Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2010; 8(4): 903-907

Published online August 3, 2010

https://doi.org/10.1007/s12555-010-0425-z

© The International Journal of Control, Automation, and Systems

Indirect Adaptive Fuzzy Control for a Class of Nonaffine Nonlinear Systems with Unknown Control Directions

Salim Labiod and Thierry Marie Guerra

University of Jijel, Algeria

Abstract

This article presents an indirect adaptive fuzzy control scheme for a class of nonlinear uncertain nonaffine systems with unknown control directions. The nonlinear nonaffine system is first transformed into an affine form by using a Taylor series expansion, and then fuzzy systems are em-ployed to approximate the equivalent affine system’s unknown nonlinearities. By modifying the esti-mated input control gain and using a novel smooth robust control term, a stable well-defined adaptive controller is proposed. Simulation results are provided to illustrate the efficiency of the proposed scheme.

Keywords Adaptive control, fuzzy control, nonaffine systems, unknown control direction.

Article

Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2010; 8(4): 903-907

Published online August 1, 2010 https://doi.org/10.1007/s12555-010-0425-z

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

Indirect Adaptive Fuzzy Control for a Class of Nonaffine Nonlinear Systems with Unknown Control Directions

Salim Labiod and Thierry Marie Guerra

University of Jijel, Algeria

Abstract

This article presents an indirect adaptive fuzzy control scheme for a class of nonlinear uncertain nonaffine systems with unknown control directions. The nonlinear nonaffine system is first transformed into an affine form by using a Taylor series expansion, and then fuzzy systems are em-ployed to approximate the equivalent affine system’s unknown nonlinearities. By modifying the esti-mated input control gain and using a novel smooth robust control term, a stable well-defined adaptive controller is proposed. Simulation results are provided to illustrate the efficiency of the proposed scheme.

Keywords: Adaptive control, fuzzy control, nonaffine systems, unknown control direction.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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