Abstract
The paper treats the problem of the maintenance of controlled systems. The actuator of the system is subject to deterioration due to wear and to shocks caused by environmental changes. This latter is modeled by random variables called covariates. The deterioration of the actuator impact the control system and requires more effort to balance the deterioration impact and the controlled out put of the system. The main purpose of this paper is to propose a maintenance policy based on the residual lifetime of the system regulated by a Markovien command by taking into account the deterioration of the actuator. The originality of the paper is in one hand due to the consideration of a random deterioration of the actuator in the framework of a controlled system, and on the other hand the consideration of the remaining useful lifetime in the maintenance decision rule.
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