OPTIMAL BOUNDED CONTROL DESIGN FOR VIBRATION SUPPRESSION

The work presented in this paper investigates the design of optimal co ntrol to suppress vibrations in a structure with limitations on the ac tuator forces. The limits on the control ensure realistic results. The objective functions used for the two approaches were minimum time and the quadratic performance index. The minimum time system is convenien t to adopt when the number of actuators is equal to the number of degr ees of freedom in a sructural model used for control design. The LQR w ith bounded control can be used even when the number of actuators is s maller than the number of degrees of freedom. The transient responses of the two approaches are compared. An idealized wing structure with 2 4 degrees of freedom and four actuators was studied with different lim its on the control forces and control weighting parameters. The criter ia selected for comparison for control designs were the root mean squa re responses and the total deviation.