ControlX — Control Systems Simulator

Interactive Web-Based Control Systems Simulator
Design • Analyze • Tune — All in One Place

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🚀 Overview

ControlX is an interactive web application designed for control systems students and engineers. It provides real-time simulation and visualization of classical control concepts directly in the browser.

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✨ Features

• 🎯 Open Loop System Visualization
• ⚙️ Closed Loop PID Control
• 📈 Step Response Analysis
• 📊 Bode Plot (Magnitude & Phase)
• 🔁 Nyquist Plot
• 🌿 Root Locus (based on polynomial root calculation)
• 🤖 Auto PID Tuning (Ziegler–Nichols Method)
• 🧮 Dynamic Transfer Function Rendering (math form)
• 🎛️ Adjustable Second-Order System (ζ, ωₙ)

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🧠 Core Concepts Implemented

• Numerical integration (Runge–Kutta method)
• Polynomial root solving (complex domain)
• Frequency response analysis
• Classical PID control theory
• Root Locus formulation

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🖥️ Usage

1. Open the application:

index.html

2. Select Mode:

• System Visualizer (Open Loop) → analyze the raw system
• PID Tuning (Closed Loop) → apply controller

3. Enter system transfer function:

Numerator: 1
Denominator: 1,3,2

4. Or generate a second-order system:

• Set ζ (damping ratio)
• Set ωₙ (natural frequency)
• Click Apply 2nd Order

5. Run analysis and switch between:

• Step
• Bode
• Nyquist
• Root Locus

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⚠️ Important Notes

• Ziegler–Nichols auto-tuning works only for systems with a valid ultimate gain (Ku)
• Not all systems support ZN tuning (especially stable low-order systems)
• Transfer functions must be entered in descending powers format:

1,3,2   →  s² + 3s + 2

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🧪 Example

Second-order system:

ζ = 0.5
ωₙ = 2

Generated transfer function:

$$G(s) = \frac{4}{s^2 + 2s + 4}$$

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🛠️ Tech Stack

• HTML5
• CSS3
• JavaScript (Vanilla)
• Plotly.js (for visualization)
• Custom-built math engine

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📌 Future Improvements

• Open vs Closed Loop comparison view
• Export plots (PNG / PDF)
• Real-time sliders for parameters
• Save / load system configurations
• Multi-language support

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👨‍💻 Developer

Mohamad R. Omran 📧 [email protected] 🌐 Mohmad.net

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⭐ Support

If you found this project useful:

• ⭐ Star the repository
• 🔁 Share it with others
• 💡 Suggest improvements

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