diff --git a/doc/chap_examples.rst b/doc/chap_examples.rst index 847efea8..0a253da6 100644 --- a/doc/chap_examples.rst +++ b/doc/chap_examples.rst @@ -790,15 +790,15 @@ Now we can compute the reach set of the linear system and taking its projection onto :math:`(z_1, z_2)` subspace. - .. _hwfig: .. figure:: /pic/chapter06_section06_pic1.png :alt: highway :width: 100 % - Figure shows solvability set projection onto (x_3, x_4) of system - ( evolves in time from t=0 to t=5, end position is x1=0, x2=0,x3=0,x4=0. + Figure shows solvability set projection onto (:math:`z_3, z_4`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=0, z_2=0,z_3=0,z_4=0`) .. _hwfig: @@ -807,9 +807,94 @@ and taking its projection onto :math:`(z_1, z_2)` subspace. :alt: highway :width: 100 % - Figure shows solvability set projection onto (x_1, x_2) of system - ( evolves in time from t=0 to t=5, end position is x1=0, x2=0,x3=0,x4=0. + Figure shows solvability set projection onto (:math:`z_1, z_2`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=0, z_2=0,z_3=0,z_4=0`) + +.. _hwfig: + +.. figure:: /pic/chapter06_section06_pic3.png + :alt: highway + :width: 100 % + + Figure shows solvability set projection onto (:math:`z_1, z_3`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=0, z_2=0,z_3=0,z_4=0`) + +.. _hwfig: + +.. figure:: /pic/chapter06_section06_pic4.png + :alt: highway + :width: 100 % + + Figure shows solvability set projection onto (:math:`z_2, z_4`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=0, z_2=0,z_3=0,z_4=0`) + +.. _hwfig: +.. figure:: /pic/chapter06_section06_pic5.png + :alt: highway + :width: 100 % + + Figure shows solvability set projection onto (:math:`z_3, z_4`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`) + + +.. _hwfig: + +.. figure:: /pic/chapter06_section06_pic6.png + :alt: highway + :width: 100 % + + Figure shows solvability set projection onto (:math:`z_1, z_2`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`) + +.. _hwfig: + +.. figure:: /pic/chapter06_section06_pic7.png + :alt: highway + :width: 100 % + + Figure shows solvability set projection onto (:math:`z_1, z_3`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`) + +.. _hwfig: + +.. figure:: /pic/chapter06_section06_pic8.png + :alt: highway + :width: 100 % + + Figure shows solvability set projection onto (:math:`z_2, z_4`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`) + +.. _hwfig: + +.. figure:: /pic/chapter06_section06_pic9.png + :alt: highway + :width: 100 % + + Now set control restrictions on :math:`\alpha_1 = 10, \alpha_2 = 10`. + Figure shows solvability set projection onto (:math:`z_1, z_2`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`) + +.. _hwfig: + +.. figure:: /pic/chapter06_section06_pic10.png + :alt: highway + :width: 100 % + + Figure shows solvability set projection onto (:math:`z_3, z_4`) of system + ( evolves in time from t=0 to t=5, end position is + :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`, control limits: + :math:`\alpha_1 = 10, \alpha_2 = 10`) + + .. raw:: latex \newpage diff --git a/doc/pic/chapter06_section06_pic10.png b/doc/pic/chapter06_section06_pic10.png new file mode 100644 index 00000000..805d1d53 Binary files /dev/null and b/doc/pic/chapter06_section06_pic10.png differ diff --git a/doc/pic/chapter06_section06_pic3.png b/doc/pic/chapter06_section06_pic3.png new file mode 100644 index 00000000..d7d5783f Binary files /dev/null and b/doc/pic/chapter06_section06_pic3.png differ diff --git a/doc/pic/chapter06_section06_pic4.png 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