Indirect Adaptive Neuro-Sliding Mode Control for SISO Nonlinear Systems with State Observer

Slim Frikha*, Mohamed Djemel**, N. Derbel***
*,**Research Unit on intelligent control Design and Optimisation of Complex Systems(ICOS),University of Sfax,ENIS,Tunisia.
***Head of Research Unit on intelligent control Design and Optimisation of Complex Systems(ICOS),University of Sfax,ENIS,Tunisia.
Periodicity:May - July'2007
DOI : https://doi.org/10.26634/jfet.2.4.808

Abstract

This paper proposes an observer based indirect adaptive sliding mode controller with neural networks for a certain class of unknown nonlinear dynamic systems. For these systems not all the state variables are available for measurements. To design the proposed controller, we first construct neural network models to describe system nonlinear dynamics. Then, an observer is employed to estimate the tracking error vector, and a neuro-sliding mode controller is developed to achieve the tracking performances. Adaptive laws are proposed to adjust parameters of neural models. The stability of the overall control system is analyzed based on the Lyapunov method. Simulation results illustrate the design procedures and show the tracking performance of the proposed controller in the presence of external disturbances.

Keywords

Adaptive control, neural networks, sliding mode control, observers, stability.

How to Cite this Article?

Slim Frikha, Mohamed Djemel and N. Derbel (2007). Indirect Adaptive Neuro-Sliding Mode Control for SISO Nonlinear Systems with State Observer. i-manager’s Journal on Future Engineering and Technology, 2(4), 68-74. https://doi.org/10.26634/jfet.2.4.808

References

[1].B. Walcott and S. Zak (1987), "State Observation of Nonlinear Uncertain Dynamical Systems", IEEE Trans. On Automatic Control, No.342, pp. 725-736.
[2], Bin J. and Fahmida. C. (2005), "Parameter Fault Detection and Estimcrton of a Class of Nonlinear Systems using Observers", Journal of the Franklin Institute, pp. 1508 -1514, San Diego, California
[3]. Chyi-Tsong C. and Chyi-Shen D. (2001), “Robust Controller Design for a class of Nonlinear Uncertain Chemical Process", Journal of Process Control, Vol. 11, pp. 469-482.
[4]. Dan Wang, Jie Huang (2002), "Adaptive neural network control for a class of uncertain nonlinear systems in pure feedback form ", Automatica, N°38, pp. 1365¬1372.
[5]. Frikha S., Djemel M and Derbel N. (2007), "Adaptive Sliding Mode Control for Unknown Nonlinear Systems Using Neural Network", Conference on Signals, Systems, Decision and Information Technology: SSD (2007), Tunisia.
[6]. Han-Xiong Li and Shaocheng Tong (2003), 'A Hybrid Adaptive Fuzzy Control for A Class of Nonlinear MIMO Systems", IEEE Trans. On fuzzy Systems, Vol. 11, No. 1, pp. 24-34.
[7]. H. F. Wong and A. Rad (2005), “State Observer based Indirect Adaptive Fuzzy tracking control". Simulation Modelling Practice and Theory, Vol. 13, pp. 646-663.
[8]. Isidori A. (1989), "Nonlinear control systems: An introduction", 2nd edition. Spring Verlag, New York.
[9]. J. Gauthier, H. Hammouri and S. Othman (1992), % Simple Observer for Nonlinear Systems Applications to Bioreactors", IEEE Trans. On Automatic Control, Vol. 37, No.6, p. 875-880.
[10]. Jang R, Seong K. and Chae M. (2006), "Adaptive Fuzzy Controller for the Nonlinear System with Unknown Sign of the Input Gain ", International Journal of Control and Systems, Vol4, No. 2, pp. 178-186,
[11]. Jin Y. and Hyum D. (2003), "Adaptive Control Approach of Rapid Thermal Processing", IEEE Trans. On Semiconductor Manufacturing, Vol. 16, No. 4, pp. 621 - 632.
[12]. Jiang L., Wu Q. and ZhouX. (2001), "Observer-Based Nonlinear Control of Synchronous generators with perturbation estimation". Electrical Power and Energy Systems, Vol. 23,pp. 359-367.
[13], Nam H. J. and Jin H. S. (2000), "Input Output Linearization Approach to State Observer", IEEE Trans. On Automatic Control, Vol. 45, No. 12, pp. 2388-2393.
[14], Slotine J.E, Li W. (1987), "Adaptative strategies in constrained manipulation", IEEE Int. Conf.Robotics and Automation.
[15], Wang T. and Tong S. (2006), "Adaptive Fuzzy Output Feedback Control for SISO Nonlinear Systems", International Journal of Innovative, Computing and Control, Vol. 2, No.l, pp. 51-60.
[16]. Wang J., Rad A. and Chan R (2001), "Indirect Adaptive Fuzzy Sliding Mode Control: Part I: Fuzzy Switching", FuzzySets and Systems, Vol.l 22, pp. 21-30.
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