Synthesis and control of piezoelectric resonant actuation systems with buckling-beam motion amplifier

A study was conducted to develop a control law that can use the nonlinear resonant actuation system, with buckling-beam dynamics for performance enhancement. The study derived an effective single degree-of-freedom model for system analysis and design. It also focused on developing an alternative dynamic model for mechanical tailoring and design purposes. A feedback linearization control law, based on the high-gain estimator concept was adopted and modified, to avoid the undesired dynamic responses near the resonant frequency, such as the jump phenomena an d chaotic motion. The study also derived the equations of motion of the buckling-beam motion amplifier on the basis of the assumption that the beam is inextensible and a homogeneous one-dimensional elastic body, neglecting rotary inertia and axial dynamics and applying the ordering scheme.