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milanofthemilanofthe
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updated examples to fit new grid
1 parent 85329b3 commit 82e7a9f

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-1023
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‎static/examples/bouncing-ball-dark.svg‎

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‎static/examples/bouncing-ball-light.svg‎

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‎static/examples/bouncing-ball.json‎

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{
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"version": "1.0.0",
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"metadata": {
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"created": "2026-01-14T10:21:54.899Z",
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"modified": "2026-01-14T10:21:54.899Z",
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"name": "Bouncing Ball",
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"description": "Gravity, Collisions and discrete Events"
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"created": "2026-01-19T16:03:09.415Z",
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"modified": "2026-01-19T16:03:09.415Z",
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"name": "bouncing-ball"
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},
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"graph": {
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"nodes": [
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"type": "Integrator",
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"name": "pos",
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"position": {
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"x": 705,
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"y": 255
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"x": 750,
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"y": 250
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},
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"inputs": [
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{
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"type": "Integrator",
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"name": "vel",
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"position": {
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"x": 480,
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"y": 255
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"x": 530,
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"y": 250
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},
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"inputs": [
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{
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"type": "Scope",
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"name": "x(t)",
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"position": {
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"x": 825,
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"y": 330
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"x": 860,
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"y": 340
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},
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"inputs": [
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{
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"type": "Constant",
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"name": "gravity",
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"position": {
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"x": 390,
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"y": 150
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"x": 430,
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"y": 160
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},
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"inputs": [],
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"outputs": [
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"type": "Scope",
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"name": "v(t)",
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"position": {
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"x": 585,
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"y": 330
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"x": 620,
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"y": 340
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},
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"inputs": [
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{
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"type": "Function",
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"name": "total energy",
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"position": {
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"x": 705,
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"y": 150
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"x": 750,
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"y": 160
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},
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"inputs": [
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{
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"type": "Scope",
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"name": "E(t)",
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"position": {
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"x": 1065,
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"y": 330
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"x": 1100,
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"y": 340
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},
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"inputs": [
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{
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{
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"id": "deeecd86-71ac-4a13-a289-c64c946e667c",
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"position": {
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"x": -45,
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"y": 90
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"x": -50,
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"y": 60
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},
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"content": "# Bouncing Ball Physics\n\nThis is an example of a hybrid system with continuous dynamics (free falling ball) and discrete events (bounces).\n\nIntegrating the gravitational acceleration gives the ball velocity in free fall:\n\n$$ v(t) = - \\int_0^t g \\, d\\tau $$\n\nAnd the position is the integrated velocity:\n\n$$ x(t) = \\int_0^t v(\\tau) \\, d\\tau $$\n\nWe use an event node to define the discrete dynamics of the ball hitting the ground. Whenever the position crosses zero\n\n$$ |x(t)| = 0 $$\n\nthe sign of the velocity is flipped and a coefficient of restitution ($b$) is applied to model the energy loss from the deformation of the ball:\n\n$$ y(t) \\leftarrow -b \\, y(t) $$\n\nWhen the total energy drops below a certain threshold we consider that a Zeno state and stop the simulation.",
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"width": 425,
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"type": "pathsim.events.ZeroCrossing",
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"name": "Bounce",
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"position": {
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"x": 945,
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"y": 225
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"x": 980,
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"y": 260
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},
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"params": {
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"func_evt": "bounce_detect",
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"name": "Zeno",
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"position": {
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"x": 1200,
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"y": 225
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"y": 260
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},
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"params": {
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"func_evt": "zeno_detect",

‎static/examples/cascade-subsystem-dark.svg‎

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‎static/examples/cascade-subsystem-light.svg‎

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‎static/examples/cascade-subsystem.json‎

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{
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"version": "1.0.0",
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"metadata": {
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"created": "2026-01-14T10:23:07.377Z",
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"modified": "2026-01-14T10:23:07.377Z",
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"name": "Cascade PI Controler",
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"description": "Cascade Control of a Plant modeled as nested Subsystems"
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"created": "2026-01-19T16:01:11.207Z",
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"modified": "2026-01-19T16:01:11.207Z",
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"name": "cascade-subsystem"
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},
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"graph": {
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"nodes": [
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"type": "StepSource",
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"name": "Setpoint",
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"position": {
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"x": 735,
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"y": 435
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"x": 720,
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"y": 440
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},
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"inputs": [],
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"outputs": [
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"type": "PID",
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"name": "PI-1",
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"position": {
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"x": 1065,
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"x": 1090,
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"y": 330
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},
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"inputs": [
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"type": "Adder",
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"name": "Error-1",
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"position": {
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"x": 915,
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"x": 910,
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"y": 330
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},
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"inputs": [
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"type": "Adder",
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"name": "Error-2",
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"position": {
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"x": 1245,
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"y": 330
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"x": 1240,
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"y": 340
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},
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"inputs": [
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{
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"type": "PID",
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"name": "PI-2",
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"position": {
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"x": 1395,
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"y": 330
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"x": 1410,
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"y": 340
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},
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"inputs": [
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{
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"type": "Subsystem",
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"name": "Plant",
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"position": {
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"x": 1320,
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"y": 405
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"x": 1330,
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"y": 410
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},
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"inputs": [
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{
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"type": "Interface",
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"name": "Subsystem",
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"position": {
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"x": -285,
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"y": -360
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"x": -250,
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"y": -320
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},
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"inputs": [],
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"outputs": [],
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"type": "TransferFunctionZPG",
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"name": "TF-2",
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"position": {
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"x": -420,
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"y": -105
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"x": -410,
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"y": -120
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},
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"inputs": [
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{
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"type": "TransferFunctionZPG",
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"name": "TF-1",
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"position": {
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"x": -420,
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"y": -285
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"x": -410,
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"y": -280
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},
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"inputs": [
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{
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"type": "Subsystem",
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"name": "Disturbance",
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"position": {
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"x": -405,
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"y": -195
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"x": -410,
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"y": -200
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},
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"inputs": [
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{
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"type": "Interface",
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"name": "Subsystem",
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"position": {
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"x": 105,
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"y": 60
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"x": 270,
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"y": 0
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},
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"inputs": [],
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"outputs": [],
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"params": {}
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"params": {
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"_rotation": 2
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}
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},
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{
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"id": "09e7895b-f3f5-448a-a5c7-14f8c9225db4",
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"type": "Adder",
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"name": "Combiner",
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"position": {
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"x": 240,
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"y": 120
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"x": 270,
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"y": 70
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},
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"inputs": [
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}
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],
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"params": {
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"_rotation": 1
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"_rotation": 0
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}
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},
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{
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"id": "be9bfd71-6059-4d41-be9d-faa2a73e9f61",
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"type": "WhiteNoise",
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"name": "Noise",
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"position": {
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"x": 105,
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"y": -15
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"x": 120,
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"y": 80
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},
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"inputs": [],
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"outputs": [
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],
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"params": {
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"spectral_density": "noise_psd",
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"sampling_rate": "0.5",
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"_rotation": 0
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}
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},
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"type": "Scope",
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"name": "Disturbed Signal",
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"position": {
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"x": 405,
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"y": 120
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"x": 450,
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"y": 70
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},
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"inputs": [
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{
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{
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"id": "c3103ad7-22d5-455d-8078-579809c95ad6",
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"position": {
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"x": 345,
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"y": -15
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"x": 360,
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"y": -90
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},
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"content": "# Disturbance\n\nThe inline disturbance adds a white noise signal on top of the input signal.",
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"width": 155,
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{
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"id": "4dc50a79-58b7-4cbd-b049-110bfbbd117e",
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"position": {
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"x": -600,
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"y": -255
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"x": -180,
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"y": -280
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},
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"content": "# Plant\n\nThe plant contains two transfer functions and an additive inline disturbance...\n\n... which is modeled by a subsystem too.",
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"width": 140,
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"type": "Scope",
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"name": "Plant vs Setpoint",
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"position": {
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"x": 1095,
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"y": 510
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"x": 1020,
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"y": 500
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},
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"inputs": [
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{
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"type": "Scope",
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"name": "Err-1 and PI-1",
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"position": {
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"x": 1005,
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"x": 1010,
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"y": 240
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},
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"inputs": [
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"type": "Scope",
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"name": "Err-2 and PI-2",
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"position": {
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"x": 1335,
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"x": 1340,
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"y": 240
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},
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"inputs": [
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{
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"id": "416e7281-7496-4b94-8c9f-ab802029d5e9",
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"position": {
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"x": 720,
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"y": 225
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"x": 690,
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"y": 220
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},
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"content": "# Cascade PI Controler\n\nThis example is a cascade controler. The plant is modeled as a **Subsystem**. Double click to enter.",
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"width": 230,

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