Active vibration control using optimized modified acceleration feedback with Adaptive Line Enhancer for frequency tracking

Abstract Modified acceleration feedback (MAF) control, an active vibration control method that uses collocated piezoelectric actuators and accelerometer is developed and its gains optimized using an optimal controller. The control system consists of two main parts: (1) frequency adaptation that uses Adaptive Line Enhancer (ALE) and (2) an optimized controller. Frequency adaptation method tracks the frequency of vibrations using ALE. The obtained frequency is then fed to MAF compensators. This provides a unique feature for MAF, by extending its domain of capabilities from controlling a certain mode of vibrations to any excited mode. The optimized MAF controller can provide optimal sets of gains for a wide range of frequencies, based on the characteristics of the system. The experimental results show that the frequency tracking method works quite well and fast enough to be used in a real-time controller. ALE parameters are numerically and experimentally investigated and tuned for optimized frequency tracking. The results also indicate that the MAF can provide significant vibration reduction using the optimized controller. The control power varies for vibration suppression at different resonance frequencies; however, it is always optimized.

[1]  A. Baz,et al.  Optimal vibration control with modal positive position feedback , 1996 .

[2]  Jayanta Pal.  Suboptimal control using Pade approximation techniques , 1980 .

[3]  Mehdi Ahmadian,et al.  Application of the extended Kalman filter to control of a shape memory alloy arm , 2006 .

[4]  C. P. Therapos.  Suboptimal control with incomplete state feedback , 1982 .

[5]  Arye Nehorai.  A minimal parameter adaptive notch filter with constrained poles and zeros , 1985, IEEE Trans. Acoust. Speech Signal Process..

[6]  D. Zimcik,et al.  Active Cabin Noise and Vibration Control for Turboprop Aircraft Using Multiple Piezoelectric Actuators , 2000 .

[7]  Bhaskar D. Rao,et al.  Tracking characteristics of the constrained IIR adaptive notch filter , 1987, 26th IEEE Conference on Decision and Control.

[8]  Mehdi Ahmadian,et al.  Active Vibration Control With Modified Positive Position Feedback , 2009 .

[9]  Hisham Abou-Kandil,et al.  Piezoelectric actuators and sensors location for active control of flexible structures , 2001, IEEE Trans. Instrum. Meas..

[10]  T. Hsia,et al.  An approach for incomplete state feedback control systems design , 1972 .

[11]  Daniel J. Inman,et al.  Control of a Space Rigidizable Inflatable Boom Using Macro-fiber Composite Actuators , 2007 .

[12]  Z. Rekasius,et al.  Optimal linear regulators with incomplete state feedback , 1967, IEEE Transactions on Automatic Control.

[13]  Mehdi Ahmadian,et al.  Subharmonics analysis of nonlinear flexural vibrations of piezoelectrically actuated microcantilevers , 2010 .

[14]  Daniel J. Inman,et al.  Adaptive Modified Positive Position Feedback for Active Vibration Control of Structures , 2010 .

[15]  Jonathan Becedas,et al.  Adaptive Controller for Single-Link Flexible Manipulators Based on Algebraic Identification and Generalized Proportional Integral Control , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[16]  A. Preumont.  Vibration Control of Active Structures , 1997 .

[17]  R. Subbayyan,et al.  Incomplete state feedback design of linear regulators , 1977, Proceedings of the IEEE.

[18]  Hashem Ashrafiuon,et al.  Position Control of a Three-link Shape Memory Alloy Actuated Robot , 2006 .

[19]  Vicente Feliú Batlle,et al.  Adaptive input shaping for manoeuvring flexible structures using an algebraic identification technique , 2009, Autom..

[20]  Tung-Sang Ng,et al.  Gradient-based adaptive IIR notch filtering for frequency estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[21]  Donald J. Leo,et al.  Adaptive positive position feedback for actively absorbing energy in acoustic cavities , 2008 .

[22]  Eunsup Sim,et al.  ACTIVE VIBRATION CONTROL OF FLEXIBLE STRUCTURES WITH ACCELERATION FEEDBACK , 1993 .

[23]  H. Sira-Ramírez,et al.  A fast on-line frequency estimator of lightly damped vibrations in flexible structures , 2007 .

[24]  T. K. Caughey,et al.  On the stability problem caused by finite actuator dynamics in the collocated control of large space structures , 1985 .

[25]  S. Kung,et al.  Adaptive notch filtering for the retrieval of sinusoids in noise , 1984 .

[26]  Chris K. Mechefske,et al.  Frequency properties of an adaptive line enhancer , 2004 .

[27]  Qinglei Hu,et al.  Manoeuvring and vibration reduction of a flexible spacecraft integrating optimal sliding mode controller and distributed piezoelectric sensors/actuators , 2007 .

[28]  J. L. Fanson,et al.  Positive position feedback control for large space structures , 1990 .