Controlling and Synchronization of Chaotic Systems Via Takagi-Sugeno Fuzzy Adaptive Feedback Control Techniques

被引：7

作者：

Kumar, Sanjay ^{[1
]}

Khan, Ayub ^{[2
]}

机构：

[1] Amity Univ Patna, Amity Sch Engn & Technol, Bailey Rd, Patna 801503, Bihar, India

[2] Jammia Millia Islamia, Dept Math, Fac Nat Sci, New Delhi 110025, India

来源：

JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS | 2021年 / 32卷 / 04期

关键词：

Adaptive control; T-S fuzzy model; Linear matrix inequalities; Synchronization;

D O I：

10.1007/s40313-021-00714-z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this research article, we have addressed the T-S (Takagi-Sugeno) fuzzy modeling and controlling and adaptive synchronization of chaotic systems. Based on the T-S fuzzy model, the fuzzy logic for controlling and synchronization for chaotic systems are designed via linear matrix inequality (LMI). We have illustrated the new chaotic Chen system. Lyapunov exponents and bifurcation diagrams of new Chen system are obtained to justify the chaos in system. Analytical and computational studies of new Chen systems with triangular fuzzy membership function have been performed by using LMI toolbox. Numerical simulation illustrates the controlling chaos as well as adaptive synchronization for the identical systems. Feedback gain matrices and Lyapunov positive definite matrix for the synchronization of identical new Chen systems are obtained.

引用

页码：842 / 852

页数：11

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