Premium
Active disturbance rejection adaptive output feedback control of uncertain nonlinear systems
Author(s) -
Mi Yize,
Yao Jianyong
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5695
Subject(s) - control theory (sociology) , backstepping , parametric statistics , nonlinear system , compensation (psychology) , tracking (education) , active disturbance rejection control , computer science , tracking error , disturbance (geology) , adaptive control , mathematics , control (management) , state observer , artificial intelligence , physics , psychology , pedagogy , statistics , quantum mechanics , psychoanalysis , paleontology , biology
Abstract This article concerns the output feedback tracking control problem for a class of single‐input‐single‐output (SISO) nonlinear systems in a semistrict feedback form, which possesses both matched and mismatched uncertainties, including parametric uncertainties and unknown nonlinear disturbances. An active disturbance rejection adaptive output feedback control scheme is proposed via backstepping method, in which parametric uncertainties are handled by adaptation law and disturbances are estimated by a series of linear extended state observers (LESOs). The learning burden of LESOs is much alleviated due to active compensation of parametric uncertainties via adaptation. In addition, both matched and mismatched disturbances are estimated in the construction of LESO for each channel of the considered nonlinear plant. Hence, all various of uncertainties can be mostly compensated. Consequently, prescribed transient performance and steady‐state tracking accuracy can be guaranteed. Theoretical analysis reveals the tracking error can be made arbitrarily small. Furthermore, exponentially asymptotic output tracking can be achieved when unknown disturbances are constants. Finally, comparative simulation studies are presented to illustrate the effectiveness of the proposed scheme.