Model Reduction of Fuzzy Logic Systems

الملخص EN

This paper deals with the problem of ℒ2-ℒ∞ model reduction for continuous-time nonlinear uncertain systems.

The approach of the construction of a reduced-order model is presented for high-order nonlinear uncertain systems described by the T-S fuzzy systems, which not only approximates the original high-order system well with an ℒ2-ℒ∞ error performance level γ but also translates it into a linear lower-dimensional system.

Then, the model approximation is converted into a convex optimization problem by using a linearization procedure.

Finally, a numerical example is presented to show the effectiveness of the proposed method.