By the end of this section, you should be able to

1. Use Root Locus method to design PID controllers

2. Use Simulink to implement and test PID controllers

3. Conduct simple controller design and validation from beginning to end

This section focuses on PID control (proportional, integral, and derivative control) as a practical, end-to-end controller design workflow. You will use the root locus method to design a PID controller that meets performance goals, then you will implement and test that controller in Simulink so your analysis connects directly to simulation and validation. The materials are organized around a general design process and an extended example that walks through controller selection, choosing zeros, and iterating through multiple designs so you can see how each choice changes closed-loop behavior. As you work through the sequence, you will build skill in making design decisions, not just completing algebra. You will practice selecting a controller structure, shaping the root locus with well-placed zeros, and comparing designs to justify which controller is best for the response you want. The comparison and discussion portion also points you toward common tuning approaches for context, and the lecture code gives you a starting point for repeating the workflow on new plants. Use the table of contents below to jump between the design process, the extended example steps, the two design iterations, and the supporting code as you work toward reliable PID controller design and verification.