The moving bed reactor of the continuous solid-state polymerization (SSP)process for PET is a kind of distributed parameter system.The model parameters are easy to become inaccurate and uncertain due to the modeling simplification and time-varying property

which leads to the state estimation error.An adaptive joint estimator for the SSP process is designed based on the ISR-UKF for the real-time parameter and state estimation

following the orthogonal collocation method to discretize the process model described by partial differential equations.Experiment and simulation results show the estimator can produce reasonable parameter estimate values and have excellent state track capability and good stability.The approximate frequency factor and active energy and the efficiency coefficient dynamics with the reaction temperature are obtained by the joint estimator

which shows the joint estimator can be well used for practical applications.