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On interconnections, control, and feedback

机译：关于互连，控制和反馈

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摘要

The purpose of this paper is to study interconnections and control of dynamical systems in a behavioral context. We start with an extensive physical example which serves to illustrate that the familiar input-output feedback loop structure is not as universal as we have been taught to believe. This leads to a formulation of control problems in terms of interconnections. Subsequently, we study interconnections of linear time-invariant systems from this vantage point. Let us mention two of the results obtained. The first one states that any polynomial can be achieved as the characteristic polynomial of the interconnection with a given plant, provided the plant is not autonomous. The second result states that any subsystem of a controllable system can be implemented by means of a singular feedback control law. These results yield pole placement and stabilization of controllable plants as a special case. These ideas are finally applied to the stabilization of a nonlinear system around an operating point.
机译：本文的目的是研究行为环境中动力系统的互连和控制。我们从一个广泛的物理示例开始，该示例用于说明熟悉的输入-输出反馈回路结构并不像我们被教导相信的那样普遍。这导致在互连方面出现控制问题。随后，我们从这个有利位置研究线性时不变系统的互连。让我们提及其中两个结果。第一个陈述指出，只要工厂不是自治的，任何多项式都可以实现为与给定工厂互连的特征多项式。第二个结果表明，可控系统的任何子系统都可以通过奇异反馈控制律来实现。这些结果在特殊情况下产生了极点放置和可控设备的稳定性。这些想法最终被应用到围绕工作点的非线性系统的稳定化。

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