Simulate First & Second Order PID Closed-Loop Systems in Scilab Xcos | Tutorial

How to Simulate First and Second Order PID Closed-Loop Systems in Scilab Xcos + Editing and Exporting Figures

If you’re an engineering student or a control systems enthusiast looking for a free and powerful tool to simulate PID controllers, Scilab Xcos is an excellent choice. In this post, I’ll walk you through a step-by-step guide on how to simulate first and second order PID closed-loop systems using Scilab’s Xcos toolbox. Additionally, you’ll learn how to edit, copy, and export the simulation figures for your reports or presentations.

What is Scilab and Xcos?

Scilab is an open-source software similar to MATLAB, widely used for numerical computations. Xcos is Scilab’s graphical editor to model and simulate dynamic systems using block diagrams, making it a fantastic environment for control system simulation.

What You Will Learn in This Tutorial:

• How to set up and simulate first-order and second-order systems with PID controllers
• How to run closed-loop simulations in Xcos
• Techniques to edit simulation output figures to improve clarity and presentation
• How to copy and export figures from Scilab for external use

Step 1: Setting up the PID Controller in Xcos

Open Scilab and launch the Xcos toolbox. You’ll find blocks for PID controllers under the ‘Continuous Time’ palette.

1. Drag and drop the PID block into your workspace.
2. Connect it with your system blocks representing first or second order dynamics (like transfer function blocks).
3. Set the PID parameters (Proportional, Integral, Derivative gains) as per your control design.

Step 2: Simulating First and Second Order Systems

For a first-order system, use a simple transfer function with one pole, e.g., 1/(s+1).

For a second-order system, set up a transfer function with two poles, e.g., 1/(s^2 + 2ζω_ns + ω_n^2).

Connect these systems to your PID controller in a closed-loop configuration and run the simulation.

Step 3: Running Closed-Loop Simulation

Once everything is connected, run the simulation in Xcos. You will see output plots of your system’s response over time.

Step 4: Editing the Figures

Scilab allows you to customize your plots. You can add titles, axis labels, gridlines, and change colors or line styles to make your figures clearer.

Step 5: Copying and Exporting Figures

• Use the copy figure option to paste it into other software (like Word or PowerPoint).
• Export the figure directly as image files (.png, .jpg) or PDFs for high-quality prints.

Why Use Scilab Xcos for PID Simulation?

• Free and Open Source: No costly licenses required
• User-Friendly Graphical Interface: Easy drag-and-drop block diagram modeling
• Powerful Simulation Capabilities: Suitable for both beginners and advanced users
• Great for Control Systems Education: Perfect for academic projects and research

Final Thoughts

Simulating PID controllers using Scilab Xcos is a practical skill for anyone diving into control systems. The ability to edit and export your figures means you can easily create professional reports or presentations without additional software.

If you found this tutorial helpful, please watch the video