物理学报Issue(21)：39-52,14.DOI:10.7498/aps.63.210502
基于线性矩阵不等式的一类新羽翼倍增混沌分析与控制
Analysis on a class of double-wing chaotic system and its control via linear matrix inequality
摘要
Abstract
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.关键词
羽翼倍增/混沌/分岔/线性矩阵不等式Key words
double-wing/chaos/bifurcation/linear matrix inequality引用本文复制引用
王斌,薛建议,贺好艳,朱德兰..基于线性矩阵不等式的一类新羽翼倍增混沌分析与控制[J].物理学报,2014,(21):39-52,14.基金项目
国家自然科学基金(批准号:51202200),“十二五”国家科技支撑计划(批准号:2011BAD29B02)和水利部948项目(批准号:201436)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.51202200), the Twelfth Five-year National Key Technology Research and Development Program of the Ministry of Science and Technology of China (Grant No.2011BAD29B02), and the “948” Project from the Ministry of Water Resources of China (Grant No.201436) （批准号:51202200）
