GA-LQR Based Optimal Vibration Control of Smart FRP Composite Structures with Bonded PZT Patches

In the present study a genetic algorithm (GA) based linear quadratic regulator (LQR) scheme has been developed and applied for optimal vibration control of smart fiber reinforced composite structure with surface bonded PZT patches. 3D layered shell elements have been formulated for modeling and analysis of smart fiber reinforced polymer (FRP) structures having piezoelectric sensors and actuators patches. Location of PZT patches have been decided based on the mode shapes and modal analysis has been performed to transform the coupled finite element equation to state space equation. Genetic algorithm has been used to search for optimal [Q] and [R] matrices in order to maximize the control performance while keeping actuator/input voltage within limits. The present control scheme has been applied to study the efficacy of vibration control of structures including doubly curved smart FRP structures. Results obtained from the work show that GA-LQR control scheme is much more effective in vibration control both in term of maximizing the control performance as well as closed loop damping coefficient within allowable actuator voltage.