关于一类分布参数系统的快速控制问题
Time Optimal Control Problems of A Specific Class of Distributed Parameter Systems
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摘要: 本文研究了某类分布参数系统快速控制表达式.用一种新方法证明了快速控制属于允 许控制集合的边界,并求出了最速时间应满足的方程,因此可由计算机求出最速时间的数值. 最后举出了计算实例,说明本文方法可用于计算受控弹性梁的快速镇定等问题.Abstract: In this paper, a representation for time optimal control of a specific class of distributed parameter systems is studied. A new method is used to prove the fact that time optimal control settles on the boundary of the admissible set. An equation wrich the optimal lime should satisfy is derived. Therefore, numerical value of the optimal time can be acquired via a computer. Finally, a computation example is also given, which indicates that the method can be used in the computation of rapid stabilization of controlled elastic beams.
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