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Adaptive active disturbance rejection control guaranteeing uniformly ultimate boundedness and simplicity
Author(s) -
Nie ZhuoYun,
Zhang Bing,
Wang QingGuo,
Liu RuiJuan,
Luo JiLiang
Publication year - 2020
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.5177
Subject(s) - control theory (sociology) , active disturbance rejection control , feed forward , state observer , computer science , bandwidth (computing) , tracking error , adaptive control , disturbance (geology) , scheme (mathematics) , lyapunov function , control engineering , control (management) , mathematics , engineering , nonlinear system , telecommunications , artificial intelligence , paleontology , mathematical analysis , physics , quantum mechanics , biology
Summary The active disturbance rejection control (ADRC) scheme requires a high bandwidth in the extended state observer (ESO), causing heavy noise pollution in the control system. This article develops an effective and simple adaptive ADRC scheme to realize high performance control when ESO bandwidth is limited. The adaptative law is generated by the state tracking error such that all the feedback loops and feedforward channels are activated for active disturbance rejection. An “attached” and “quantified” adaptation is developed to guarantee the easy usage of the proposed scheme. The uniformly ultimate boundedness of all the signals in the closed‐loop system is proved in the sense of Lyapunov theory. Finally, two simulation examples are given to demonstrate the results.