Sufficient Condition for Linear T-S Fuzzy Systems as Universal Approximators
线性T-S模糊系统作为通用逼近器的充分条件

As the basis of theoretical research and pratical applications of fuzzy systems, studies on fuzzy systems as universal approximators have achieved great progress. However, only a few papers in the literature have investigated sufficient conditions for fuzzy systems as universal approximators. This paper presents a new sufficient condition under which the linear T S fuzzy systems can uniformly approximate any real continuous functions defined on a compact set to any degree of accuracy. Numerical examples demonstrate that our result is obriously better than currently available results.