Fuzzy modeling with unstructured data uncertainty

Linear robust estimation with unstructured uncertainty is studied in this paper firstly. On the foundation of L. E. Ghaoui´s work, the robust estimation under the new constraint is formulated and the algorithm based on LMI is derived. In this base, combined with the fuzzy modeling method based on the tree-structured fuzzy inference system, a robust fuzzy modeling method is presented. By the numerical example, which comes of engineering, it is shown that the proposed method processes better robustness than the existed robust fuzzy tree (RFT) method.