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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Synchronization of Micro-Electro-Mechanical-Systems in Finite Time

Discontinuity, Nonlinearity, and Complexity 4(2) (2016) 173--185 | DOI:10.5890/DNC.2016.06.005

Hadi Delavari$^{1}$, Ayyob Asadbeigi$^{2}$, Omid Heydarnia$^{3}$

$^{1}$ Department of Electrical Engineering, Hamedan University of Technology, Hamedan, 65155, Iran

$^{2}$ Mathematics Department, Institute for Advanced Studies in Basic Sciences (IASBS) Gava zang Zanjan

$^{3}$ Department of Robotic Engineering, Hamedan University of Technology, Hamedan, 65155, Iran

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Abstract

Finite time synchronization of chaotic Micro-Electro-Mechanical Sys-tems (MEMS) is considered. In particular, a Lyapunov-based adaptive controller is developed such that convergence of synchronization error is guaranteed globally in the presence unknown perturbations. The system under consideration suffers from bounded parametric uncertainties, additive external disturbances as well as dead zone input nonlinearities. We establish the controller on being resistance against hard nonlinearities by a novel scheme which can be developed to general chaotic systems even. We provide rigorous stability analysis to come up with sufficient conditions that guarantee finite time error convergence of perturbed system. Several simulation scenarios are carried out to verify the effectiveness of obtained theoretical results.

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