This study presents web handling systems with the characteristic of a changing moment of inertia and operating radius of rolls. Commonly, sliding mode control (SMC) is used to control the web tension of this system due to its robustness against modeling imprecision. However, this method still needs to consider the components of uncertainty, precisely the moment of inertia. A sliding mode controller integrated moment of inertia observer is the novel of the paper. The stability of the controlled system is proved by using Lyapunov's stability theory, also presented in this paper. The simulation results are compared to clarify that the proposed controller has reliable performance.