Abstract
In this paper, preliminary definitions on damage and damage prognosis will be given. A damage prognosis definition will be translated into a mathematical definition. The main contribution is to introduce a model-based prognosis methodology for reconstructing dynamics of cumulative damage state with only inputs and outputs measurements. The methodology is based essentially on the fact that damage will be lead back to an unknown input. The state will be reconstructed exactly in a predefined finite-time using a finite time unknown input observer. An expression of unknown input containing cumulative damage state information will be estimated. Then damage state estimation becomes an inverse problem. Finally, an identification process is designed to identify reconstructed dynamics of cumulative damage state with a class of nonlinear damage models. Simulation results on an academic automotive suspension system will be given to illustrate the pertinence of the approach.
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