Model Approximation for Discrete-Time State-Delay Systems in the T-S Fuzzy Framework

• Published in: IEEE transactions on fuzzy systems Vol. 19; no. 2; pp. 366 - 378
• Main Authors: Wu, Ligang, Su, Xiaojie, Shi, Peng, Qiu, Jianbin
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2011; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Approximation methods; Delay; Delay partitioning; discrete-time systems; Fuzzy systems; Nonlinear systems; Numerical models; Reduced order systems; Studies; Symmetric matrices; Takagi-Sugeno (T-S) fuzzy systems; time delay; {H}_{\infty } model approximation

This paper is concerned with the problem of H ∞ model approximation for discrete-time Takagi-Sugeno (T-S) fuzzy time-delay systems. For a given stable T- S fuzzy system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well in an...