论文标题
关于自动线性反馈控制的可行性
On the Feasibility of Self-Powered Linear Feedback Control
论文作者
论文摘要
如果控制系统需要进行操作，则称为自动驱动系统。为了使线性反馈定律对于自动控制系统是可行的，必须将其反馈信号与控件输入共归入，并且其输入输出映射必须满足相关的被动率约束。强加这种反馈法可以等效地将其视为在植物的致动端口强加了线性分流式。在本文中，我们考虑使用主动控制的电子设备施加了自幂的线性反馈定律。为了可行的是，强加的入场券是被动的，因为寄生损失还必须克服。我们得出了足够的可行性条件，这些条件明确解释了这些损失。在有限维的，时间不变的情况下，可行性条件提取到更保守的正真实引理的版本，该版本由各种损失参数进行了参数。给出了三个示例，其中使用此条件来确定实现所需反馈定律所需的最小损失参数。
A control system is called self-powered if the only energy it requires for operation is that which it absorbs from the plant. For a linear feedback law to be feasible for a self-powered control system, its feedback signal must be colocated with the control inputs, and its input-output mapping must satisfy an associated passivity constraint. The imposition of such a feedback law can be viewed equivalently as the imposition of a linear passive shunt admittance at the actuation ports of the plant. In this paper we consider the use of actively-controlled electronics to impose a self-powered linear feedback law. To be feasible, it is insufficient that the imposed admittance be passive, because parasitic losses must additionally be overcome. We derive sufficient feasibility conditions which explicitly account for these losses. In the finite-dimensional, time-invariant case, the feasibility condition distills to a more conservative version of the Positive Real Lemma, which is parametrized by various loss parameters. Three examples are given, in which this condition is used to determine the least-efficient loss parameters necessary to realize a desired feedback law.
