Optimal vibration control with modal positive position feedback

The vibrations of flexible structures are controlled by an optimal modal positive position feedback (OMPPF) algorithm whose control forces are generated by only using modal position signals to provide damping action to undamped structural modes. The suboptimal parameters of the OMPPF controller are obtained by casting the synthesis problem as an optimal control problem with incomplete state feedback. The effectiveness of the algorithm in damping out the vibration of flexible structures is validated experimentally using a cantilevered beam whose multimodes of vibration are controlled by a single piezoelectric actuator.