System Identification and Explicit Predictive Control of Cantilever Lateral Vibrations

The aim of this study is to investigate the efficiency of a explicit predictive control technique in the numerical simulation and experimental study of system identification of piezoelectric smart structure. A complete active vibration control system comprising the cantilever plate, the piezoelectric actuators, the laser sensor and the digital signal processor board is set up to conduct the experimental system identification. Based on the structure responses determined by measurement, an explicit first mode state space model of the equivalent linear system is developed by employing subspace identification approach. The multiparametric programming algorithm is employed for controller design. The control law is incorporated into the finite state space partitions to perform as closed loop controller. The control law performance is further evaluated in the context of a simulation.