Single input sliding mode control for hyperchaotic Lu system with parameter uncertainty

被引：0

作者：

Singh S. ^{[1
]}

机构：

[1] Department of Electrical Engineering, Indian Institute of Technology, New Delhi

来源：

International Journal of Dynamics and Control | 2016年 / 4卷 / 04期

关键词：

Adaptive laws; Hyperchaotic Lu system; Lyapunov stability; Single input sliding mode control; Stabilization; Synchronization;

D O I：

10.1007/s40435-015-0167-0

中图分类号：

学科分类号：

摘要：

In this paper, design of sliding mode controller (SMC) is presented to investigate the stabilization, complete synchronization and adaptive synchronization of four dimensional hyperchaotic Lu systems with parameter uncertainty. To achieve this goal, sliding mode control scheme along with Lyapunov stability theory is utilized. A proportional integral switching surface is proposed to ensure the stability of the closed-loop system in sliding motion. The SMC has been proposed to guarantee the occurrence of the sliding motion. It has also been shown that by proper choice of the adaptation laws for parameters, systems can be synchronized in conventional manner in master-slave configuration, in uncertain environment. The proposed adaptation laws also ensure the convergence of uncertain parameters to their true value in all the cases. Finally, numerical simulations are performed to demonstrate the effectiveness of the proposed approach. © 2015, Springer-Verlag Berlin Heidelberg.

引用

页码：504 / 514

页数：10

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