Title: Adaptive terminal sliding mode control for finite-time chaos synchronisation with uncertainties and unknown parameters

Authors: Yang Li; Xueli Wu; Quanmin Zhu; Jianhua Zhang

Addresses: Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China ' Automatic Equipment at Institute of Electrical Engineering, Hebei University of Science and Technology, Shijiazhuang 050054, China ' Department of Engineering Design and Mathematics, University of the West of England, Coldharbour Lane, Bristol BS161QY, UK ' Institute of Electrical Engineering, Hebei University of Science and Technology, Shijiazhuang 050054, China

Abstract: This study presents a generalised procedure for designing finite-time adaptive terminal sliding mode synchronisation control of chaos systems with uncertainties and unknown parameters. A terminal sliding surface is designed for chaos synchronisation and its finite-time convergence to the origin equilibrium is proved. On the basis of the new terminal sliding surface, an adaptive terminal sliding mode controller is designed, by means of adaptive laws to deal with the uncertainties and unknown parameters in the chaos systems. The bounds of the uncertainties and the unknown parameters should be known in advance. The finite-time control idea and Lyapunov stability theory are referred to prove that the error system is converged in finite time. The example is simulated to demonstrate the effectiveness and efficiency of the procedure.

Keywords: finite-time chaos synchronisation; uncertainties; unknown parameters; adaptive control; terminal SMC; sliding mode control; chaos systems; control design; finite time control; Lyapunov stability theory; simulation.

DOI: 10.1504/IJCAT.2014.062370

International Journal of Computer Applications in Technology, 2014 Vol.49 No.3/4, pp.340 - 351

Available online: 05 Jun 2014 *

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