Design of observer-based integral adaptive fuzzy sliding mode controllers for a class of uncertain nonlinear systems

The observer-based integral adaptive fuzzy sliding mode controllers are developed for a class of uncertain nonlinear systems. By designing the state observer, the fuzzy systems, which are used to approach any unknown functions, it can be constructed using the state observer-based estimations. Based on Lyapunov stability theorem, the proposed integral adaptive fuzzy sliding mode control system can guarantee the stability of the whole closed-loop systems and obtain good tracking performance as well. The proposed methods are applied to an inverted pendulum system achieve satisfactory simulation results.