Abstract
This investigation focuses on the development of narrowband control strategies which are effective for structural systems subjected to both harmonic exogenous forces and stochastic uncertainties in the model or measurements. A cantilever beam with surface-mounted piezoceramic actuators is used as a prototypical structure since it exhibits physical attributes of a variety of vibrating structures but is sufficiently simple to facilitate initial control design. A PDE model for the structure is discretized using a spline-based Galerkin technique to obtain a semi-discrete system that is appropriate for finite-dimensional control design. A narrowband control method, which can be tuned to attenuate either natural frequencies or specific frequencies in the exogenous input, is developed and compared with standard LQR techniques through numerical examples.
