{ "cells": [ { "cell_type": "markdown", "id": "c3d4e5f6-0003-4000-8000-000000000001", "metadata": {}, "source": [ "# PathSim Introduction\n", "\n", "[PathSim](https://github.com/pathsim/pathsim) is a block-based, time-domain system simulation\n", "framework for Python. It lets you model dynamical systems graphically using *blocks* (sources,\n", "integrators, functions, scopes, …) and *connections*, then simulate them with a choice of ODE solvers.\n", "\n", "PathSim is particularly useful for:\n", "\n", "* Rapid prototyping of control systems.\n", "* Running hardware-in-the-loop (HIL) scenarios.\n", "* Wrapping external simulation engines (e.g. JSBSim – see `04_pathsim_jsbsim_trim_elevator_doublet.ipynb`).\n", "\n", "Documentation: [https://docs.pathsim.org](https://docs.pathsim.org)\n", "\n", "### Install\n", "\n", "```bash\n", "pip install pathsim\n", "# or\n", "conda install conda-forge::pathsim\n", "```" ] }, { "cell_type": "markdown", "id": "c3d4e5f6-0003-4000-8000-000000000002", "metadata": {}, "source": [ "## 1. Imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "colab-install", "metadata": {}, "outputs": [], "source": [ "# If running on Google Colab, install the required packages.\n", "\n", "import sys\n", "\n", "if 'google.colab' in sys.modules:\n", " print('Running on Google Colab \\u2013 installing pathsim \\u2026')\n", " !pip install pathsim\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "c3d4e5f6-0003-4000-8000-000000000003", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:10.955400Z", "iopub.status.busy": "2026-04-03T12:39:10.955252Z", "iopub.status.idle": "2026-04-03T12:39:12.054552Z", "shell.execute_reply": "2026-04-03T12:39:12.053775Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PathSim version : 0.20.0\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "\n", "from pathsim import Simulation, Connection\n", "from pathsim.blocks import (\n", " Integrator,\n", " Amplifier,\n", " Adder,\n", " Scope,\n", " Source,\n", " Constant,\n", " Function,\n", ")\n", "import pathsim\n", "\n", "matplotlib.rcParams.update({'figure.dpi': 120, 'axes.grid': True, 'grid.alpha': 0.4})\n", "\n", "print(f\"PathSim version : {pathsim.__version__}\")" ] }, { "cell_type": "markdown", "id": "c3d4e5f6-0003-4000-8000-000000000004", "metadata": {}, "source": [ "## 2. Example 1 – Damped harmonic oscillator\n", "\n", "We model the second-order ODE\n", "\n", "$$\\ddot{x} + 2\\zeta\\omega_n \\dot{x} + \\omega_n^2 x = 0$$\n", "\n", "with $\\omega_n = 2\\,\\text{rad/s}$ and $\\zeta = 0.25$ (under-damped).\n", "\n", "The block diagram is:\n", "\n", "```\n", "Adder → Integrator(v0) → Integrator(x0) ──→ Scope\n", " ↑ ↓ ↓\n", " └── Amp(-2ζωn) ──┘ Amp(-ωn²) ──┘\n", "```" ] }, { "cell_type": "code", "execution_count": 3, "id": "c3d4e5f6-0003-4000-8000-000000000005", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:12.056743Z", "iopub.status.busy": "2026-04-03T12:39:12.056515Z", "iopub.status.idle": "2026-04-03T12:39:12.584589Z", "shell.execute_reply": "2026-04-03T12:39:12.583520Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15:13:41 - INFO - LOGGING (log: True)\n", "15:13:41 - INFO - BLOCKS (total: 6, dynamic: 2, static: 4, eventful: 0)\n", "15:13:41 - INFO - GRAPH (nodes: 6, edges: 8, alg. depth: 3, loop depth: 0, runtime: 0.073ms)\n", "15:13:41 - INFO - STARTING -> TRANSIENT (Duration: 20.00s)\n", "15:13:41 - INFO - -------------------- 1% | 0.0s<0.4s | 5479.5 it/s\n", "15:13:41 - INFO - ####---------------- 20% | 0.1s<0.2s | 6912.9 it/s\n", "15:13:41 - INFO - ########------------ 40% | 0.1s<0.2s | 6455.0 it/s\n", "15:13:41 - INFO - ############-------- 60% | 0.2s<0.1s | 13251.3 it/s\n", "15:13:41 - INFO - ################---- 80% | 0.2s<0.0s | 13101.9 it/s\n", "15:13:41 - INFO - #################### 100% | 0.3s<--:-- | 10958.3 it/s\n", "15:13:41 - INFO - FINISHED -> TRANSIENT (total steps: 2000, successful: 2000, runtime: 277.51 ms)\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "omega_n = 2.0 # natural frequency [rad/s]\n", "zeta = 0.25 # damping ratio\n", "\n", "# Initial conditions: x0 = 1, v0 = 0\n", "int_v = Integrator(0.0) # integrates acceleration → velocity\n", "int_x = Integrator(1.0) # integrates velocity → position\n", "amp_d = Amplifier(-2 * zeta * omega_n) # damping term\n", "amp_k = Amplifier(-omega_n**2) # stiffness term\n", "adder = Adder()\n", "scope = Scope(labels=['position x', 'velocity v'])\n", "\n", "sim1 = Simulation(\n", " blocks=[int_v, int_x, amp_d, amp_k, adder, scope],\n", " connections=[\n", " Connection(int_v, int_x, amp_d), # v → x-dot and damping amp\n", " Connection(int_x, amp_k, scope[1]), # x → stiffness amp and scope ch-1\n", " Connection(amp_d, adder), # damping → adder ch-0\n", " Connection(amp_k, adder[1]), # stiffness → adder ch-1\n", " Connection(adder, int_v), # sum → x-ddot\n", " Connection(int_v, scope[0]), # v → scope ch-0 (reorder display)\n", " ],\n", " dt=0.01\n", ")\n", "\n", "sim1.run(20)\n", "\n", "t, scope_data = scope.read()\n", "x_data, v_data = scope_data[0], scope_data[1]\n", "\n", "fig, ax = plt.subplots(figsize=(10, 4))\n", "ax.plot(t, x_data, label='position $x$', linewidth=1.5)\n", "ax.plot(t, v_data, label='velocity $\\\\dot{x}$', linewidth=1.5, linestyle='--')\n", "ax.axhline(0, color='k', linewidth=0.7)\n", "ax.set_xlabel('Time [s]')\n", "ax.set_title(\n", " f'Damped Harmonic Oscillator '\n", " f'($\\\\omega_n={omega_n}$ rad/s, $\\\\zeta={zeta}$)'\n", ")\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.savefig('harmonic_oscillator.png', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c3d4e5f6-0003-4000-8000-000000000006", "metadata": {}, "source": [ "## 3. Example 2 – First-order system step response\n", "\n", "A first-order linear system driven by a unit step:\n", "\n", "$$\\tau \\dot{y} + y = u(t), \\quad u(t) = 1 \\text{ for } t \\ge 0$$\n", "\n", "The analytical solution is $y(t) = 1 - e^{-t/\\tau}$." ] }, { "cell_type": "code", "execution_count": 4, "id": "c3d4e5f6-0003-4000-8000-000000000007", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:12.586361Z", "iopub.status.busy": "2026-04-03T12:39:12.586183Z", "iopub.status.idle": "2026-04-03T12:39:13.007974Z", "shell.execute_reply": "2026-04-03T12:39:13.007126Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15:13:41 - INFO - LOGGING (log: True)\n", "15:13:41 - INFO - BLOCKS (total: 5, dynamic: 1, static: 4, eventful: 0)\n", "15:13:41 - INFO - GRAPH (nodes: 5, edges: 6, alg. depth: 3, loop depth: 0, runtime: 0.069ms)\n", "15:13:41 - INFO - STARTING -> TRANSIENT (Duration: 15.00s)\n", "15:13:41 - INFO - -------------------- 1% | 0.0s<0.2s | 7242.4 it/s\n", "15:13:41 - INFO - ####---------------- 20% | 0.0s<0.1s | 15352.0 it/s\n", "15:13:41 - INFO - ########------------ 40% | 0.0s<0.1s | 16822.7 it/s\n", "15:13:41 - INFO - ############-------- 60% | 0.1s<0.1s | 8802.3 it/s\n", "15:13:42 - INFO - ################---- 80% | 0.1s<0.0s | 16808.7 it/s\n", "15:13:42 - INFO - #################### 100% | 0.1s<--:-- | 16611.6 it/s\n", "15:13:42 - INFO - FINISHED -> TRANSIENT (total steps: 1501, successful: 1501, runtime: 140.00 ms)\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Max absolute error vs analytical: 1.54e-06\n" ] } ], "source": [ "tau = 2.0 # time constant [s]\n", "\n", "step_src = Constant(1.0) # unit step input\n", "adder2 = Adder('+-') # error = u - y\n", "amp_tau = Amplifier(1.0 / tau) # 1/τ\n", "integr = Integrator(0.0) # state y\n", "scope2 = Scope(labels=['y', 'u'])\n", "\n", "sim2 = Simulation(\n", " blocks=[step_src, adder2, amp_tau, integr, scope2],\n", " connections=[\n", " Connection(step_src, adder2, scope2[1]), # u → error adder and scope\n", " Connection(integr, adder2[1], scope2[0]), # y → error adder (neg) and scope\n", " Connection(adder2, amp_tau), # error → 1/τ\n", " Connection(amp_tau, integr), # ẏ = (u-y)/τ\n", " ],\n", " dt=0.01\n", ")\n", "\n", "sim2.run(15)\n", "\n", "t2, scope2_data = scope2.read()\n", "y2, u2 = scope2_data[0], scope2_data[1]\n", "y_analytic = 1 - np.exp(-np.array(t2) / tau)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 4))\n", "ax.plot(t2, u2, 'k--', linewidth=1.0, label='input $u$', alpha=0.5)\n", "ax.plot(t2, y2, color='steelblue', linewidth=2.0, label='PathSim output $y$')\n", "ax.plot(t2, y_analytic, color='orange', linewidth=1.5,\n", " linestyle=':', label='Analytic $1-e^{-t/\\\\tau}$')\n", "ax.axhline(1.0, color='grey', linewidth=0.7, linestyle='--')\n", "ax.set_xlabel('Time [s]')\n", "ax.set_title(f'First-Order Step Response ($\\\\tau = {tau}$ s)')\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.savefig('first_order_step.png', bbox_inches='tight')\n", "plt.show()\n", "\n", "max_err = np.max(np.abs(np.array(y2) - y_analytic))\n", "print(f\"Max absolute error vs analytical: {max_err:.2e}\")" ] }, { "cell_type": "markdown", "id": "c3d4e5f6-0003-4000-8000-000000000008", "metadata": {}, "source": [ "## 4. Example 3 – Sinusoidal source and phase portrait\n", "\n", "PathSim provides a `Source` block that wraps an arbitrary time-varying function." ] }, { "cell_type": "code", "execution_count": 5, "id": "c3d4e5f6-0003-4000-8000-000000000009", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:13.009659Z", "iopub.status.busy": "2026-04-03T12:39:13.009503Z", "iopub.status.idle": "2026-04-03T12:39:13.824833Z", "shell.execute_reply": "2026-04-03T12:39:13.824133Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15:13:42 - INFO - LOGGING (log: True)\n", "15:13:42 - INFO - BLOCKS (total: 5, dynamic: 2, static: 3, eventful: 0)\n", "15:13:42 - INFO - GRAPH (nodes: 5, edges: 8, alg. depth: 3, loop depth: 0, runtime: 0.054ms)\n", "15:13:42 - INFO - STARTING -> TRANSIENT (Duration: 40.00s)\n", "15:13:42 - INFO - -------------------- 1% | 0.0s<0.7s | 5449.2 it/s\n", "15:13:42 - INFO - ####---------------- 20% | 0.1s<0.5s | 6963.1 it/s\n", "15:13:42 - INFO - ########------------ 40% | 0.2s<0.2s | 13459.5 it/s\n", "15:13:42 - INFO - ############-------- 60% | 0.3s<0.1s | 13599.2 it/s\n", "15:13:42 - INFO - ################---- 80% | 0.4s<0.1s | 13061.9 it/s\n", "15:13:42 - INFO - #################### 100% | 0.5s<--:-- | 6963.2 it/s\n", "15:13:42 - INFO - FINISHED -> TRANSIENT (total steps: 4000, successful: 4000, runtime: 458.85 ms)\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import math\n", "\n", "# Van der Pol oscillator: x'' - μ(1-x²)x' + x = 0\n", "mu = 1.5\n", "\n", "int_vdp_v = Integrator(0.5) # ẋ, initial velocity\n", "int_vdp_x = Integrator(2.0) # x, initial position\n", "\n", "# The nonlinear damping term μ(1-x²)ẋ\n", "def vdp_nonlinear(x, v):\n", " return mu * (1 - x**2) * v\n", "\n", "nl_block = Function(vdp_nonlinear)\n", "adder_vdp = Adder('+-')\n", "scope_vdp = Scope(labels=['x', 'v'])\n", "\n", "sim3 = Simulation(\n", " blocks=[int_vdp_v, int_vdp_x, nl_block, adder_vdp, scope_vdp],\n", " connections=[\n", " Connection(int_vdp_v, int_vdp_x, nl_block[1], scope_vdp[1]), # v\n", " Connection(int_vdp_x, nl_block[0], scope_vdp[0]), # x\n", " Connection(nl_block, adder_vdp), # μ(1-x²)v\n", " Connection(int_vdp_x, adder_vdp[1]), # x (→ -x)\n", " Connection(adder_vdp, int_vdp_v), # ẍ\n", " ],\n", " dt=0.01\n", ")\n", "\n", "sim3.run(40)\n", "\n", "t3, vdp_data = scope_vdp.read()\n", "x3, v3 = vdp_data[0], vdp_data[1]\n", "x3, v3 = np.array(x3), np.array(v3)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "axes[0].plot(t3, x3, linewidth=1.2, label='$x$', color='steelblue')\n", "axes[0].plot(t3, v3, linewidth=1.2, label='$\\\\dot{x}$',\n", " color='darkorange', linestyle='--')\n", "axes[0].set_xlabel('Time [s]')\n", "axes[0].set_title(f'Van der Pol Oscillator ($\\\\mu={mu}$)')\n", "axes[0].legend()\n", "\n", "axes[1].plot(x3, v3, linewidth=1.0, color='mediumpurple')\n", "axes[1].plot(x3[0], v3[0], 'go', ms=8, label='start')\n", "axes[1].set_xlabel('$x$')\n", "axes[1].set_ylabel('$\\\\dot{x}$')\n", "axes[1].set_title('Phase Portrait')\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.savefig('van_der_pol.png', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c3d4e5f6-0003-4000-8000-000000000010", "metadata": {}, "source": [ "## 5. PathView\n", "\n", "[PathView](https://view.pathsim.org) is the graphical block-diagram editor for PathSim.\n", "You can:\n", "\n", "1. **Design** your block diagram visually in the browser.\n", "2. **Export** the diagram as a Python script.\n", "3. **Run** the exported script in this environment.\n", "\n", "The exported Python file uses the same `Simulation`, `Connection`, and `Block` API shown above." ] }, { "cell_type": "code", "execution_count": 6, "id": "c3d4e5f6-0003-4000-8000-000000000011", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:13.826771Z", "iopub.status.busy": "2026-04-03T12:39:13.826608Z", "iopub.status.idle": "2026-04-03T12:39:13.830444Z", "shell.execute_reply": "2026-04-03T12:39:13.829675Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import IFrame\n", "\n", "# Display PathView in an iframe (requires internet access)\n", "IFrame(src='https://view.pathsim.org', width='100%', height=500)" ] }, { "cell_type": "markdown", "id": "c3d4e5f6-0003-4000-8000-000000000012", "metadata": {}, "source": [ "## Summary\n", "\n", "You have seen three examples of PathSim block-diagram simulation:\n", "\n", "1. **Damped harmonic oscillator** – second-order ODE via two cascaded integrators.\n", "2. **First-order step response** – verified against an analytical solution.\n", "3. **Van der Pol oscillator** – nonlinear system with a custom `Function` block and phase portrait.\n", "\n", "**Next:** [04_pathsim_jsbsim_trim_elevator_doublet.ipynb](04_pathsim_jsbsim_trim_elevator_doublet.ipynb) – embedding JSBSim directly in a PathSim block diagram (trim + elevator doublet).\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }