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

Saleh Mobayen

Electrical Engineering Department, University of Zanjan, Zanjan, Iran

Rahman Hajmohammadi

Electrical Engineering Department, University of Zanjan, Zanjan, Iran

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

1Corresponding author.

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


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.?

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