Title: Adaptive sliding mode observer for non-linear stochastic systems with uncertainties

Authors: Feng Qiao, Ya Zhang, Quanmin Zhu, Hua Zhang

Addresses: Faculty of Information and Control Engineering, Shenyang Jianzhu University, 9 Hunnan East Road, Hunnan New District, Shenyang, Liaoning, 110168, P.R. China. ' Faculty of Information and Control Engineering, Shenyang Jianzhu University, 9 Hunnan East Road, Hunnan New District, Shenyang, Liaoning, 110168, P.R. China. ' Bristol Institute of Technology, University of the West of England, Frenchay Campus, Coldharbour Lane, Bristol BS16 1QY, UK. ' Dalian Sub-Institute, China Northeast Municipal Engineering Design and Research Institute, 104 Northeast Street, Dalian E&T Development Zoom, Dalian, Liaoning, 130021, P.R. China

Abstract: It is presented, in this paper, a novel adaptive sliding mode observer (ASMO) for reconstructing the states of non-linear stochastic systems with structure uncertainties, parameter perturbations and external disturbances which is presented in the Ito differential equations. The proposed ASMO uses sliding mode technique to guarantee the robustness of observation, and an adaptive law is employed to update the sliding mode gain. The estimation error of the proposed observer is theoretically proved to be mean square exponentially convergent to a limited bound. Simulation study is made on computer with MatLab for reconstructing the states of Lorenz chaotic attractor disturbed with uncertainties and polluted with noises, and the simulation results verify the effectiveness of the proposed observation strategy.

Keywords: adaptive observers; sliding mode scheme; nonlinear stochastic systems; Ito differential equations; uncertainty; simulation.

DOI: 10.1504/IJMIC.2009.028870

International Journal of Modelling, Identification and Control, 2009 Vol.8 No.1, pp.18 - 24

Published online: 09 Oct 2009 *

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