Comparative Study of Adaptive Type-1 and Type-2 Fuzzy Controls for Nonlinear Systems under Uncertainty
S. Mokaddem, Farid Khaber, Hichem Arioui, Rochdi Merzouki, Hadj Ahmed Abbassi · AIP conference proceedings · 2008
This work presents a development of adaptive type‐1 and type‐2 fuzzy controls for uncertain nonlinear systems. Using the adaptive type‐1 fuzzy control, the dynamic of the nonlinear systems is approximated with type‐1 fuzzy systems whose parameters are adjusted by appropriate law adaptation. For adaptive type‐2 fuzzy control, the dynamic of the nonlinear systems is approximated with interval type‐2 fuzzy systems. The use of this type‐2 control requires an additional operation witch is the type reduction, in comparing with typ‐1 control. The closed‐loop system stability is guaranteed by the Lyaponov synthesis. To show the performance of the developed controls, a comparative study is realized through the application of these controls so that an inverted pendulum tracks a given trajectory in presence of disturbances.