Abstract: A method to control a laundry drying machine having a rotatable drum, a motor for rotating the drum, and a hot air generator for supplying a drying airflow to the drum. The method includes: collecting physicals quantities during an initial phase of said drying cycle, performing an estimation of polynomial coefficients of a cubic polynomial model indicative of an estimated change of a laundry moisture value over the time based on respective linear polynomial models comprising the collected physicals quantities, performing an estimation of the laundry moisture value by the cubic polynomial model based on the estimated polynomial coefficients, and controlling the motor and hot air generator during a drying cycle, based on one or more physicals quantities associated with the drum loaded with laundry, the electric motor and the hot air generator.