Necessary Conditions for Feasibility of Linear, Time-Invariant Self-Powered Feedback Control Laws

J. Scruggs, C. Ligeikis
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Abstract

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. In this paper we consider the use of actively-controlled electronics to impose a self-powered linear feedback law. In this case, the feasibility of a linear feedback law must account for parasitic losses in the electronics and energy storage system. For the case in which the feedback law is linear and time-invariant, this paper derives necessary feasibility conditions which explicitly account for these losses. This feasibility condition is then illustrated in a simple example.
线性定常自供电反馈控制律可行性的必要条件
如果一个控制系统运行所需的唯一能量是它从电厂吸收的能量,那么它就被称为自供电系统。为了使线性反馈律对自供电控制系统可行,其反馈信号必须与控制输入并置,其输入-输出映射必须满足相关的无源约束。在本文中,我们考虑使用主动控制电子器件来施加自供电线性反馈律。在这种情况下,线性反馈律的可行性必须考虑到电子和储能系统中的寄生损耗。对于反馈律是线性时不变的情况,本文导出了明确解释这些损失的必要可行性条件。然后用一个简单的例子说明了这种可行性条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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