Synthesis of Reference Signal in Adaptive Feedback Controller for Structure Vibration Suppression

Abstract

Adaptive control has been known to be desirable to accommodate the system parameter variations and adapt to operational requirements in smart (intelligent) structures. Conventional feedforward controller requires both the reference sensor to measure the disturbance and the error sensor to measure the residual vibration; however, the reference sensor measurement may be impractical because the disturbance is often not known a priori in structural vibration. This study presents an adaptive feedback controller design in which the reference signal is synthesized by the error sensor measurement and the system dynamics identification, which is a prerequisite also in adaptive feedforward controller design. The infinite impulse response (IIR) adaptive filter for system identification and the finite impulse response (FIR) adaptive filter for feedback controller are implemented on digital signal processor for effective on-line vibration suppression. Experimental results show that the controller performance is strongly influenced by the accuracy of system identification. The controller achieves broadband attenuation and remains robust under parameter variations.

Keywords

smart structure adaptive filter system identification vibration control.

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References

Gern, F.H. , Inman, D.J. and Kapania, R.K. 2002. ``Structural and Aeroelastic Modeling of General Platform Wings with Morphing Airfoils,'' AIAA J., 40:628-637.

Gu, Y. , Clark, R.L. , Fuller, C.R. and Zander, A.C. 1994. ``Experiments on Active Control of Plate Vibration Using Piezoelectric Actuators and Polyvinylidene Fluoride (PVDF) Modal Sensors , '' ASME Journal of Vibration and Acoustics, 116:303-308.

Herold, S. , Mayer, D. and Henselka, H. 2004. ``Transient Simulation of Adaptive Structures,'' Inter . J. of Intelligent Material Systems and Structures , 15:215-224.

Huang, S.J. and Shu, B.T. 1997. ``Adaptive Control for a Mechanical System with Oscillation Disturbance,'' J. Sound Vib., 199(1):107-123.

Lee, Y.S. and Elliot, S.J. 2001. ``Active Position Control of a Flexible Smart Beam Using Internal Mode Control,'' J. Sound Vib., 242:767-791.

Mall, S. 2002. ``Integrity of Graphite/Epoxy Laminate Embedded with Piezoelectric Sensor/Actuator under Monotonic and Fatigue Loading, '' Smart Materials and Structures, 11:527-533.

Morari, M. and Zafiriou, E. 1989. Robust Process Control, Prentice-Hall .

Morgan, R. and Wang, K.W. 2002a. ``An Active-Passive Piezoelectric Vibration Absorber for Structural Control under Harmonic Excitation with Rime-Varying Frequency, Part 1: Algorithm Development and Analysis,'' ASME J. of Vibration and Acoustics, 124:77-83.

Morgan, R. and Wang, K.W. 2002b. ``An Active-Passive Piezoelectric Vibration Absorber for Structural Control under Harmonic Excitation with Rime-Varying Frequency, Part 2: Experimental Validation and Parametric Study,'' ASME J. of Vibration and Acoustics, 124:84-89.

10.

Na, H.S. and Park, Y. 1997. ``An Adaptive Feedforward Controller for Rejection of Periodic Disturbances,'' J. Sound Vib., 201(4): 427-435.

11.

Shaw, J. 2000. ``Adaptive Control for Sound and Vibration Attenuation: A Comparative Study,'' J. Sound Vib., 235(4):671-684.

12.

Vaudrey, M.A. , Baumann, W.T. and Saunders, W.R. 2003. ``Stability and Operating Constraints of Adaptive LMS-based Feedback Control,'' Automatica, 39:595-605.

13.

Vipperman, J.S. and Burdisso, R.A. 1995. ``Adaptive Feedforward Control of Non-minimum Phase Structural Systems,'' ASME Journal of Sound and Vibration , 183(3):369-382.

14.

Wang, K.W. , Lai, J.S. and Ju, W.K. 1996. ``An Energy-Based Parametric Control Approach for Structural Vibration Suppression via Semi Active Piezoelectric Networks,'' ASME J. of Vibration and Acoustics, 118(7):505-509.

15.

Yang, S.M. and Huang, N.H. 1996. ``Application of H-infinity Control to Pitch Autopilot of Missiles,'' IEEE Trans. on Aerospace and Electronics Systems , 32(1):426-433.

16.

Yang, S.M. , Hung, C.C. and Chen, K.H. 2005a. ``Design and Fabrication of a Smart Layer Module in Composite Laminated Structures,'' Smart Materials and Structures , 14:315-320.

17.

Yang, S.M. and Jeng, C.A. 1997. ``Vibration Control of a Composite Plate with Embedded Optical Fiber Sensor and Piezoelectric Actuator,'' Inter. J. of Intelligent Material Systems and Structures, 8(5):393-400.

18.

Yang, S.M. and Lee, G.S. 1997. ``Vibration Control of Smart Structures by Using Neural Networks,'' ASME J. of Dynamic Systems, Measurement, and Control , 119(1):34-39.

19.

Yang, S.M. , Sheu, G.J. and Liu, K.C. 2005b. ``Vibration Control of Composite Smart Structures by Feedforward Adaptive Filter in Digital Signal Processor,'' Inter. J. of Intelligent Material Systems and Structures, 16(9):773-779.