Sampled update and hold

Understand the Sampled update and hold relationship used by Control Systems.

Where to find it

Control Systems → equations

How to use it

Compare the terms, signs and units with your intended physical assumptions before choosing model inputs.

Result

Equation: \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}.

Troubleshooting

The equation describes the model assumptions; it is not a separate editable boundary condition. Check the parent physics page for setup and limitations.