Maximum likelihood least squares‐based iterative methods for output‐error bilinear‐parameter models with colored noises. (3rd August 2020)

• Record Type: Journal Article
• Authors: Chen, Mengting; Ding, Feng; Lin, Rongming; Ng, Teng Yong; Zhang, Yanliang; Wei, Wei
• Other Names: Piga Dario guestEditor.; Bemporad Alberto guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 30:Number 15(2020)
• Page Start: 6262
• Page End: 6280
• Publication Date: 2020-08-03
• Subjects: bilinear term -- least squares -- maximum likelihood -- parameter identification -- prefilter; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5081
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This article is concerned with the parameter identification of output‐error bilinear‐parameter models with colored noises from measurement data. An auxiliary model least squares‐based iterative method is developed through the overparameterization model. It examines the difficulty of estimating the overparameterized vector, which usually presents a heavy computational burden in the identification process. To overcome this drawback, a parameter separation technique is introduced and the nonlinear model is reformulated as a refined identification model through eliminating the crossmultiplying terms. In this regard, a parameter separation least squares‐based iterative (PS‐LSI) algorithm is derived by avoiding estimating the redundant parameters. On the basis of the PS‐LSI algorithm, we derive a maximum likelihood least squares‐based iterative method to further improve the numerical accuracy. The identification is dependent on the formulation of a pseudolinear regression relationship, which contains two linear prefilters constructed from the system and noise models. The performance of this proposed method is confirmed by the numerical simulations as well as direct comparisons with other existing algorithms.