Derivative State Constrained Optimal H_2 Control for Oscillatory Systems and its Application

摘要

The optimal H_2 control of oscillatory systems via the constraints of the derivatives of state variables is discussed and applied to a physical system in this paper. It is shown that the derivative state constrained optimal H_2 control can be reduced into the standard optimal H_2 control problem with modified controlled output equations. The solution to the modified standard problem has salient features for controlling oscillatory systems that have been a tough subject in state space as well as in classical frequency domain controls.