Active control of Timoshenko beam vibrations using piezoelectric material

摘要

H(infinity) robust control and filter design for controlling the beam vibrations are presented. ^The standard Timoshenko beam (TB) is employed as the nominal structural model. ^To stabilize the vibrations of flexible beams, active control using PZT material as actuator is introduced. ^The distributed sensor using the PZT material is employed to estimate the state variables of the system. ^The TB model governed by a partial differential equation (PDE) is discretized by a central difference scheme to generate a finite dimensional model. ^The variation in material properties, the discretization errors, and the modeling errors are considered as the uncertainties of the system. ^The H(infinity) control theory is employed to determine the control voltages of the actuator such that the dynamic motion of the beam with uncertainties under disturbance is stabilized. ^Furthermore, considering the unknown noise and errors existing in the measurement process, the state estimator is realized by the robust H(infinity) filter. ^The effectiveness of this approach is illustrated by a simulation example. ^(Author)