本文提出了一种诊断传感器故障的单传感器检验关系（ＳＳＰＲ）方法，给出了具有最小时间跨度的ＳＳＰＲ表达式；通过引入两个定理，提出了一种同时计算最小时间跨度和检验关系系数向量的反向稳定的计算方法；最后讨论了系统不确定参数对计算结果的影响，并给出了在已知系统不确定量范围条件下ＳＳＰＲ的鲁棒设计方法 In this paper, we propose a single sensor test relationship (SSPR) method to diagnose sensor failure, and give the SSPR expression with the minimum time span. By introducing two theorems, a new method is proposed to calculate the minimum time span and test the relationship coefficient vector Finally, the influence of system uncertain parameters on the calculation results is discussed, and the robust design method of SSPR under the known system uncertainty range is given