Citation:
Abderazak S, Farid N. A New robust adaptive fuzzy synergetic control for nonlinear systems with an application to an inverted pendulum, ISSN / e-ISSN 1746-6172 / 1746-6180. International Journal of Modelling Identification and Control [Internet]. 2019;volume 33 (N°2).
Abstract:
This paper deals with a nonlinear adaptive control design based on synergetic control, which also uses fuzzy systems to approximate the dynamics of nonlinear systems. The stability of the closed-loop system is ensured by the Lyapunov synthesis in the sense that all the signals are bounded, and the controller parameters adjusted by adaptation laws. The proposed algorithm is applied to an inverted pendulum to track a sinusoidal reference trajectory. Simulations and discussion are presented to illustrate the new robust adaptive fuzzy synergetic control described in this work.