title: TSK fuzzy function approximators: design and accuracy analysis.
abstract: Fuzzy systems are excellent approximators of known functions or for the dynamic response of a physical system. We propose a new approach to approximate any known function by a Takagi-Sugeno-Kang fuzzy system with a guaranteed upper bound on the approximation error. The new approach is also used to approximately represent the behavior of a dynamic system from its input-output pairs using experimental data with known error bounds. We provide sufficient conditions for this class of fuzzy systems to be universal approximators with specified error bounds. The new conditions require a smaller number of membership functions than all previously published conditions. We illustrate the new results and compare them to published error bounds through numerical examples.
authors.affiliation: Power Generation Engineering and Services Company, Cairo, Egypt. ahsonbol@PGESCo.com
authors.forename: Assem H
authors.initials: AH
authors.lastname: Sonbol
authors.forename: M Sami
authors.initials: MS
authors.lastname: Fadali
authors.forename: Saeed
authors.initials: S
authors.lastname: Jafarzadeh
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003661:Decision Support Techniques; D017143:Fuzzy Logic; D008962:Models, Theoretical; D010363:Pattern Recognition, Automated / Q000379:methods*