Control Theory Based Uncertainty Model in Reliability Applications
Volume 10, Number 5, July 2014, Paper 4, pp 477-486
VICTOR G. KRYMSKYDepartment of Information – Control Systems Ufa State University of Economics and Service, 145 Chernyshevsky Str.,Ufa, 450078, RUSSIA
(Received on November 12, 2013, revised on Feb. 02 and April 14, 2014)
In this paper we propose a novel approach to deriving uncertainty model in reliability applications. It is based on a state space representation of the system life cycle which is similar to techniques widely used in the control theory (CT). Such a model in turn allows applying CT methods (e.g., optimal control algorithms) to assess the reliability in case of high level of uncertainty. In particular, a CT-based model is effective even if the system performances cannot be described in terms of single-valued statistical characteristics. We demonstrate that in such a situation a CT-based model combined with the so-called ‘interval-valued probabilities’ becomes a very promising tool for reliability computations.
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