Optimal H2 controller design with derivative state constraints for torsional vibration system

The powerful derivative state constrained H2 optimal is presented in order to reduce vibration in oscillatory system with a constant disturbance will be considered. It is shown that the derivative state constrained optimal H2 integral problems can be reduced to the standard optimal H2 control. In this paper, the derivative state constrained optimal H2 integral controller is presented based on the optimal H2 control problem to control underdamped responses of the linear systems. And the simulation results show that the proposed method is also effectiveness to reduce the damping for the torsional vibration based on two-inertia system.