Multifunctional design of inertially-actuated velocity feedback controllers.

The vibration of a structure can be controlled using either a passive tuned mass damper or using an active vibration control system. In this paper, the design of a multifunctional system is discussed, which uses an inertial actuator as both a tuned mass damper and as an element in a velocity feedback control loop. The natural frequency of the actuator would normally need to be well below that of the structure under control to give a stable velocity feedback controller, whereas it needs to be close to the natural frequency of a dominant structural resonance to act as an effective tuned mass damper. A compensator is used in the feedback controller here to allow stable feedback operation even when the actuator natural frequency is close to that of a structural mode. A practical example of such a compensator is described for a small inertial actuator, which is then used to actively control the vibrations both on a panel and on a beam. The influence of the actuator as a passive tuned mass damper can be clearly seen before the feedback loop is closed, and broadband damping is then additionally achieved by closing the velocity feedback loop.

[1]  Stephen J. Elliott,et al.  Feedback stability limits for active isolation systems with reactive and inertial actuators , 2001 .

[2]  Paolo Gardonio,et al.  Active damping control unit using a small scale proof mass electrodynamic actuator. , 2008, The Journal of the Acoustical Society of America.

[3]  Stephen J. Elliott,et al.  Active vibration isolation using an inertial actuator with local displacement feedback control , 2004 .

[4]  Bong Wie,et al.  New generalized structural filtering concept for active vibration control synthesis , 1989 .

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

[6]  Iván M. Díaz,et al.  Acceleration feedback control of human-induced floor vibrations , 2010 .

[7]  J. Geoffrey Chase,et al.  Integrated centering control of inertially actuated systems , 1999 .

[8]  Edward F. Crawley,et al.  Theoretical and experimental investigation of space-realizable inertial actuation for passive and active structural control , 1988 .

[9]  A. Baz,et al.  Analytical Solutions to H∞ and H2 Optimization of Dynamic Vibration Absorbers Attached to Damped Linear Systems , 2002 .

[10]  Captain Steven Webb,et al.  Passive and Active Control of a Complex Flexible Structure Using Reaction Mass Actuators , 1995 .

[11]  Oliver Nicholas Baumann,et al.  Destabilization of velocity feedback controllers with stroke limited inertial actuators. , 2007, The Journal of the Acoustical Society of America.

[12]  M. Balas.  Direct Velocity Feedback Control of Large Space Structures , 1979 .

[13]  Daniel J. Inman,et al.  On the nature of the interaction between structures and proof-mass actuators , 1990 .