2023/05/22 by Siyu Chen, Chen, Siyu, Jing Na +3
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Adaptive Filtering Techniques #Control Systems and Identification #FOS: Electrical engineering #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2305.12730
openalex publication_date 2023/05/22 · openalex created_date 2023/05/24 · openalex updated_date 2026/07/28
Although persistent excitation is often acknowledged as a sufficient condition to exponentially converge in the field of adaptive parameter estimation, it must be noted that in practical applications this may be unguaranteed. Recently, more attention has turned to another relaxed condition, i.e., finite excitation. In this paper, for a class of nominal nonlinear systems with unknown constant parameters, a novel method that combines the Newton algorithm and the time-varying factor is proposed, which can achieve exponential convergence under finite excitation. First, by introducing pre-filtering, the nominal system is transformed to a linear parameterized form. Then the detailed mathematical derivation is outlined from an estimation error accumulated cost function. And it is given that the theoretical analysis of the proposed method in stability and robustness. Finally, comparative numerical simulations are given to illustrate the superiority of the proposed method.