论文标题

在行为框架中的规范分布式控制器上

On a Canonical Distributed Controller in the Behavioral Framework

论文作者

Steentjes, Tom R. V., Lazar, Mircea, Hof, Paul M. J. Van den

论文摘要

在经典传输函数或状态空间设置中的控制通常将控制器视为信号处理器:传感器输出映射到执行器输入。在行为系统理论中,控制被简单地视为互连。植物与控制器的互连。在本文中,我们考虑了在行为环境中控制互连系统的问题。该行为设置特别适合建模互连系统,因为它允许在不施加输入和输出的情况下互连子系统。我们引入了一个所谓的规范分布式控制器,该控制器实现了所需的给定相互联系的行为,只要必要和充分的条件成立。控制器设计可以以分散的方式执行,从某种意义上说,本地控制器仅取决于本地系统的行为。互连的规律性是行为控制中的重要特性,可产生反馈互连。我们提供了该分布式控制器与工厂的互连的条件。此外,我们表明,只有当植物的互连和所需的行为是规则的,且仅当规范分布式控制器的子系统的互连是规则的。

Control in a classical transfer function or state-space setting typically views a controller as a signal processor: sensor outputs are mapped to actuator inputs. In behavioral system theory, control is simply viewed as interconnection; the interconnection of a plant with a controller. In this paper we consider the problem of control of interconnected systems in a behavioral setting. The behavioral setting is especially fit for modelling interconnected systems, because it allows for the interconnection of subsystems without imposing inputs and outputs. We introduce a so-called canonical distributed controller that implements a given interconnected behavior that is desired, provided that necessary and sufficient conditions hold true. The controller design can be performed in a decentralized manner, in the sense that a local controller only depends on the local system behavior. Regularity of interconnections is an important property in behavioral control that yields feedback interconnections. We provide conditions under which the interconnection of this distributed controller with the plant is regular. Furthermore, we show that the interconnections of subsystems of the canonical distributed controller are regular if and only if the interconnections of the plant and desired behavior are regular.

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