Derivative State Constrained Optimal H2 Controller for Torsional Vibration with Constant Disturbance

It is shown that the derivative state constrained optimal H₂ integral problems can be reduced to the standard optimal H₂ control problem. In this paper, the derivative state constrained optimal H₂ integral controller is presented based on the optimal H₂ control problem with a prescribed degree of stability to control under damped responses of the linear systems. And the experimental results show that the proposed method is also effectiveness to reduce the damping for the torsional vibration based on two-inertia system.