| Summary: | 碩士 === 逢甲大學 === 自動控制工程研究所 === 83 === The primary objective of this thesis is to design a robust
limit cycle controller based on the pole assignment technique
for nonlinear systems. One of the most popular methods of
dealing with nonlinear control systems is the describing
function method. The describing function method can be used to
approximately analyze nonlinear behavior, specifically for pre-
diction of limit cycles in the nonlinear systems. By means of
this method on the nonlinear systems, the quasi-linear model
can be obtained. It has found that, while the closed-loop poles
are clustered, the system is extremely sensitive to parameter
being changed. Thus, a robust limit cycle controller design can
be accomplished by the pole placement technique. In this study,
a criterion for limit cycle stability is proposed. Sometimes, a
limit cycle could be desirable, such as the case of limit
cycles in the electronic oscillators used in the laboratories.
Therefore, the stability of limit cycle is critical. In
addition, by using this criterion, not only can the stability
of limit cycle be determined, but also can the controller,
which is designed for a robust limit cycle in non- linear
systems, be validated.
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