Optimal Periodic Switching Strategy For a Two-unit Warm Standby Degradation System

Abstract

At present, most warm standby systems only switch the standby unit to the normal operation state after the active unit fails. However, a periodic active switching strategy is adopted for the gyro standby system on the satellite. Due to the performance degradation of the gyroscope in the long-term operation and standby process. For this problem, an optimal periodic switching strategy is proposed for the two-unit warm standby degradation system. First, the degradation process of the unit is described by a multi-phase Wiener process. Second, the reliability function and mean time to failure (MTTF) of the degradation subsystem is derived based on the first-hitting time theory. Third, the optimal periodic switching interval is determined to maximize the system MTTF. Finally, a numerical example of a gyroscope warm standby subsystem is used to illustrate the applicability and superiority of the proposed model.