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Split PID control: two sensors can be better than one

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Leith Znaimer, John Bechhoefer

Instrumentation and Detectors · Submitted 5 Oct 2014

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The \textit{split-PID} algorithm can outperform PID control loops based on one sensor.

how it is stated · hedged possibility 0.54 read the record →

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arXiv ID1410.1104 (version 1)
Pith IDKT4MG5WC, Pith's permanent record of this paper and its review
CitationJohn Bechhoefer, Leith Znaimer. "Split PID control: two sensors can be better than one." arXiv:1410.1104 (2014). https://pith.science/paper/KT4MG5WC
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The compiled record

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,247 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.14 · human participants 0.03 · controlled comparison 0.83 · randomized assignment 0.02 · states quantitative result 0.04 · compares with prior results 0.91 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The traditional proportional-integral-derivative (PID) algorithm for regulation suffers from a tradeoff: placing the sensor near the sample being regulated ensures that its steady-state temperature matches the desired setpoint. However, the propagation delay (lag) between heater and sample can limit the control bandwidth. Moving the sensor closer to the heater reduces the lag and increases the bandwidth but introduces offsets and drifts into the temperature of the sample. Here, we explore the consequences of using two probes---one near the heater, one near the sample---and assigning the integral term to the sample probe and the other terms to the heater probe. The \textit{split-PID} algorithm can outperform PID control loops based on one sensor.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The traditional proportional-integral-derivative (PID) algorithm for regulation suffers from a tradeoff: placing the sensor near the sample being regulated ensures that its steady-state temperature matches the desired setpoint. background 1.00 0.05 0.03 asserted 1.00
s1 However, the propagation delay (lag) between heater and sample can limit the control bandwidth. background 0.97 0.08 0.02 asserted 0.66
s2 Moving the sensor closer to the heater reduces the lag and increases the bandwidth but introduces offsets and drifts into the temperature of the sample. background 0.98 0.12 0.03 asserted 1.00
s3 Here, we explore the consequences of using two probes---one near the heater, one near the sample---and assigning the integral term to the sample probe and the other terms to the heater probe. method 0.54 0.67 0.06 unclear 0.57
s4 The \textit{split-PID} algorithm can outperform PID control loops based on one sensor. result 0.98 0.81 0.91 hedged possibility 0.54

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from argument 0.59.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The traditional proportional-integral-derivative (PID) algorithm for regulation suffers from a tradeoff: placing the sensor near the sample being regulated ensures that its steady-state temperature matches the desired setpoint. However, the propagation delay (lag) between heater and sample can limit the control bandwidth. Moving the sensor closer to the heater reduces the lag and increases the bandwidth but introduces offsets and drifts into the temperature of the sample. Here, we explore the consequences of using two probes---one near the heater, one near the sample---and assigning the integral term to the sample probe and the other terms to the heater probe. The \textit{split-PID} algorithm can outperform PID control loops based on one sensor.

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