René's URL Explorer Experiment

{"@context":"https://schema.org","@type":"DiscussionForumPosting","headline":"Using input_output_response(...), Simple System Gives Erroneous Output","articleBody":"This system should not have the bump in the output you see about halfway through the simulation.\r\n```\r\nimport matplotlib.pyplot as plt\r\nimport numpy as np\r\nimport control as ctrl\r\n\r\nR = 22e3\r\nC = 470e-6\r\n\r\ncircuit = ctrl.ss(-1/(R*C), 1/(R*C), 1, 0)\r\nt, resp = ctrl.step_response(circuit)\r\nplt.plot(t, resp)\r\nplt.title('Step Response of the RC Circuit')\r\nplt.grid()\r\nprint(\"The eigenvalue is: \",-1/(R*C))\r\nprint(\"numpy gives the eigenvalue, and eigen vector respectively as: \")\r\nnp.linalg.eig(circuit.A)\r\nt = np.arange(0, 120, 0.01)\r\nu = 3.3*148/256-3.3*40/256*np.heaviside(t-60,1)\r\nplt.plot(t,u)\r\nx0 = 3.3*128/256\r\nt, vc = ctrl.input_output_response(circuit, t, u, x0)\r\nplt.plot(t,vc)\r\nplt.grid()\r\nplt.title(\"Response of RC Circuit\")\r\nplt.legend([\"u\",\"$v_c$\"])\r\nplt.xlabel(\"time (seconds)\")\r\nplt.ylabel(\"Voltage (Volts)\")\r\nplt.show()\r\n```\r\n\r\n![image](https://user-images.githubusercontent.com/994565/236429698-d4990dcf-9371-4ef4-9958-47ed940c6ccb.png)\r\n","author":{"url":"https://github.com/frohro","@type":"Person","name":"frohro"},"datePublished":"2023-05-05T10:04:45.000Z","interactionStatistic":{"@type":"InteractionCounter","interactionType":"https://schema.org/CommentAction","userInteractionCount":5},"url":"https://github.com/890/python-control/issues/890"}