Model recovery for multi-input signal-output nonlinear systems based on the compressed sensing recovery theory

• Published in: Journal of the Franklin Institute Vol. 359; no. 5; pp. 2317 - 2339
• Main Authors: Ji, Yan, Kang, Zhen, Zhang, Xiao, Xu, Ling
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.03.2022; Elsevier Science Ltd
• Subjects: Algorithms; Autoregressive models; Data recovery; Estimation; Filtration; Impulse response; Input output analysis; Matched pursuit; MISO (control systems); Nonlinear systems; Parameter identification; Regression analysis; White noise

This paper considers the parameter and order estimation for multiple-input single-output nonlinear systems. Since the orders of the system are unknown, a high-dimensional identification model and a sparse parameter vector are established to include all the valid inputs and basic parameters. Applying...