Physics-informed Gaussian process probabilistic modeling with multi-source data for prognostics of degradation processesPhysics-informed Gaussian process probabilistic modeling with multi-source data for prognostics of degradation processes
Physics-informed Gaussian process probabilistic modeling with multi-source data for prognostics of degradation processes The integration of physics-based and data-driven methods in prognostics has become increasingly important in understanding the underlying degradation process using available knowledge. In this paper, we propose a physics-informed Gaussian process modeling method with multi-source data (PIGP-MD) that improves the predictive power of standard Gaussian process model by incorporating the prior knowledge from both physical models and historical data, and the current knowledge from limited observation data. We first propose a PIGP modeling method that incorporates the prior knowledge solely from physical models. In PIGP, a standard GP directly trained with current observation data is used to truncate the random realizations generated from physical models within the confidence bounds of the GP prediction. The truncated random realizations are used to...