Multivariable integral control of resonant structures

Abstract—Integral resonant control (IRC) is a feedback control technique used for damping active structures with a collocated sensor/actuator pair. This paper extends this control technique to structures having several collocated sensor/ actuator pairs. Conditions for the closed loop stability are derived, and the set of such stabilizing IRC controllers is shown to be a convex set. An experimental implementation of an IRC controller on an active structure (Cantilever beam) with two pairs of bonded collocated piezoelectric sensors/actuators is also presented.