Feedback controllers for active vibration suppression

The aim of the present paper is to investigate two strategies for the active control of plate vibrations, using distributed sensors and actuators (PVDF patches) working on a wide frequency band. The two strategies correspond to the two ends of a spectrum ranging from very robust/less efficient schemes (analog static output feedback) to less robust/very efficient schemes (here ‘frequency shaped LQG’). Both have been experimentally tested and have given successful attenuations; the efficiency of both approaches is demonstrated on sensor signals involved in the control loop as well as on radiated pressure measurements, which constitute an independent index of performance. It is shown that ‘frequency shaped LQG’ is a viable approach to feedback control of lightly damped structures, and that its robustness can be enhanced through a careful design. LQG is a model-based method, and hence requires the modeling of the active structure. Two approaches are investigated in this paper: a finite element model and a identified model built from the experimentally measured transfer functions.

[1]  John C. Doyle,et al.  Guaranteed margins for LQG regulators , 1978 .

[2]  J. Aubrun Theory of the control of structures by low authority controllers , 1978 .

[3]  E. Nissim ORDER REDUCTION OF LINEAR-QUADRATIC-GAUSSIAN-DESIGNED CONTROLLERS , 1993 .

[4]  P. Destuynder,et al.  Piezoelectric Wafers for Reducing the Structure Vibrations , 1992 .

[5]  Ricardo A. Burdisso,et al.  Active Control of Broadband Structural Vibration Using the LMS Adaptive Algorithm , 1993 .

[6]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[7]  James E. Hubbard,et al.  Distributed transducers and colocation , 1993 .

[8]  F. Fahy Sound and structural vibration , 1985 .

[9]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[10]  Stephen J. Elliott,et al.  A multiple error LMS algorithm and its application to the active control of sound and vibration , 1987, IEEE Trans. Acoust. Speech Signal Process..

[11]  Benoit Petitjean,et al.  Feedback controllers for broadband active noise reduction , 1994, Other Conferences.

[12]  Dragan Damjanovic,et al.  Electrostrictive and Piezoelectric Materials for Actuator Applications , 1992 .

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

[14]  Maciejowsk Multivariable Feedback Design , 1989 .

[15]  André Preumont,et al.  Active damping by a local force feedback with piezoelectric actuators , 1991 .