INVERSION–BASED TRANSIENT SHAPING OF A PIEZO–ACTUATED PLATE: MOTION PLANNING AND FEEDFORWARD CONTROL

This paper introduces a structural tracking control problem for a rectangular thin plate with piezo–actuation. It is desired to dynamically shape the plate deflection in order to create a transient bulge, whose global minimum follows a prescribed path, e.g. a circle or rectangle. Therefore, motion–planning and feedforward tracking control is determined by combining results from differential flatness and optimal actuator placement to suppress spillover effects. The tracking performance of the proposed control approach is illustrated in a simulation scenario.