Regular Papers

International Journal of Control, Automation and Systems 2010; 8(2): 257-265

Published online April 16, 2010

https://doi.org/10.1007/s12555-010-0211-y

© The International Journal of Control, Automation, and Systems

Observer Based Adaptive Neuro-Sliding Mode Control for MIMO Nonlinear Systems

Slim Frikha, Mohamed Djemel, and Nabil Derbel

Ecole Nationale d’Ingénieurs de Sfax, Tunisie

Abstract

In this paper, a stable adaptive neural sliding mode controller is developed for a class of multivariable uncertain nonlinear systems. For these systems not all state variables are available for measurements. By designing a state observer, adaptive neural systems, which are used to model unknown functions, can be constructed using the state estimations. Based on Lyapunov stability theorem, the proposed adaptive neural control system can guarantee the stability of the whole closed loop system and obtain good tracking performances. Adaptive laws are proposed to adjust the free parameters of the neural models. Simulation results illustrate the design procedure and demonstrate the tracking performances of the proposed controller.

Keywords Adaptive neural control, MIMO nonlinear systems, observer, robustness, sliding mode control, stability.

Article

Regular Papers

International Journal of Control, Automation and Systems 2010; 8(2): 257-265

Published online April 1, 2010 https://doi.org/10.1007/s12555-010-0211-y

Copyright © The International Journal of Control, Automation, and Systems.

Observer Based Adaptive Neuro-Sliding Mode Control for MIMO Nonlinear Systems

Slim Frikha, Mohamed Djemel, and Nabil Derbel

Ecole Nationale d’Ingénieurs de Sfax, Tunisie

Abstract

In this paper, a stable adaptive neural sliding mode controller is developed for a class of multivariable uncertain nonlinear systems. For these systems not all state variables are available for measurements. By designing a state observer, adaptive neural systems, which are used to model unknown functions, can be constructed using the state estimations. Based on Lyapunov stability theorem, the proposed adaptive neural control system can guarantee the stability of the whole closed loop system and obtain good tracking performances. Adaptive laws are proposed to adjust the free parameters of the neural models. Simulation results illustrate the design procedure and demonstrate the tracking performances of the proposed controller.

Keywords: Adaptive neural control, MIMO nonlinear systems, observer, robustness, sliding mode control, stability.

IJCAS
January 2025

Vol. 23, No. 1, pp. 1~88

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