Lemonergy · Studio block

Zero-order hold

Captures the input at sample ticks and holds it unchanged between them.

Implementation ID
native-sample-hold
Reviewed
2026-10-27

Behavior

y(t) = u[k] for sample time k until the next tick. The worked example connects this operation to signals in Lemonergy Studio.

Interface

Zero-order hold interfaceInputs or arguments on the left, observed outputs on the right. Conserving terminals appear below the component. The tables give units and behavior.Zero-order holdStudio blockin0out0
Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.
Ports and observed outputs
NameDirectionUnitMeaning
in0input1Value; real scalar.
out0output1Held; real scalar.

Parameters

Defaults are initial model values. Select values for your own model and operating conditions.

Configuration fields
ParameterUnitDefaultMeaning and limits
Sample period
sampleTimeS
s0.1Exact sample grid period. Elapsed-time integration begins after initialization.
Minimum 1e-06

Equations and rules

  • y(t) = u[k] for sample time k until the next tick

Worked example

Zero-order hold — worked example

Value = 3. Held at 0 s = 3.

Open Studio example after release →
Numerical checks for the bundled synthetic example
OutputTime (s)Expected valueUnitAbsolute tolerance
Held
out0
0311e-08

Explore the recorded outputs

Zero-order hold recorded example

Zero-order hold
Zero-order hold against timeRecorded synthetic simulation values. Time in seconds; output in —.2.502.750.2530.53.250.753.51—Time (s)
Zero-order hold: 3 — at 0 s

11 actual recorded samples. Lines are visual guides between samples. Synthetic example, not measured cell data.

Download the recorded samples (JSON) · Open this Studio example after release

Use in a workflow

Zero-order hold — worked example

Captures the input at sample ticks and holds it unchanged between them.

  1. Zero-order hold: y(t) = u[k] for sample time k until the next tick. The worked example connects this operation to signals in Lemonergy Studio.
    • Use the block reference for settings and connections.
    • Implementation tested locally; public release pending.
Open Studio example after release

Connected concepts

Limits and interpretation

  • Shapes and element types are explicit. Values must be finite; automatic reshaping and unit conversion are not performed.

Reference basis

This software operation and its numerical conventions are defined by the public contract and worked example; no external research result is claimed.

Implementation sources

This reference follows the public interface and locally verified numerical checks for an upcoming release.

Contract: Lemonergy Studio public contract · Verification record: verification-2026-10-27

  • docs/glossary/native-block-verification.json

This implementation and its workflow uses (JSON) · Knowledge graph (JSON-LD)