Generalized H∞ Analysis for Linear Time-Varying Singular Systems

• Main Authors: Guan-tian Zhong, 鐘冠添
• Other Authors: Li Lee
• Format: Others
• Language: zh-TW
• Published: 2018
• Online Access: http://ndltd.ncl.edu.tw/handle/66u624

碩士 === 國立中山大學 === 電機工程學系研究所 === 106 === In H∞ control problem, it is usually assumed that the system initial conditions are zero. This thesis extends the results of H∞ control for state-space time-varying systems with nonzero initial conditions to singular time-varying systems, meanwhile redefines the generalized performance index for the considered systems. Necessary and sufficient conditions in the form of linear matrix equality and inequality are derived for singular time-varying systems possessing simultaneously the impulse-free property and the above-mentioned performance measure is less than a pre-specified value. Two kinds of commonly used state feedback controllers are also considered to make the closed-loop singular systems performance specification.