physics-equationPreview
Sampled update and hold
Sampler, hold, delay, sampled PID, ADC, and DAC timing is owned by deterministic sample-period events.
Reference contract
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | global | — |
| latex | \mathbf x_k=\mathcal F(\mathbf x_{k-1},\mathbf u_k)\ \text{at events},\quad\mathbf x_k=\mathbf x_{k-1}\ \text{otherwise} | — |
| mathml | <math display="block"><mrow><msub><mi>x</mi><mi>k</mi></msub><mo>=</mo><mi>F</mi><mo>(</mo><msub><mi>x</mi><mrow><mi>k</mi><mo>-</mo><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>u</mi><mi>k</mi></msub><mo>)</mo></mrow></math> | — |
| name | Sampled update and hold | — |
| section | governing-equation | — |
Sampler, hold, delay, sampled PID, ADC, and DAC timing is owned by deterministic sample-period events.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | global |
| latex | \mathbf x_k=\mathcal F(\mathbf x_{k-1},\mathbf u_k)\ \text{at events},\quad\mathbf x_k=\mathbf x_{k-1}\ \text{otherwise} |
| mathml | <math display="block"><mrow><msub><mi>x</mi><mi>k</mi></msub><mo>=</mo><mi>F</mi><mo>(</mo><msub><mi>x</mi><mrow><mi>k</mi><mo>-</mo><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>u</mi><mi>k</mi></msub><mo>)</mo></mrow></math> |
| name | Sampled update and hold |
| section | governing-equation |