Vibration control of flexible structures with PZT sensors and actuators

In this paper, a two-degree-of-freedom model has been constructed for a structural dynamic system consisting of a linear elastic plate bonded with piezoelectric sensors and actuators. A multivariable feedback controller is designed. Four control procedures based on the minimization of performance output error and the quadratic performance index have been developed that use rate-feedback control, hybrid fuzzy-PID control, genetic algorithms-designed PID control, and linear quadratic Gaussian/loop transfer recovery control methods. Here, the genetic algorithm fitness function is approximately proportional to the inverse of the output error. To test these control techniques in an efficient and systematic way, we built a digital control system that consists of MATLAB/SIMULINK (modeling software and a dSPACE DS 2100 controller in a personal computer. The real-time experiment and off-line simulation results confirm that these four kinds of control methods are reliable and efficient in suppression of the steady-state resonance vibrations.