Optimal H_2 Integral Controller Design with Derivative State Constraints for Torsional Vibration Model

摘要

An optimal H_2 integral controller designed with derivative state constraints for a torsional vibration model is presented. The proposed controller is designed based on the optimal H_2 control problem with a prescribed degree of stability in order to control the under damped response of an oscillatory system with a constant disturbance and to reduce the vibration of the system. It is shown in this paper that the derivative state constrained optimal H_2 integral problems can be reduced to the standard optimal H_2 control. The effectiveness of the controller in reducing the torsional vibration and the damping of two-inertia system are also shown by simulation and experimental results.