Chaos in a fractional-order micro-electro-mechanical resonator and its suppression

被引：70

作者：

Aghababa, Mohammad Pourmahmood ^{[1
]}

机构：

[1] Urmia Univ Technol, Dept Elect Engn, Orumiyeh, Iran

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 10期

关键词：

micro-electro-mechanical resonator; chaotic behavior; fractional calculus; fractional finite-time controller; NONLINEAR DYNAMICS; MEMS; SYSTEM; SYNCHRONIZATION;

D O I：

10.1088/1674-1056/21/10/100505

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The present paper investigates the existence of chaos in a non-autonomous fractional-order micro-electromechanical resonator system (FOMEMRS). Using the maximal Lyapunov exponent criterion, we show that the FOMEMRS exhibits chaos. Strange attractors of the system are plotted to validate its chaotic behavior. Afterward, a novel fractional finite-time controller is introduced to suppress the chaos of the FOMEMRS with model uncertainties and external disturbances in a given finite time. Using the latest version of the fractional Lyapunov theory, the finite time stability and robustness of the proposed scheme are proved. Finally, we present some computer simulations to illustrate the usefulness and applicability of the proposed method.

引用

页数：9

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