| Summary: | 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.
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