Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2009; 7(4): 681-690

Published online August 1, 2009

https://doi.org/10.1007/s12555-009-0420-4

© The International Journal of Control, Automation, and Systems

Observer-based Direct Adaptive Fuzzy Control of Uncertain Nonlinear Systems and Its Applications

Yan-Jun Liu, Shao-Cheng Tong, Wei Wang, and Yong-Ming Li

Liaoning University of Technology, China

Abstract

A direct adaptive fuzzy control algorithm is developed for a class of uncertain SISO nonlinear systems. In this algorithm, it doesn’t require to assume that the system states are measurable. Therefore, it is needed to design an observer to estimate the system states. Compared with the numerous alternative approaches with respect to the observer design, the main advantage of the developed algorithm is that on-line computation burden is alleviated. It is proven that the developed algorithm can guarantee that all the signals in the closed-loop system are uniformly ultimately bounded and the tracking error converges to a small neighborhood around zero. The simulation examples validate the feasibility of the developed algorithm.

Keywords Adaptive fuzzy control, nonlinear systems, uncertainties.

Article

Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2009; 7(4): 681-690

Published online August 1, 2009 https://doi.org/10.1007/s12555-009-0420-4

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

Observer-based Direct Adaptive Fuzzy Control of Uncertain Nonlinear Systems and Its Applications

Yan-Jun Liu, Shao-Cheng Tong, Wei Wang, and Yong-Ming Li

Liaoning University of Technology, China

Abstract

A direct adaptive fuzzy control algorithm is developed for a class of uncertain SISO nonlinear systems. In this algorithm, it doesn’t require to assume that the system states are measurable. Therefore, it is needed to design an observer to estimate the system states. Compared with the numerous alternative approaches with respect to the observer design, the main advantage of the developed algorithm is that on-line computation burden is alleviated. It is proven that the developed algorithm can guarantee that all the signals in the closed-loop system are uniformly ultimately bounded and the tracking error converges to a small neighborhood around zero. The simulation examples validate the feasibility of the developed algorithm.

Keywords: Adaptive fuzzy control, nonlinear systems, uncertainties.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446