Synthesis and Control of Piezoelectric Resonant Actuation Systems with Buckling-Beam Motion Amplifier

Abstract

Nonlinear dynamic model and control method are developed for a piezoelectric/buckling beam motion amplifier to operate as a resonant actuation system. From reviewing the current buckling beam motion amplifier and piezoelectric resonant actuator concepts, it is recognized that an approach that combines the two ideas could further advance the state of the art in achieving high authority, light weight and compact actuators. In this case, resonance means that the operating frequency is at or near the natural frequency of the linearized system, which will cause significant amplification effect of the nonlinear motion amplifier. In this study, a dynamic model is first developed for mechanical tailoring and controller design purposes. A nonlinear feedback linearization control based on the high-gain estimator approach is adopted so that the undesired nonlinear dynamic responses near the resonant frequency, such as the jump phenomena and the chaotic motion, can be avoided.