Designing a Fuzzy Type-2 Model-based Robust Controller for Ball and Beam System

In the real world an important set of existing systems are inherently non-linear and unstable and essentially require feedback control for effective and safe performance. This paper investigates the designing of an IT-2 fuzzy state feedback control for the ball and beam system. We present the system with an IT-2 fuzzy model and construct an interval fuzzy state feedback controller with an extended dissipativity performance. Finally, the existence conditions, the stability analysis and control design problem are obtained in term of convex optimization problems, which can be solved by standard software. At the end, we present the simulation results.