Dp. Malladi et Jl. Speyer, A generalized Shiryayev sequential probability ratio test for change detection and isolation, IEEE AUTO C, 44(8), 1999, pp. 1522-1534
The authors derive an online multiple hypothesis Shiryayev Sequential Proba
bility Ratio Test (SSPRT) by adopting a dynamic programming approach. It is
shown that for a certain criterion of optimality, this generalized Shiryay
ev SPRT detects and isolates a change in hypothesis in the conditionally in
dependent measurement sequence in minimum time, unlike the Wald SPRT, which
assumes the entire measurement sequence to correspond to a single hypothes
is. They consider the measurement cost, the cost of a false alarm, and the
cost of a miss-alarm in our dynamic programming analysis. The algorithm is
shown to be optimal in the infinite time case. Finally, the performance of
the algorithm is evaluated by using a few examples. In particular, they imp
lement the algorithm in a fault detection and identification scheme for adv
anced vehicle control systems.