On control of nD plant with 1D controller in a behavioral framework
On control of nD plant with 1D controller in a behavioral framework
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在行为框架中使用一维控制器控制 nD 对象
DOI：
10.3166/ejc.16.159-168
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Satoshi Yamamoto
中科院分区：
文献类型：
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作者：
O. Kaneko;Satoshi Yamamoto
在本文中，我们解决的控制问题的n维（动态演变的n个独立的变量，简称为n-D）的植物与1-D控制器（动态演变的只有普通的时间）为所需的1-D或n-D的控制行为。从理论上讲，这类问题涉及在两个系统的时间轴（或自变量）不同的情况下，在什么条件下可以互连两个系统的问题。从实践的观点来看，有许多情况下，植物的动态不仅随着时间而且随着空间坐标而演变，例如，热传递、弹性膜的振动等应该由一组常微分方程描述的控制器来控制。作为本文的主要结果，我们首先提出了一个必要和充分的条件，所需的1-D控制器的情况下，其中的动态对象是n-D的1-D的控制行为来实现。然后，我们还提出了一个必要和充分条件所需的n-D控制的行为，在相同的情况下实施。最后，我们也考虑这些问题的线性时不变的情况下。
In this paper, we address the control problems of an n-dimensional (the dynamics evolves with n independent variables, and which is abbreviated to as n-D) plant with a 1-D controller (the dynamics evolves with only the ordinary time) for a desired 1-D or n-D controlled behavior. From the theoretical points of view, such issues are concerned with the problem under what condition it is possible to interconnect two systems in the case in which the time axes (or independent variables) of them are different. From the practical points of view, there are many cases in which the dynamics of a plant evolving with not only the time but also the spacial coordinates, e.g., the heat transfer, the vibration of the elastic membrane, and so on, should be controlled by a controller described by the set of ordinary differential equations. As main results of this paper, we first present a necessary and sufficient condition for the desired 1-D controlled behavior to be implemented by a 1-D controller in the case in which the dynamics of a plant is n-D. We then also present a necessary and sufficient condition for the desired n-D controlled behavior to be implemented in the same situation. Finally, we also consider these problems in the linear time-invariant case.
DOI：
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发表时间：
2007
期刊：
影响因子：
--
作者：
Y. Ishido;K. Takaba
通讯作者：
K. Takaba
DOI：
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发表时间：
2006
期刊：
Journal of Computer and System Sciences International 45
影响因子：
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作者：
O. Kaneko;T. Misaki;T. Fujii
通讯作者：
T. Fujii