LMI-based tracking control of the fuzzy systems: smooth compositions work better Articles uri icon

authors

  • SADJADI, EBRAHIM

publication date

  • March 2024

start page

  • 449

end page

  • 462

issue

  • 2

volume

  • 26

International Standard Serial Number (ISSN)

  • 1562-2479

Electronic International Standard Serial Number (EISSN)

  • 2199-3211

abstract

  • The paper studies the problem of robust tracking of the fuzzy systems in the presence of uncertainties. A robust feedback controller based on the linear matrix inequality (LMI) is proposed using a Lyapunov function combined with the supervisory controller. Hence, the sufficient stability condition for the general type of robust fuzzy tracking controls has been formulated and the performance of the controller has been tested for different classes of the fuzzy models. It has been demonstrated that the smooth fuzzy compositions have better performance rather than the standard fuzzy compositions, (i.e., min¿max compositions and product¿sum compositions). Considering that the smooth fuzzy compositions are efficient in face of the uncertainties, it is believed that the present work opens up new doors for wider applications of the smooth fuzzy compositions in the industry.

subjects

  • Computer Science
  • Electronics
  • Mathematics
  • Robotics and Industrial Informatics

keywords

  • fuzzy models; robustness; smooth functions; stability; tracking control