 measured temperature)

formula_6 = "i" -th estimated parameter (e.g.heat transfer coefficient)

formula_7 = weighting coefficient reflecting the relative importance of measured values formula_5

formula_9 = weighting coefficient reflecting the relative importance of prior model predictions formula_10

formula_11 = weighting coefficient penalizing relative big changes in formula_6

Moving horizon estimation uses a sliding time window.At each sampling time the window moves one step forward.