A Compensation Strategy Using an H∞ Control Law for a Multi-Time-Delay Control System

Abstract

The joint work of multiple subsystems in an active mass damper/driver (AMD) system solves the problems that the excessive weight and the insufficient driving capacity exist in the AMD system with an auxiliary mass. However, each subsystem has its own time delay, which is caused by inherent equipment defects. As a result, each subsystem works asynchronously, which reduces the performance of the whole system. It is necessary to take into account its multi-time-delay characteristics. Firstly, a four-layer frame is constructed for analyzing the impact of multi-time-delay on the output of control parameters. Then, a new compensation gain is designed by an H∞ control law. Finally, the proposed methodology is used in the above experimental system, and the performance is verified by the control indexes. The results manifest that the proposed controller enhances the performance of the multi-time-delay control system.