Vibration control of flexible structures with PZT sensors and actuators

In this paper, a two-degree-of-freedom model has been constructed for a str uctural dynamic system consisting of a linear elastic plate bonded with pie zoelectric sensors and actuators. A multivariable feedback controller is de signed. Four control procedures based on the minimization of performance ou tput error and the quadratic performance index have been developed that use rate-feedback control, hybrid fuzzy-PID control, genetic algorithms-design ed PID control, and linear quadratic Gaussian/loop transfer recovery contro l methods. Here, the genetic algorithm fitness function is approximately pr oportional to the inverse of the output error. To test these control techni ques in an efficient and systematic way, we built a digital control system that consists of MATLAB/SIMULINK (modeling software and a dSPACE DS 2100 co ntroller in a personal computer. The real-time experiment and off-line simu lation results confirm that these four kinds of control methods are reliabl e and efficient in suppression of the steady-state resonance vibrations.