Adaptive synchronization of uncertain fractional-order chaotic systems using sliding mode control techniques

被引：18

作者：

Yaghooti, Bahram ^{[1
]}

Siahi Shadbad, Ali ^{[2
]}

Safavi, Kaveh ^{[1
]}

Salarieh, Hassan ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Mech Engn, POB 11155-9567, Tehran, Iran

[2] Khajeh Nasir Toosi Univ Technol, Dept Elect Engn, Tehran, Iran

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING | 2020年 / 234卷 / 01期

关键词：

Fractional-order chaotic systems; synchronization; fractional-order sliding mode control; adaptive control; DERIVATIVE CONTROLLER; NONLINEAR-SYSTEMS; HYPERCHAOS; ALGORITHMS; TRACKING; CALCULUS; DESIGN; PI;

D O I：

10.1177/0959651819849284

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 article, an adaptive nonlinear controller is designed to synchronize two uncertain fractional-order chaotic systems using fractional-order sliding mode control. The controller structure and adaptation laws are chosen such that asymptotic stability of the closed-loop control system is guaranteed. The adaptation laws are being calculated from a proper sliding surface using the Lyapunov stability theory. This method guarantees the closed-loop control system robustness against the system uncertainties and external disturbances. Eventually, the presented method is used to synchronize two fractional-order gyro and Duffing systems, and the numerical simulation results demonstrate the effectiveness of this method.

引用

页码：3 / 9

页数：7

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