A modified Hammerstein modeling by the differential evolution algorithm

• Published in: Signal, image and video processing Vol. 18; no. 6-7; pp. 5099 - 5112
• Main Author: Chang, Wei-Der
• Format: Journal Article
• Language: English
• Published: London Springer London 01.08.2024; Springer Nature B.V
• Subjects: Algorithms; Back propagation; Computer Imaging; Computer Science; Continuously stirred tank reactors; Evolutionary algorithms; Evolutionary computation; Image Processing and Computer Vision; Mathematical models; Modelling; Multimedia Information Systems; Neural networks; Nonlinear systems; Optimization; Original Paper; Parameter estimation; Pattern Recognition and Graphics; Recurrent neural networks; Signal,Image and Speech Processing; Simulation; Subsystems; Vision; System modeling; Recursive digital system; Hammerstein model; Differential evolution algorithm; Bilinear neural network
• ISSN: 1863-1703; 1863-1711
• DOI: 10.1007/s11760-024-03218-w

This paper focuses on the nonlinear system modeling based on using a modified Hammerstein system model. The proposed Hammerstein structure is composed of a bilinear neural network (BNN) and a recursive digital system in the cascaded form. The former is taken to be the nonlinear function part of the Hammerstein model, and the latter is used as the linear dynamic subsystem. The BNN is then constructed by the bilinear digital system and the recurrent neural network, which already possesses a satisfactory modeling capacity. To update all of adjustable parameters within the proposed Hammerstein model, a popular and powerful evolutionary computation called the differential evolution (DE) is utilized so that the model output can be closely to the actual nonlinear system output. Finally, a simulated nonlinear chemical process system, continuously stirred tank reactor (CSTR), is illustrated with the modeling phase and testing phase. Some experiment results as compared with another method from the subject literature are provided to demonstrate the feasibility of the proposed method and its good modeling.