This paper involves a linear double inverted pendulum system whose the state space model is established by Lagrange function. In order to solve the chattering problem of the conventional quasi-sliding mode variable structure control, this linear double inverted pendulum system applies the fuzzy control theory to adjust the parameterwhich is in the sliding mode variable structure control law. Then the fuzzy theory is utilized to design the sliding mode and deduce the fuzzy sliding mode reaching law. The significance of this method is that it diffuses the control signal, reduces or avoids the chattering phenomenon of sliding mode control. For the most, the simulation results show that the linear double inverted pendulum system based on fuzzy sliding mode variable structure control not only retains the strong robustness of sliding mode variable structure control, but also improves the dynamic quality of the system and weakens the buffeting of the system. Thus the method is proved to have certain research.
Adaptive Variable Structure Control for Mismatched Uncertain Systems
