The precise H_∞ control research on flexible multi-body impact system

Based on the dynamic equation of flexible multi body impact system,the impact is thought as a kind of disturbance.A stable controller is designed to minimize the effects from the disturbances.In the analytical process and computation, H ∞ control theory is used for theoretical analysis and the precise integration method is used for solving the state dynamic equation and Riccati equation,and the computation precision is increased greatly.The numerical example shows the effectiveness of the method.