Open AccessAnalysis on a class of double-wing chaotic system and its control via linear matrix inequality
Author(s) -
Bin Wang,
Jie Xue,
He Hao-Yan,
Daqi Zhu
Publication year - 2014
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.63.210502
Subject(s) - chaotic , control theory (sociology) , nonlinear system , linear matrix inequality , quadratic equation , controller (irrigation) , lyapunov exponent , matlab , matrix (chemical analysis) , computer science , fuzzy logic , mathematics , mathematical optimization , physics , control (management) , materials science , artificial intelligence , composite material , geometry , quantum mechanics , agronomy , biology , operating system
This paper presents a class of quadratic nonlinear system by introducing a linear term x of the third equation into the second equation of a chaotic system based on analyzing and studying some chaos. Using nonlinear dynamics method we analyze the steady, quasi-periodic and chaotic transition process when the system parameter varies. Experiment results are in good agreement with the Matlab simulation results. The Lyapunov exponent of the system with absolute value operation is larger than the original system, and the absolute value operation makes the wing of the original system doubled. Based on Takagi-Sugeno (T-S) fuzzy model and linear matrix inequality, a robust fuzzy controller is designed for the double-wing chaotic system being in asymptotical stability. Simulation results are provided to illustrate the effectiveness of the proposed scheme.