Title: GPI observer-based non-linear integral sliding mode control and synchronisation of uncertain chaotic system

 

Author: Dangjun Zhao; Yongji Wang; Lei Liu

 

Addresses:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China.
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China.
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

 

Journal: Int. J. of Modelling, Identification and Control, 2012 Vol.16, No.4, pp.363 - 371

 

Abstract: An output feedback control scheme for a class of triangular chaotic systems in the presence of system uncertainties, unknown disturbances, parameter perturbations and measurement noises is proposed in this paper. A high gain general proportional integral (GPI) observer is used for the accurate linear estimation of the error states, non-linear endogenous and exogenous disturbances from the noisy output signals of the system, and then a non-linear integral sliding mode controller with active disturbance cancellation is proposed for the tracking control and synchronisation of the chaotic systems. The uncertain Gesino chaotic system is used to validate the proposed control method and the convincing numerical results illustrate the proposed method is effective to deal with various system uncertainties only based on the utilisation of the input-output data.

 

Keywords: nonlinear SMC; integral SMC; sliding mode control; chaotic systems; general proportional integral; GPI observers; observer-based control; uncertain systems; feedback control; tracking control; chaotic synchronisation; chaos.

 

DOI: http://dx.doi.org/10.1504/IJMIC.2012.048269

 

Available online 25 Jul 2012

 

 

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