Active vibration suppression by pole-zero placement using measured receptances

Mottershead, John E., Ghandchi Tehrani, Maryam, James, Simon and Ram, Yitshak M. (2008) Active vibration suppression by pole-zero placement using measured receptances. Journal of Sound and Vibration, 311 (3-5), 1391-1408. (doi:10.1016/j.jsv.2007.10.024).

Abstract

The paper addresses the problem of pole-zero assignment using the receptance method in active vibration control and
has applications particularly in vibration absorption and detuning of structures to avoid resonance. An output feedback
approach is described that makes use of measured receptances, there being no requirement at all for the M, C, K matrices
usually obtained by finite elements. Therefore, in the controller design, the approximations, assumptions and other
modelling errors are largely eliminated. In addition, the method does not require the use of model reduction techniques or
the estimation of unmeasured states by an observer. An advantage of the output feedback method, over state feedback, is
that collocated actuator–sensor arrangements become possible. However this is achieved at the expense of creating
characteristic equations nonlinear in the control gains. Numerical examples are provided to illustrate the working of the
method. This is followed by a series of experimental tests carried out using collocated accelerometers and inertial actuators
on a T-shaped plate. In a series of experiments poles and zeros are assigned separately and simultaneously. Stability
robustness is demonstrated by applying a constraint to the singular values of the matrix return difference.

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