Manim for Control Systems

This repository contains Manim animations for visualizing control systems concepts. The animations are created using the Manim Community Edition.

Current Animations

1. step_response_scene.py - Visualizes the step response of a second-order system
2. sysmat.py - System matrix visualization and step response analysis
3. superpos1.py & superpos2.py - Superposition principle demonstrations
4. scene1.py - Control system introduction scene
5. homo1.py & homo2.py - Homogeneous response animations
6. pzmap.py - Pole-zero map visualization
7. stepres.py - Step response characteristics
8. two_x_equation.py - Mathematical equation animations
9. pi_demo.py - PI controller demonstration
10. content.py - Content organization and scene management

Features

• Step response characteristics:
  • Rise time (tr)
  • Peak time (tp)
  • Settling time (ts)
  • Percent overshoot (PO)
  • Settling bounds (±2%)
• System visualization:
  • Transfer functions
  • State-space representations
  • Pole-zero maps
• Control concepts:
  • Superposition principle
  • Homogeneous response
  • PI control
  • Mathematical foundations

Requirements

• Python 3.7+
• Manim Community Edition
• Control Systems Library
• NumPy

Installation

1. Clone the repository:

git clone https://github.com/Hmustf/manim4control.git

2. Install dependencies:

pip install -r requirements.txt

Usage

To render an animation:

manim -pqh <script_name>.py <scene_name>

Example:

manim -pqh step_response_scene.py StepResponseScene

Options:

• -p: Preview the animation after rendering
• -q: Medium quality
• -h: 1080p resolution

Project Structure

manim4control/
├── step_response_scene.py  # Step response visualization
├── sysmat.py              # System matrix analysis
├── superpos1.py           # Superposition demo part 1
├── superpos2.py           # Superposition demo part 2
├── scene1.py              # Introduction scene
├── homo1.py               # Homogeneous response part 1
├── homo2.py               # Homogeneous response part 2
├── pzmap.py              # Pole-zero mapping
├── stepres.py            # Step response analysis
├── two_x_equation.py     # Equation animations
├── pi_demo.py            # PI controller demo
└── content.py            # Content management

License

MIT License