Achievable behavior by composition
Achievable behavior by composition
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通过组合可实现的行为
DOI：
10.1109/cdc.2002.1184458
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
A. Julius
中科院分区：
文献类型：
--
作者：
A. Schaft;A. Julius
系统和控制理论中的一个基本问题是关于给定的被控对象系统和待设计的控制器系统的可实现的闭环系统集的特征。例如，这个问题在评估受控系统的“性能极限”时就出现了。自动机理论和离散事件系统的研究人员已经研究了类似的问题，用给定系统及其控制器的组成代替闭环系统的概念。在本文中，这个问题是在一个一般的行为背景下。必要的和充分的条件，往往是一个行为是可实现的，并为任何可实现的行为的规范控制器的定义。这些结果推广了以前得到的有限维线性系统的结果。接下来，这些一般结果适用于自动机和混合系统类。
A fundamental question in systems and control theory concerns the characterization of the set of achievable closed-loop systems for a given plant system and a controller system to be designed. This problem, for example, shows up in assessing the 'limits of performance' of a controlled system. Similar problems have been studied by researchers in automata theory and discrete event systems replacing the notion of closed-loop system by the composition of a given system and its controller. In this paper this problem is addressed in a general behavioral context. Necessary and often sufficient conditions for a behavior to be achievable are given, and for any achievable behavior a canonical controller is defined. These results generalize previously obtained results obtained for finite-dimensional linear systems. Next these general results are applied to classes of automata and hybrid systems.