H∞ Stabilization Analysis - Multiconvexity Approach

• Main Authors: Fong-Jhou Li, 李豐州
• Other Authors: Ji-Chang Lo
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/46809247460103751904

碩士 === 國立中央大學 === 機械工程研究所 === 94 === A new stabilization condition guaranteeing H∞ performance of T-S fuzzy control systems is studied in this paper, continuous- and discrete-time fuzzy control systems treated in a unified manner. A premise-dependent Lyapunov function is chosen and the quadratic property of the premise (i.e. grade of membership, μ) is considered in the stabilization analysis. The stabilization analysis is performed on the basis of Lyapunov theory and multiconvexity, here stated using LMI to profit from the advantage of convex optimization. It is shown, via theoretical analysis and numerical simulations, that our results are much less conservative than existing reports in the literature.