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Robust Adaptive Fuzzy Control of Nonlinear Systems with Unknown and Time‐Varying Saturation
Author(s) -
Lai Guanyu,
Liu Zhi,
Zhang Yun,
Chen Xin,
Philip Chen Chun Lung
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.921
Subject(s) - control theory (sociology) , fuzzy logic , adaptive control , nonlinear system , fuzzy control system , bounded function , lyapunov function , controller (irrigation) , robust control , computer science , mathematics , control (management) , artificial intelligence , mathematical analysis , physics , quantum mechanics , agronomy , biology
In this paper, a robust adaptive fuzzy control approach is proposed for a class of nonlinear systems in strict‐feedback form with the unknown time‐varying saturation input. To deal with the time‐varying saturation problem, a novel controller separation approach is proposed in the literature to separate the desired control signal from the practical constrained control input. Furthermore, an optimized adaptation method is applied to the dynamic surface control design to reduce the number of adaptive parameters. By utilizing the Lyapunov synthesis, the fuzzy logic system technique and the Nussbaum function technique, an adaptive fuzzy control algorithm is constructed to guarantee that all the signals in the closed‐loop control system remain semiglobally uniformly ultimately bounded, and the tracking error is driven to an adjustable neighborhood of the origin. Finally, some numerical examples are provided to validate the effectiveness of the proposed control scheme in the literature.