System Identification and Observer-Based Control Design of a Piezoelectric Actuated Cantilever Beam
Cantilever beams are widely found in many different applications such as aircraft wings and microelectromechanical devices. One of the problems associated with cantilever structures is that uncontrolled tip vibrations can cause serious structural damage. This paper presents one possible solution to control the oscillation of a cantilever beam. The solution involves the use of strain gauges to measure the oscillation and piezoelectric actuators to control the tip deflection. The piezoelectric cantilever beam is modeled as a second-order system with one degree-of-freedom. The system parameters, including the natural frequency, the damping ratio, and the zeros, are identified from measurement of free and sinusoidal responses. An observer-based controller is then designed using the identified dynamics model. Simulation and experimental results demonstrate the accuracy of the model and the performance of the controller.