Recursive Algorithm for Parameter Set Estimation

• Main Authors: Feng-Yi Lin, 林鳳儀
• Other Authors: Professor Shih-Y. P.;Professor Hwang-Chi
• Format: Others
• Language: zh-TW
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/24902252439522341206

碩士 === 國立成功大學 === 化學工程研究所 === 82 === This thesis is concerned with the problem of set-membership identification. It refers to a class of recursive algorithms using ellipsoids to approximate the parameter set is formulated by a bounded-error constraint.Three ellipsoid algorithms, including the optimal bounding ellipsoid (OBE),the optimal volume ellipsoid (OVE), and the fuzzy ellipsoidal set (FES), are rederived. It is shown that the ellipsoid algorithm with parallel cuts (EPC) and the OVE algorithm are the same. Due to the fact that the algorithms of EPC and OVE are mathematical equivalence, it can be concluded that the OVE and OBE algorithms are mathematically equivalent. Since the FES algorithm is developed very recently, it deserves detailed studies. The main characteristics underlying the FES is further explored. The above-mentioned ellipsoid algorithms are compared and interpreted geometrically. Moreover, a unified formulation for these algorithms is developed.