Multi-Modal Modulated and Demodulated Vibration Control of Flexible Structures Using Piezoelectric Transducers

Abstract We propose a novel method for controlling vibrations within a resonant structure equipped with piezoelectric transducers. The scheme uses a parallel connection of modulated and demodulated controllers, each designed to damp the transient oscillation corresponding to a single mode. This technique allows multiple modes to be controlled with a single actuator. Simulation results are provided for a laminate beam.

[1]  Colin H. Hansen,et al.  Active control of vibration , 1996 .

[2]  Robert P. Leland.  Adaptive tuning for vibrational gyroscopes , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[3]  E. Crawley,et al.  Static Aeroelastic Control Using Strain Actuated Adaptive Structures , 1991 .

[4]  S. O. Reza Moheimani,et al.  A survey of recent innovations in vibration damping and control using shunted piezoelectric transducers , 2003, IEEE Trans. Control. Syst. Technol..

[5]  G.C. Goodwin,et al.  Fundamental performance limitations of modulated and demodulated control systems , 2004, Proceedings of the 2004 American Control Conference.

[6]  Nesbitt W. Hagood,et al.  Damping of structural vibrations with piezoelectric materials and passive electrical networks , 1991 .

[7]  Timothy N. Chang.  Nonlinear Tuning Regulator for the Control of Lightly Damped Structures , 1993, 1993 American Control Conference.

[8]  Michael Gerber,et al.  Gravity gradiometry - Something new in inertial navigation , 1978 .

[9]  Tuan A. Tran,et al.  A control and signal Processing integrated circuit for the JPL-boeing micromachined gyroscopes , 2005, IEEE Transactions on Control Systems Technology.

[10]  P. Vaidyanathan.  Multirate Systems And Filter Banks , 1992 .

[11]  Graham C. Goodwin,et al.  Fundamental Limitations in Filtering and Control , 1997 .

[12]  Graham C. Goodwin,et al.  Control System Design , 2000 .

[13]  S.O. Reza Moheimani,et al.  Resonant controllers for flexible structures , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[14]  H. W. Bode,et al.  Network analysis and feedback amplifier design , 1945 .

[15]  S. O. Reza Moheimani.  Experimental verification of the corrected transfer function of a piezoelectric laminate beam , 2000, IEEE Trans. Control. Syst. Technol..

[16]  William W. Clark,et al.  A Novel Semi-Active Multi-Modal Vibration Control Law for a Piezoceramic Actuator , 2003 .

[17]  Graham C. Goodwin,et al.  Guest editorial introduction to the special issue on dynamics and control of smart structures , 2001 .