International Journal of Fuzzy Systems

, Volume 21, Issue 8, pp 2588–2599 | Cite as

Direct Adaptive Fuzzy Control of Nonlinear Descriptor Systems

  • Naeimeh Fakhr Shamloo
  • Ali Akbarzadeh KalatEmail author
  • Luigi Chisci


This paper deals with direct adaptive fuzzy control for uncertain affine nonlinear descriptor systems. Two cases are considered: in the first one, it is assumed that the control gain is known, while in the second one, it is an unknown-but-bounded symmetric positive definite matrix. To account for uncertainties in the system dynamics, a fuzzy system is employed to directly approximate the unknown ideal controller. The adjustable parameters of the fuzzy system are updated by either a Lyapunov-based adaptative law in the first case, or a gradient descent algorithm minimizing a suitable quadratic cost function in the second case. Furthermore, an auxiliary compensating signal is designed to guarantee that the tracking error asymptotically vanishes in both cases. Simulation results show how the proposed methods exhibit satisfactory performance thus demonstrating their effectiveness.


Nonlinear descriptor systems Adaptive fuzzy control Lyapunov theory 


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Copyright information

© Taiwan Fuzzy Systems Association 2019

Authors and Affiliations

  • Naeimeh Fakhr Shamloo
    • 1
  • Ali Akbarzadeh Kalat
    • 1
    Email author
  • Luigi Chisci
    • 2
  1. 1.Faculty of Electrical Engineering and RoboticShahrood University of TechnologyShahroodIran
  2. 2.Department of Information Engineering (DINFO)Florence UniversityFirenzeItaly

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