.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "_auto_examples/plot_nyquist.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_nyquist.py>`
        to download the full example code.

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

.. _sphx_glr__auto_examples_plot_nyquist.py:

Plot Nyquist
=====================================

:func:`sysplot.plot_nyquist` draws the Nyquist diagram of a frequency
response in the complex plane. A directional arrow marks the direction of
increasing frequency. The complex conjugate (mirror) curve is shown at
reduced opacity, controlled by ``alpha``. The arrow position along the
curve arc length is set by ``arrow_position``.

.. GENERATED FROM PYTHON SOURCE LINES 10-39



.. image-sg:: /_auto_examples/images/sphx_glr_plot_nyquist_001.png
   :alt: mirror=True (default), mirror=False, arrow_position=0.8
   :srcset: /_auto_examples/images/sphx_glr_plot_nyquist_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


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

    ssp.apply_config()

    system = ctrl.tf([6.25], [1, 3, 6.25])
    omega = np.logspace(-2, 2, 1000)
    mag, phase, _ = ctrl.frequency_response(system, omega)
    real = mag * np.cos(phase)
    imag = mag * np.sin(phase)

    fig, axes = plt.subplots(1, 3, figsize=ssp.get_figsize(ncols=3))

    # Default: mirror shown at half opacity, arrow at 33 % arc length
    ssp.plot_nyquist(real, imag, ax=axes[0])
    axes[0].set(title="mirror=True (default)", xlabel=r"Re[$H$]", ylabel=r"Im[$H$]")

    # No mirror curve
    ssp.plot_nyquist(real, imag, ax=axes[1], mirror=False)
    axes[1].set(title="mirror=False", xlabel=r"Re[$H$]")

    # Arrow placed later along the curve
    ssp.plot_nyquist(real, imag, ax=axes[2], arrow_position=0.8)
    axes[2].set(title="arrow_position=0.8", xlabel=r"Re[$H$]")

    plt.show()


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

   **Total running time of the script:** (0 minutes 0.605 seconds)


.. _sphx_glr_download__auto_examples_plot_nyquist.py:

.. only:: html

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

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

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

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

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

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

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


.. only:: html

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

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