Indirect adaptive fuzzy control for a class of nonaffine nonlinear systems with unknown control directions

2010 ◽  
Vol 8 (4) ◽  
pp. 903-907 ◽  
Author(s):  
Salim Labiod ◽  
Thierry Marie Guerra
Keyword(s):  
Nonlinear Systems ◽  
Fuzzy Control ◽  
Adaptive Fuzzy Control ◽  
Adaptive Fuzzy ◽  
Unknown Control Directions ◽  
Unknown Control ◽  
Nonaffine Nonlinear Systems

Robust adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems with unknown control directions

2021 ◽  
pp. 014233122110151
Author(s):  
Sofiane Doudou ◽  
Farid Khaber
Keyword(s):  
Nonlinear Systems ◽  
Tracking Error ◽  
Adaptive Fuzzy Control ◽  
Small Neighborhood ◽  
Feedback Form ◽  
Single Input Single Output ◽  
Adaptive Fuzzy ◽  
Unknown Control Directions ◽  
Unknown Control ◽  
Nonaffine Nonlinear Systems

In this paper, the adaptive fuzzy backstepping control problem is considered for a class of single-input single-output (SISO) unknown uncertain nonaffine nonlinear systems in strict-feedback form. Within this approach, Nussbaum gain functions are introduced to solve the problem of unknown control directions. The unknown nonlinear functions are approximated by employing adaptive fuzzy systems. The stability analysis of the closed-loop system in the sense of Lyapunov guarantees the global boundedness property for all the signals and states, and at the same time, steers the tracking error to a small neighborhood of the origin. The feasibility of the developed control approach is illustrated by numerical simulation.

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