Regular Papers

International Journal of Control, Automation and Systems 2010; 8(2): 238-243

Published online April 16, 2010

https://doi.org/10.1007/s12555-010-0208-6

© The International Journal of Control, Automation, and Systems

The Direct Adaptive Control Based on the Singularly Perturbed Model with the Unknown Consequence Parameters

Li Li and Fuchun Sun

Tianjin Normal University, China

Abstract

A class of nonlinear singularly perturbed systems can be approximated by the Fuzzy Singularly Perturbed Model (FSPM).This paper proposes a new direct adaptive controller on the basis of the FSPM. The aim is to make the states of the closed-loop system follow those of the reference model. The feedback gains of the controller can be adjusted on line; and we don’t require the parameters known in prior. Lyapunov constitute techniques are used to prove the stability of the closed loop sys-tems. Finally the simulations illustrate the effectiveness of this approach.

Keywords Adaptive control, Lyapunove constitute techniques, nonlinear singularly perturbed system, T-S fuzzy logic system.

Article

Regular Papers

International Journal of Control, Automation and Systems 2010; 8(2): 238-243

Published online April 1, 2010 https://doi.org/10.1007/s12555-010-0208-6

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

The Direct Adaptive Control Based on the Singularly Perturbed Model with the Unknown Consequence Parameters

Li Li and Fuchun Sun

Tianjin Normal University, China

Abstract

A class of nonlinear singularly perturbed systems can be approximated by the Fuzzy Singularly Perturbed Model (FSPM).This paper proposes a new direct adaptive controller on the basis of the FSPM. The aim is to make the states of the closed-loop system follow those of the reference model. The feedback gains of the controller can be adjusted on line; and we don’t require the parameters known in prior. Lyapunov constitute techniques are used to prove the stability of the closed loop sys-tems. Finally the simulations illustrate the effectiveness of this approach.

Keywords: Adaptive control, Lyapunove constitute techniques, nonlinear singularly perturbed system, T-S fuzzy logic system.

IJCAS
May 2024

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

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