Active vibration control of a flexible plate structure using LMI-based H_∞ output feedback control law

An approach for active vibration control of a flexible plate structure using LMI-based H_∞ robust control is presented in this paper. In contrast to the results of Kar et al, the proposed approach handles dynamic output feedback control problems. This practically attractive extension is derived by using specific transformations of Lyapunov variable with appropriate linearizing transformations of the controller variables, which gives rise to a tractable and practical LMI formulation of the vibration control problem. Based on LMI, a H_∞ output feedback controller is designed to suppress the low-frequency vibrations caused by external disturbances and to guarantee the stability and performance of the closed-loop system under uncertainties. The simulation results show that the proposed robust active control method is efficient for active vibration suppression.