Identification of Linear Time Varying and Nonlinear Systems by Haar Wavelet

• Main Authors: Keng-Chu Ho, 何庚柱
• Other Authors: Shyh-Leh Chen
• Format: Others
• Language: en_US
• Published: 2003
• Online Access: http://ndltd.ncl.edu.tw/handle/10276866032027704475

碩士 === 國立中正大學 === 機械系 === 91 === This thesis addresses the identification of linear time varying and non-linear systems. For linear time varying systems, it is to estimate the unknown time functions. For non-linear systems, it is to estimate the unknown parameters. The idea for identification is the expansion of all time functions by Haar basis. Haar wavelet is a set of complete, orthogonal basis and is easy to computations. Its property, that both the integration and multiplication of Haar basis functions can be expanded in Haar basis, is utilized. Together with the least square method and Kronecker product, the unknown time functions and the unknown parameters can be obtained.