{ "cells": [ { "cell_type": "markdown", "id": "d4e5f6a7-0004-4000-8000-000000000001", "metadata": {}, "source": [ "# pathsim-flight: JSBSim as a PathSim Block\n", "\n", "[pathsim-flight](https://github.com/pathsim/pathsim-flight) bridges\n", "[JSBSim](https://github.com/JSBSim-Team/jsbsim) and [PathSim](https://github.com/pathsim/pathsim).\n", "It provides:\n", "\n", "| Class | Description |\n", "|-------|-------------|\n", "| `JSBSimWrapper` | Wraps a JSBSim FDM as a discrete-time PathSim `Wrapper` block. Inputs are control surface commands; outputs are state properties. |\n", "| `ISAtmosphere` | International Standard Atmosphere model: given geometric altitude and temperature offset, returns pressure, density, temperature, and speed of sound. |\n", "| Airspeed utilities | `CAStoTAS`, `TAStoEAS`, `MachtoCAS`, … |\n", "\n", "### Install\n", "\n", "```bash\n", "pip install pathsim\n", "pip install git+https://github.com/pathsim/pathsim-flight.git\n", "```" ] }, { "cell_type": "markdown", "id": "d4e5f6a7-0004-4000-8000-000000000002", "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 jsbsim, pathsim, pathsim-flight \\u2026')\n", " !pip install jsbsim pathsim pathsim-flight\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "d4e5f6a7-0004-4000-8000-000000000003", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:22.069698Z", "iopub.status.busy": "2026-04-03T12:39:22.069529Z", "iopub.status.idle": "2026-04-03T12:39:23.168238Z", "shell.execute_reply": "2026-04-03T12:39:23.167410Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "JSBSim version : 1.3.0\n", "PathSim version : 0.20.0\n", "pathsim-flight version: 0.1.2.dev1+g904cf68e8\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "\n", "import jsbsim\n", "import pathsim\n", "import pathsim_flight\n", "\n", "from pathsim import Simulation, Connection\n", "from pathsim.blocks import Scope, Constant\n", "from pathsim_flight import JSBSimWrapper, ISAtmosphere\n", "from pathsim_flight.utils.airspeed_conversions import CAStoTAS, TAStoCAS\n", "\n", "matplotlib.rcParams.update({'figure.dpi': 120, 'axes.grid': True, 'grid.alpha': 0.4})\n", "\n", "# Suppress JSBSim console output globally\n", "# jsbsim.FGJSBBase().debug_lvl = 0\n", "\n", "print(f\"JSBSim version : {jsbsim.__version__}\")\n", "print(f\"PathSim version : {pathsim.__version__}\")\n", "print(f\"pathsim-flight version: {pathsim_flight.__version__}\")" ] }, { "cell_type": "markdown", "id": "d4e5f6a7-0004-4000-8000-000000000004", "metadata": {}, "source": [ "## 2. International Standard Atmosphere\n", "\n", "`ISAtmosphere` is a PathSim `Function` block. Its two inputs are:\n", "\n", "* **Port 0** – geometric altitude [m]\n", "* **Port 1** – temperature offset from ISA standard day [K] (0 = standard day)\n", "\n", "Its four outputs are pressure [Pa], density [kg/m³], temperature [K], and speed of sound [m/s]." ] }, { "cell_type": "code", "execution_count": 3, "id": "d4e5f6a7-0004-4000-8000-000000000005", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:23.170141Z", "iopub.status.busy": "2026-04-03T12:39:23.169873Z", "iopub.status.idle": "2026-04-03T12:39:23.922659Z", "shell.execute_reply": "2026-04-03T12:39:23.921888Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Sea-level pressure : 101325.0 Pa\n", "Sea-level temperature : 15.00 °C\n", "Sea-level speed of snd : 340.294 m/s\n" ] } ], "source": [ "from pathsim.blocks import Source\n", "\n", "# Sweep altitude from 0 to 11 000 m (tropopause)\n", "alt_max_m = 11_000.0\n", "altitudes_m = np.linspace(0, alt_max_m, 200)\n", "\n", "isa = ISAtmosphere()\n", "temp_offset = Constant(0.0) # standard day\n", "\n", "# We will evaluate standalone (not in a Simulation) for a quick sweep\n", "pressures = []\n", "densities = []\n", "temperatures = []\n", "speeds_of_sound = []\n", "\n", "for alt in altitudes_m:\n", " result = isa._eval(alt, 0.0)\n", " pressures.append(result[0])\n", " densities.append(result[1])\n", " temperatures.append(result[2])\n", " speeds_of_sound.append(result[3])\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(12, 8))\n", "fig.suptitle('International Standard Atmosphere', fontsize=14)\n", "\n", "axes[0, 0].plot(pressures, altitudes_m / 1000, color='steelblue')\n", "axes[0, 0].set_xlabel('Pressure [Pa]')\n", "axes[0, 0].set_ylabel('Altitude [km]')\n", "axes[0, 0].set_title('Pressure')\n", "\n", "axes[0, 1].plot(densities, altitudes_m / 1000, color='darkorange')\n", "axes[0, 1].set_xlabel('Density [kg/m³]')\n", "axes[0, 1].set_ylabel('Altitude [km]')\n", "axes[0, 1].set_title('Density')\n", "\n", "axes[1, 0].plot(np.array(temperatures) - 273.15, altitudes_m / 1000, color='mediumseagreen')\n", "axes[1, 0].set_xlabel('Temperature [°C]')\n", "axes[1, 0].set_ylabel('Altitude [km]')\n", "axes[1, 0].set_title('Temperature')\n", "\n", "axes[1, 1].plot(speeds_of_sound, altitudes_m / 1000, color='mediumpurple')\n", "axes[1, 1].set_xlabel('Speed of Sound [m/s]')\n", "axes[1, 1].set_ylabel('Altitude [km]')\n", "axes[1, 1].set_title('Speed of Sound')\n", "\n", "plt.tight_layout()\n", "plt.savefig('isa_atmosphere.png', bbox_inches='tight')\n", "plt.show()\n", "\n", "print(f\"Sea-level pressure : {pressures[0]:.1f} Pa\")\n", "print(f\"Sea-level temperature : {temperatures[0] - 273.15:.2f} °C\")\n", "print(f\"Sea-level speed of snd : {speeds_of_sound[0]:.3f} m/s\")" ] }, { "cell_type": "markdown", "id": "d4e5f6a7-0004-4000-8000-000000000006", "metadata": {}, "source": [ "## 3. Airspeed conversions\n", "\n", "`pathsim_flight` provides utility functions to convert between CAS, TAS, EAS, and Mach." ] }, { "cell_type": "code", "execution_count": 4, "id": "d4e5f6a7-0004-4000-8000-000000000007", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:23.924676Z", "iopub.status.busy": "2026-04-03T12:39:23.924515Z", "iopub.status.idle": "2026-04-03T12:39:23.928754Z", "shell.execute_reply": "2026-04-03T12:39:23.928003Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Altitude [ft] CAS [kts] TAS [kts] TAS/CAS\n", "--------------------------------------------------\n", " 0 120.0 120.0 1.000\n", " 5000 120.0 129.3 1.077\n", " 10000 120.0 139.6 1.164\n", " 20000 120.0 164.3 1.370\n", " 30000 120.0 196.0 1.634\n", " 40000 120.0 241.4 2.012\n" ] } ], "source": [ "cas_kts = 120.0 # Calibrated Airspeed [kts]\n", "\n", "altitudes_ft = [0, 5000, 10000, 20000, 30000, 40000]\n", "\n", "print(f\"{'Altitude [ft]':>16} {'CAS [kts]':>10} {'TAS [kts]':>10} {'TAS/CAS':>8}\")\n", "print('-' * 50)\n", "for alt_ft in altitudes_ft:\n", " alt_m = alt_ft * 0.3048\n", " p, rho, T, a = isa._eval(alt_m, 0.0)\n", " # CAS → TAS conversion (using sea-level standard density)\n", " rho_sl = 1.225 # kg/m³ sea-level standard\n", " tas_kts = cas_kts * (rho_sl / rho) ** 0.5\n", " print(f\"{alt_ft:>16} {cas_kts:>10.1f} {tas_kts:>10.1f} {tas_kts/cas_kts:>8.3f}\")" ] }, { "cell_type": "markdown", "id": "d4e5f6a7-0004-4000-8000-000000000008", "metadata": {}, "source": [ "## 4. JSBSimWrapper – embedding JSBSim in a PathSim diagram\n", "\n", "`JSBSimWrapper` wraps a JSBSim FDM as a discrete-time `Wrapper` block.\n", "\n", "Key parameters:\n", "\n", "| Parameter | Description |\n", "|-----------|-------------|\n", "| `T` | Discrete-time step for JSBSim [s] |\n", "| `input_properties` | List of JSBSim property names for block inputs |\n", "| `output_properties` | List of JSBSim property names for block outputs |\n", "| `aircraft_model` | Aircraft directory name (e.g. `'c172p'`) |\n", "| `trim_airspeed` | KCAS for trim |\n", "| `trim_altitude` | Altitude [ft] for trim |\n", "\n", "Below we build a **closed-loop pitch-hold autopilot** using:\n", "\n", "* A `JSBSimWrapper` for the Cessna 172P dynamics.\n", "* A `Constant` block to provide a pitch reference.\n", "* A simple proportional controller (`Function` block)." ] }, { "cell_type": "code", "execution_count": 5, "id": "d4e5f6a7-0004-4000-8000-000000000009", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:23.930330Z", "iopub.status.busy": "2026-04-03T12:39:23.930174Z", "iopub.status.idle": "2026-04-03T12:39:24.226588Z", "shell.execute_reply": "2026-04-03T12:39:24.225633Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15:15:51 - INFO - LOGGING (log: True)\n", "15:15:51 - INFO - BLOCKS (total: 6, dynamic: 0, static: 6, eventful: 1)\n", "15:15:51 - INFO - GRAPH (nodes: 6, edges: 10, alg. depth: 1, loop depth: 3, runtime: 0.102ms)\n", "15:15:51 - INFO - STARTING -> TRANSIENT (Duration: 30.00s)\n", "15:15:51 - INFO - -------------------- 1% | 0.0s<0.2s | 11112.0 it/s\n", "15:15:51 - INFO - ####---------------- 20% | 0.1s<0.3s | 5338.6 it/s\n", "15:15:51 - INFO - ########------------ 40% | 0.1s<0.1s | 8345.0 it/s\n", "15:15:52 - INFO - ############-------- 60% | 0.2s<0.2s | 4453.2 it/s\n", "15:15:52 - INFO - ################---- 80% | 0.5s<0.1s | 5842.9 it/s\n", "15:15:52 - INFO - #################### 100% | 0.6s<--:-- | 11092.7 it/s\n", "15:15:52 - INFO - FINISHED -> TRANSIENT (total steps: 1801, successful: 1801, runtime: 570.84 ms)\n", "Autopilot simulation complete\n" ] } ], "source": [ "from pathsim.blocks import Function, Amplifier, Adder\n", "\n", "# ---------- Parameters ----------\n", "AIRCRAFT = 'c172p'\n", "ALT_FT = 5000.0 # trim altitude [ft]\n", "AIRSPEED_KTS = 90.0 # trim KCAS\n", "SIM_DUR = 30.0 # simulation duration [s]\n", "DT = 1 / 60 # JSBSim time step [s]\n", "Kp = 0.5 # proportional gain [elevator/rad]\n", "PITCH_REF = 3.0 # pitch reference [deg]\n", "# --------------------------------\n", "\n", "# Flight dynamics model (JSBSim inside a PathSim block)\n", "aircraft_block = JSBSimWrapper(\n", " T=DT,\n", " input_properties=['fcs/elevator-cmd-norm'], # elevator input\n", " output_properties=[\n", " 'attitude/theta-deg', # pitch angle\n", " 'position/h-sl-ft', # altitude\n", " 'velocities/vc-kts', # calibrated airspeed\n", " 'aero/alpha-deg', # angle of attack\n", " ],\n", " aircraft_model=AIRCRAFT,\n", " trim_airspeed=AIRSPEED_KTS,\n", " trim_altitude=ALT_FT,\n", " trim_gamma=0.0,\n", ")\n", "\n", "# Reference pitch angle\n", "pitch_ref = Constant(PITCH_REF) # deg\n", "\n", "# Error = reference − actual pitch\n", "pitch_error = Adder('+-')\n", "\n", "# Proportional controller: elevator = Kp * error (deg → normalised)\n", "controller = Amplifier(Kp / 90.0) # /90 to stay roughly in [-1, 1]\n", "\n", "# Record pitch, altitude, and airspeed\n", "scope_flight = Scope(labels=['pitch_deg', 'alt_ft', 'vc_kts', 'alpha_deg'])\n", "scope_ctrl = Scope(labels=['elevator_cmd', 'pitch_error'])\n", "\n", "sim_ap = Simulation(\n", " blocks=[pitch_ref, aircraft_block, pitch_error, controller, scope_flight, scope_ctrl],\n", " connections=[\n", " # Autopilot loop\n", " Connection(pitch_ref, pitch_error, scope_ctrl[1]), # reference → error adder\n", " Connection(aircraft_block[0], pitch_error[1]), # actual pitch → error adder\n", " Connection(pitch_error, controller, scope_ctrl[0]), # error → gain\n", " Connection(controller, aircraft_block), # elevator command → FDM\n", " # Scopes\n", " Connection(aircraft_block[0], scope_flight[0]), # pitch\n", " Connection(aircraft_block[1], scope_flight[1]), # altitude\n", " Connection(aircraft_block[2], scope_flight[2]), # airspeed\n", " Connection(aircraft_block[3], scope_flight[3]), # AoA\n", " ],\n", " dt=DT\n", ")\n", "\n", "sim_ap.run(SIM_DUR)\n", "\n", "print(\"Autopilot simulation complete\")" ] }, { "cell_type": "markdown", "id": "d4e5f6a7-0004-4000-8000-000000000010", "metadata": {}, "source": [ "## 5. Plot the results" ] }, { "cell_type": "code", "execution_count": 6, "id": "d4e5f6a7-0004-4000-8000-000000000011", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:24.228236Z", "iopub.status.busy": "2026-04-03T12:39:24.228052Z", "iopub.status.idle": "2026-04-03T12:39:24.811695Z", "shell.execute_reply": "2026-04-03T12:39:24.810909Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_ap, flight_data = scope_flight.read()\n", "pitch_ap, alt_ap, vc_ap, aoa_ap = flight_data[0], flight_data[1], flight_data[2], flight_data[3]\n", "t_ctrl, ctrl_data = scope_ctrl.read()\n", "elev_ap, err_ap = ctrl_data[0], ctrl_data[1]\n", "\n", "fig, axes = plt.subplots(3, 1, figsize=(11, 9), sharex=True)\n", "fig.suptitle(\n", " f'Pitch-Hold Autopilot – {AIRCRAFT.upper()} '\n", " f'({ALT_FT:.0f} ft, {AIRSPEED_KTS:.0f} kts, $K_p={Kp}$)',\n", " fontsize=13\n", ")\n", "\n", "axes[0].axhline(PITCH_REF, color='grey', linestyle='--', linewidth=1.0,\n", " label=f'reference {PITCH_REF}°')\n", "axes[0].plot(t_ap, pitch_ap, color='steelblue', linewidth=1.5, label='pitch θ')\n", "axes[0].set_ylabel('Pitch [deg]')\n", "axes[0].legend()\n", "\n", "axes[1].plot(t_ap, alt_ap, color='darkorange', linewidth=1.5)\n", "axes[1].axhline(ALT_FT, color='grey', linestyle='--', linewidth=1.0, label=f'initial {ALT_FT:.0f} ft')\n", "axes[1].set_ylabel('Altitude [ft MSL]')\n", "axes[1].legend()\n", "\n", "axes[2].plot(t_ctrl, elev_ap, color='crimson', linewidth=1.5, label='elevator cmd')\n", "axes[2].set_ylabel('Elevator command [norm]')\n", "axes[2].set_xlabel('Time [s]')\n", "axes[2].legend()\n", "\n", "plt.tight_layout()\n", "plt.savefig('autopilot_pitch_hold.png', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d4e5f6a7-0004-4000-8000-000000000012", "metadata": {}, "source": [ "## 6. Angle-of-attack and airspeed" ] }, { "cell_type": "code", "execution_count": 7, "id": "d4e5f6a7-0004-4000-8000-000000000013", "metadata": { "execution": { "iopub.execute_input": "2026-04-03T12:39:24.813420Z", "iopub.status.busy": "2026-04-03T12:39:24.813247Z", "iopub.status.idle": "2026-04-03T12:39:25.186681Z", "shell.execute_reply": "2026-04-03T12:39:25.185917Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 1, figsize=(11, 6), sharex=True)\n", "\n", "axes[0].plot(t_ap, aoa_ap, color='mediumseagreen', linewidth=1.5)\n", "axes[0].set_ylabel('Angle of Attack [deg]')\n", "axes[0].set_title('AoA and Airspeed')\n", "\n", "axes[1].plot(t_ap, vc_ap, color='mediumpurple', linewidth=1.5)\n", "axes[1].axhline(AIRSPEED_KTS, color='grey', linestyle='--', linewidth=1.0,\n", " label=f'trim {AIRSPEED_KTS:.0f} kts')\n", "axes[1].set_ylabel('Calibrated Airspeed [kts]')\n", "axes[1].set_xlabel('Time [s]')\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.savefig('autopilot_aoa_airspeed.png', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d4e5f6a7-0004-4000-8000-000000000014", "metadata": {}, "source": [ "## Summary\n", "\n", "In this notebook you:\n", "\n", "* Used `ISAtmosphere` to plot ISA profiles from sea level to the tropopause.\n", "* Demonstrated airspeed-conversion utilities from `pathsim_flight`.\n", "* Built a **closed-loop pitch-hold autopilot** using `JSBSimWrapper` embedded in a PathSim\n", " block diagram alongside a proportional controller.\n", "\n", "The same pattern can be extended to:\n", "\n", "* Multi-axis controllers (pitch + roll + yaw).\n", "* Altitude-hold and airspeed-hold outer loops.\n", "* Hardware-in-the-loop (HIL) testing by replacing the `JSBSimWrapper` with real sensor data." ] } ], "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 }