Stabilization of Perturbed Linear System with Time-Varying Delay

• Main Authors: Wen-Cheng Chang, 常文正
• Other Authors: Chih-Chiang Cheng
• Format: Others
• Language: zh-TW
• Published: 1999
• Online Access: http://ndltd.ncl.edu.tw/handle/04881045707995819430

碩士 === 國立中山大學 === 電機工程學系 === 87 === The design of state feedback controllers and observers are proposed in this thesis for a class of MIMO linear systems with uncertainties and time varying delays. By using Lyapunov stability theorem, a sufficient condition is found for computing the state feedback gain of controllers and the gain of observers in order to stabilize the closed-loop systems in spite of the existence of parameters variations. This sufficient condition is fulfilled by two linear matrices inequalities (LMIs), which can be solved easily by utilizing the software package LMI Control Toolbox of Matlab. The asymptotic stability of the closed-loop system is guaranteed if the solution of LMIs exist.