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research-article

Global sliding mode control via LMI approach for uncertain chaotic systems with input nonlinearities and multiple delays

[+] Author and Article Information
Mona Afshari

Electrical Engineering Department, University of Zanjan, Zanjan, Iran
mona.afshar741@gmail.com

Saleh Mobayen

Electrical Engineering Department, University of Zanjan, Zanjan, Iran
mobayen@znu.ac.ir

Rahman Hajmohammadi

Electrical Engineering Department, University of Zanjan, Zanjan, Iran
hajmohammadi64@gmail.com

Dumitru Baleanu

Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania
dumitru@cankaya.edu.tr

1Corresponding author.

ASME doi:10.1115/1.4038641 History: Received January 23, 2017; Revised November 22, 2017

Abstract

This article considers a global sliding mode control approach for the stabilization of ?uncertain chaotic systems with multiple-delays and input nonlinearities. By designing the ?global sliding mode surface, the offered scheme eliminates reaching phase problem. The ?offered control law is formulated based on state estimation, Lyapunov-Krasovskii ?stability theory and linear matrix inequality technique which present the asymptotic ?stability conditions. Moreover, the proposed design approach guarantees the robustness ?against multiple-delays, nonlinear inputs, nonlinear functions, external disturbances and ?parametric uncertainties. Simulation results for the presented controller demonstrate the ?efficiency and feasibility of the suggested procedure.?

Copyright (c) 2017 by ASME
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