A new formulation of fault-tolerant estimation problems and some solutions

摘要

The problem of fault tolerant state estimation is considered. We propose a unified, general formulation of the problem in which two different types of faults affect the system's output simultaneously. This problem statement generalizes previously reported formulations that may be obtained as special cases. Three families of state estimation methods for fault-prone systems are presented, generalizing several classical estimation algorithms. These families include: one-step near-optimal filters, which are closely related to the GPB filter family, IMM-based filters, and linear optimal estimators.