Conditions for stability of feedback systems under sensor failures

An examination is made of the closed-loop stability of the unity-feedback system under two classes of sensor connection failures. The actuator-failure case is similar and omitted for brevity. If there exist compensators that R/sub U/-stabilize the given plant for all failures in these classes, where R/sub U/ denotes a ring of proper scalar rational functions, then the denominator matrices of coprime factorizations of the plant must satisfy certain conditions. A set of compensators that R/sub U/-stabilize a class of multi-input, multi-output plants under sensor failures is found.