On Approximate Linearizations for the Nonlinear

• Main Authors: chen pi-yun, 陳碧雲
• Other Authors: Huann-Keng Chiang
• Format: Others
• Language: zh-TW
• Published: 1998
• Online Access: http://ndltd.ncl.edu.tw/handle/72421864133220384010

碩士 === 國立雲林科技大學 === 電機工程技術研究所 === 86 === The linearizing methods of nonlinear time-varying systems without outputs and with outputs are proposed, respectively. The approximate linearization for nonlinear time-varying systems without outputs is presented by a quadratic form. We only solve a set of linear equations instead of exact linearization method solving the partial differential equations. This method transforms the nonlinear time-varying systems to the approximate linear time-invariant form. The pseudo-linearization is used for the nonlinear time-varying systems with output. A necessary and sufficient condition is derived to transform a nonlinear time-varying system into a pseudo-normal form. A pseudo-linearized system has the property that its family of linearizations about constant operating points has input-output behavior that is independent of the operating point. Finally, the partially linearization method is used to increase the linear dimensions of the pseudo-normal form nonlinear time varying systems.