A fuzzy feedback linearization scheme applied to vibration control of a smart structure

Abstract: Smart structures are usually designed with a stimulus-response mechanism to mimic the autoregulatory process of living systems. In this work, in order to simulate this natural and self-adjustable behavior, a fuzzy feedback linearization scheme is applied to a shape memory two-bar truss. This structural system exhibits both constitutive and geometrical nonlinearities presenting the snap-through behavior and chaotic dynamics. On this basis, a nonlinear controller is employed for vibration suppression in the chaotic smart truss. The control scheme is primarily based on feedback linearization and enhanced by a fuzzy inference system to cope with modeling inaccuracies and external disturbances. The overall control system performance is evaluated by means of numerical simulations, promoting vibration reduction and avoiding snap-through behavior.