.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "_auto_examples/plot_poles_zeros.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download__auto_examples_plot_poles_zeros.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr__auto_examples_plot_poles_zeros.py:

Plot Poles and Zeros
=====================================

:func:`sysplot.plot_poles_zeros` draws poles as ``x`` markers and zeros as
hollow circles ``o`` on the complex plane. Multiple calls to the function
automatically cycle through colors and linestyles, making it easy to overlay
several systems on the same axes.

.. GENERATED FROM PYTHON SOURCE LINES 9-40



.. image-sg:: /_auto_examples/images/sphx_glr_plot_poles_zeros_001.png
   :alt: Pole-zero map
   :srcset: /_auto_examples/images/sphx_glr_plot_poles_zeros_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    import control as ctrl
    import sysplot as ssp

    ssp.apply_config()

    # First system: underdamped second-order
    system1 = ctrl.tf([1, 1], [1, 1, 2])
    poles1 = ctrl.poles(system1)
    zeros1 = ctrl.zeros(system1)

    # Second system: third-order with distinct poles
    system2 = ctrl.tf([1, -2], [1, 3, 1])
    poles2 = ctrl.poles(system2)
    zerors2 = ctrl.zeros(system2)

    # third system: second-order with repeated poles at the origin
    system3 = ctrl.tf([1, 5], [1, 0, 0])
    poles3 = ctrl.poles(system3)
    zerors3 = ctrl.zeros(system3)

    fig, ax = plt.subplots(figsize=ssp.get_figsize())

    ssp.plot_poles_zeros(poles=poles1, zeros=zeros1, label="System 1", ax=ax)
    ssp.plot_poles_zeros(poles=poles2, zeros=zerors2, label="System 2", ax=ax)
    ssp.plot_poles_zeros(poles=poles3, zeros=zerors3, label="System 3", ax=ax)

    ax.set(title="Pole-zero map", xlabel=r"Re[$s$]", ylabel=r"Im[$s$]")
    ax.legend()
    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.232 seconds)


.. _sphx_glr_download__auto_examples_plot_poles_zeros.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_poles_zeros.ipynb <plot_poles_zeros.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_poles_zeros.py <plot_poles_zeros.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_poles_zeros.zip <plot_poles_zeros.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_