Summary: | 碩士 === 國立雲林科技大學 === 機械工程技術研究所 === 83 ===
In this thesis, the Taylor series method is employed to solve the two-point boundary value problems of dynamic linear systems. The basic concept is that the state functions are expressed in terms of Taylor series. A powerful and effective computational algorithm is developed to solve the problems for any length of time in order to obtian more accurate results. The computational algorithm is very simple, straightforward and does not involve any matrix inversion during integration. Therefore, using this present algorithm, the computation of many more calculation procedures is simplied and the computational time can be reduced greatly.
This effective approach can be applied to solve the optiomal control of linear dynamic systems and to solve the optimal linear regulators with low sensitivity. Several illustrative examples are given, and satisfactory computational results are obtained.
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