On the Feasibility of Self-Powered Linear Feedback Control

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 s...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2024-01, Vol.69 (1), p.113-128
Main Authors: Ligeikis, Connor H., Scruggs, Jeffrey T.
Format: Article
Language:English
Subjects:
Actuation
Admittance
Constrained control
Control systems
Electrical impedance
energy systems
Feasibility
Feedback control
linear feedback
Linear feedback control systems
Linear systems
Network synthesis
Parameters
passivity
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Summary: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 article, 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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3264706