.. _sphx_glr_api_gallery_control_systems_sampled:

Sampled-data control
--------------------

Computer control with a zero-order hold.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="When a digital computer closes the loop it reads the plant only at sampling instants and holds each command constant until the next. John Ragazzini and Lotfi Zadeh (1952) developed the z-transform analysis of such loops. For a zero-order hold the continuous model is replaced exactly by x_{k+1} = e^{AT}x_k + \int_0^T e^{A\tau}d\tau\,B\,u_k (~engineeringkit.control_systems.discretize_zoh). The naive Euler step x_{k+1} = (I + AT)x_k + BTu_k is only an approximation.">

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  .. image:: /api/gallery/control_systems/sampled/images/thumb/sphx_glr_plot_01_ragazzini_zadeh_zero_order_hold_thumb.png
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  :doc:`/api/gallery/control_systems/sampled/plot_01_ragazzini_zadeh_zero_order_hold`

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      <div class="sphx-glr-thumbnail-title">Ragazzini and Zadeh's sampled-data systems</div>
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    </div>


.. toctree::
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   /api/gallery/control_systems/sampled/plot_01_ragazzini_zadeh_zero_order_hold