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The results of the proposed IT2F- PID controller using a new method of type-reduction are compared with the other proposed IT2F- PID controller using the uncertainty bound method and the type-1 fuzzy PID controller (T1F- PID). The proposed IT2F- PID controller is able to handle the effect of structure uncertainties due to the structure of the interval type-2 fuzzy logic system (IT2-FLS). The proposed controller is designed using a new method of type-reduction that we have proposed, which is called the simplified type-reduction method. In this paper, the interval type-2 fuzzy proportional-integral-derivative controller (IT2F- PID) is proposed for controlling an inverted pendulum on a cart system with an uncertain model. Interval type-2 fuzzy PID controller for uncertain nonlinear inverted pendulum system.
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