Open AccessFuzzy adaptive tracking control of uncertain chaotic system with input perturbance and nonlinearity
Author(s) -
Ning Li,
Heng Liu,
Wei Xiang
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.230505
Subject(s) - control theory (sociology) , chaotic , computer science , fuzzy logic , nonlinear system , robustness (evolution) , bounded function , fuzzy control system , controller (irrigation) , mathematics , control (management) , artificial intelligence , mathematical analysis , biochemistry , chemistry , physics , quantum mechanics , biology , agronomy , gene
In this paper, we investigate the signal tracking problem of the uncertain time-varying delay chaotic system with control input nonlinearity and the fuzzy adaptive variable structure control method is proposed. The fuzzy logic system approximates the nonlinearity of the system. The unknown time-varying delay uncertainties are compensated using an appropriate Lyapunov-Krasovskii functional. The proposed controller can make the tracking errors converge to an adjustable region and all signals of the closed system is bounded. The designed control method can have a certain robustness against the disturbance of the system. Finally, taking the simulations on a multi-scroll chaotic system for example, the effectiveness of the proposed method is illustrated.