Hierarchical iterative identification algorithms for a nonlinear system with dead‐zone and saturation nonlinearity based on the auxiliary model

• Published in: International journal of adaptive control and signal processing Vol. 37; no. 7; pp. 1866 - 1892
• Main Authors: Sun, Shunyuan, Wang, Xiao, Ding, Feng
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.07.2023
• Subjects: auxiliary model; dead‐zone nonlinearity; hierarchical identification; Innovations; Iterative algorithms; Iterative methods; Mathematical models; multi‐innovation identification; nonlinear system; Nonlinear systems; Nonlinearity; Parameter identification; saturation nonlinearity
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.3604

Summary This paper investigates the identification problem of an output‐error nonlinear system with saturation and dead‐zone nonlinearity. Introducing a switching function and by means of the auxiliary model identification idea, an auxiliary model hierarchical least squares‐based iterative algorithm is proposed for estimating the parameters of the nonlinear system. Based on the hierarchical identification model, an auxiliary model hierarchical gradient‐based iterative algorithm is presented for the nonlinear system by utilizing the gradient search. In order to take full advantage of the system data, an auxiliary model hierarchical multi‐innovation gradient‐based iterative algorithm is derived for the nonlinear system according to the multi‐innovation identification theory. Finally, the numerical simulation results illustrate the effectiveness of the proposed algorithms.