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Observer‐based adaptive control for stochastic nonstrict‐feedback systems with unknown backlash‐like hysteresis
Author(s) -
Bai Lu,
Zhou Qi,
Wang Lijie,
Yu Zhandong,
Li Hongyi
Publication year - 2017
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2780
Subject(s) - control theory (sociology) , backstepping , backlash , fuzzy logic , observer (physics) , nonlinear system , fuzzy control system , controller (irrigation) , state observer , adaptive control , computer science , mathematics , control (management) , artificial intelligence , physics , quantum mechanics , agronomy , biology
Summary This paper studies an observer‐based adaptive fuzzy control problem for stochastic nonlinear systems in nonstrict‐feedback form. The unknown backlash‐like hysteresis is considered in the systems. In the design process, the unknown nonlinearities and unavailable state variables are tackled by introducing the fuzzy logic systems and constructing a fuzzy observer, respectively. By using adaptive backstepping technique with dynamic surface control technique, an adaptive fuzzy control algorithm is developed. For the closed‐loop system, the proposed controller can guarantee all the signals are 4‐moment semiglobally uniformly ultimately bounded. Finally, simulation results further show the effectiveness of the presented control scheme.