynamic neural network observer and adaptive fuzzy sliding mode control. Journal of Vibration and Control16: 1503–1526.
13.
Ljung (1999) System Identification, Englewood Cliffs, NJ, USA: Prentice-Hall.
14.
LongmanRWXuKPhanMQ (2008) Design of repetitive controllers in the frequency domain for multi-input multi-output systems. Advances in the Astronautical Sciences129: 1593–1612.
15.
MahmoodiSNAhmadianM (2011) Active control of structures with adaptive modified positive position feedback. Acitve and Passive Smart Structures and Integrated Systems7977: 79770E–79770E.
16.
MeirovitchLOzH (1980) Modal-space control of large flexible spacecraft possessing ignorable coordinates. AIAA Journal of Guidance and Control3: 569–577.
17.
NaSSongJSChooJHQinZM (2011) Dynamic aeroelastic response and active control of composite thin-walled beam structures in compressible flow. Journal of Sound and Vibration330: 4998–5013.
18.
NetoMAAmbrosioJACRoseiroLMAmaroAVasquesCMA (2013) Active vibration control of spatial flexible multibody systems. Multibody System Dynamics30: 13–35.
19.
NgTYHeXQLiewKM (2002) Finite element modeling of active control of functionally graded shells in frequency domain via piezoelectric sensors and actuators. Computational Mechanics28: 1–9.
20.
RustighiEMaceBRFergusonNS (2011) An adaptive anechoic termination for active vibration control. Journal of Vibration and Control17: 2066–2078.
21.
SongZGLiFM (2012) Active aeroelastic flutter analysis and vibration control of supersonic composite laminated plate. Composite Structures94: 702–713.
22.
SongZGLiFM (2013) Optimal locations of piezoelectric actuators and sensors for supersonic flutter control of composite laminated panels. Journal of Vibration and Control. DOI: 10.1177/1077546313480538.
23.
SunWCGaoHJKaynakO (2011) Finite frequency H∞ control for vehicle active suspension systems. IEEE Transactions on Control Systems19: 416–422.
24.
TengYYCaiGP (2007) Frequency characteristics of a flexible hub-beam system with arbitrary settling position of attached mass. Journal of Vibration and Control13: 769–794.
25.
Vikram KumarPPrabhuKMMDasDP (2010) Block filtered-s least mean square algorithm for active control of non-linear noise systems. IET Signal Processing4: 168–180.
26.
WidrowBLehrMA (1990) Thirty years of adaptive neural networks: perceptron, madaline, and backpropagation. In: Proceedings of the IEEE78: 1415–1441.
27.
WuDChenK (2013) Frequency-domain analysis of nonlinear active disturbance rejection control via the describing function method. IEEE Transactions on Industrial Electronics60: 3906–3914.
28.
ZhangHGQuanYB (2001) Modeling, identification and control of a class of nonlinear systems. IEEE Transactions on Fuzzy Systems9: 349–354.
29.
ZhangHGLiuDLuoYHWangD (2013) Adaptive Dynamic Programming for Control- algorithm and Stability, London: Springer-Verlag.
30.
ZhaoCFGuZQ (2010) Experimental research of frequency active control of structural response for helicopter. Journal of Vibration Engineering23: 12–18.
