Parameters-Transfer Identification for Dynamic Systems and Recursive Form

This letter aims to facilitate the identification procedure for dynamic systems by utilizing knowledge from different but related systems. By introducing the transfer gain matrix and constructing the transfer identification criterion, a novel parameters-transfer identification method is developed for the system with low-quality measurements. Meanwhile, the condition for avoiding negative transfer is exploited to theoretically guarantee the effectiveness of knowledge transfer. Moreover, the size and elements of the transfer gain matrix depend on all measurements, a recursive form of the proposed method is derived to overcome the curse of dimensionality. Finally, a mass-spring-damper example and a continuous fermentation reactor example are simulated to demonstrate the advantages and capabilities of the proposed methods.