Model conversions of uncertain linear time-delay systems

• Main Authors: Feng-Chi Liu, 劉豐琦
• Other Authors: Jason Sheng-Horng Tsai
• Format: Others
• Language: zh-TW
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/45578200110383258073

碩士 === 國立成功大學 === 電機工程研究所 === 82 === This thesis proposes the block-pulse function approach, the Pade and inverse-Pade approximation method and the scaling and squaring geometric series method for the model conversions of a continuous-time (discrete-time) uncertain linear time-delay system to an equivalent discrete-time(continuous-time)uncertain linear time-delay model. The proposed methods allow the use of well-developed theorems and algorithms in the discrete-time (continuous-time) domain to indirectly solve the continuous- time (discrete-time) domain problems. The continuous-time uncertain time-delay system is considered as a continuous-time nominal matrices with the uncertainties and the input part with pure delay time. The digital redesign concept is used to determine the discrete-time uncertainties from the continuous- time un- certain time-delay system, and vice versa. Moreover, the thesis also proposes a method to estimate tighter bounds of discrete- time (continuous-time) structured uncertainties based on the given continuous-time (discrete-time) structured uncertainties. Illustrative examples are given to demostrate the accuracy and effectiveness of the proposed methods.