Model reference control of vibrations in flexible smart structures

A finite dimensional discrete-time model reference control (MRC) algorithm for suppressing the vibrations in flexible smart structures is presented. Experimental results are furnished to demonstrate the performance of the proposed control algorithm in a personal computer (PC) based system designed to suppress vibrations in an aluminum cantilever test beam mounted with piezoelectric sensors and actuators.

[1]  Michael Polis,et al.  Stabilization of hyperbolic systems using concentrated sensors and actuators , 1985, 1985 24th IEEE Conference on Decision and Control.

[2]  C. K. Lee,et al.  Piezoelectric strain rate gages , 1991 .

[3]  Perambur S. Neelakanta,et al.  Estimation of distributed transverse displacement and velocity from distributed strain measurements in a cantilever beam , 1995, Smart Structures.

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

[5]  Michel C. Delfour,et al.  Stabilization of hyperbolic systems using concentrated sensors and actuators , 1986 .

[6]  T. Bailey,et al.  Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam , 1985 .

[7]  Z. Luo.  Direct strain feedback control of flexible robot arms: new theoretical and experimental results , 1993, IEEE Trans. Autom. Control..

[8]  Ephrahim Garcia,et al.  A Self-Sensing Piezoelectric Actuator for Collocated Control , 1992 .

[9]  G. A. Pajunen,et al.  Indirect model reference distributed adaptive control of flexible structures , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[10]  M. Balas,et al.  Feedback control of flexible systems , 1978 .

[11]  Perambur S. Neelakanta,et al.  Recursive Estimation of Displacement and Velocity in a Cantilever Beam Using a Measured Set of Distributed Strain Data , 1995 .

[12]  Scott D. Snyder,et al.  A Study of the Response of a Simply Supported Beam to Excitation by a Piezoelectric Actuator , 1992 .

[13]  Leonard Meirovitch,et al.  Elements Of Vibration Analysis , 1986 .