The modified Lyapunov theorems and regional pole assignment problems for singular systems

• Main Authors: Lin Ching Hsiao, 林慶曉
• Other Authors: Lee Tsu Tian
• Format: Others
• Language: en_US
• Published: 1996
• Online Access: http://ndltd.ncl.edu.tw/handle/63509574701789243621

碩士 === 國立臺灣科技大學 === 電機工程研究所 === 84 === The modified Lyapunov equations for both continuous and discrete time singular systems are studied. Necessary and sufficient conditions for the systems to be impulse free and all the poles of the system are within the specified region are obtained. The approach is based on the generalized regularity property . Furthermore, the regional pole assignment problem of linear, time-invariant singular systems is discussed. The performance index to be minimized consists of two parts. One is used to avoid any of the poles of the closed-loop system approaching to the boundary of the desired region, and the other is used to minimize the two norm of the closed-loop transfer function matrix. The desired region considered in this paper can be the intersection of some quadratic curves. A special case of the desired region formed by the intersection of the line segments and the disks is also presented for illustration.