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

1. Use Root Locus method to design lead compensator controller

2. Use Simulink to implement and test controller

This section focuses on compensator design, with emphasis on lead compensators that reshape closed-loop dynamics to meet transient-response targets. You will use the root locus method to design a lead compensator controller, choosing compensator pole and zero locations and the feedback gain so the closed-loop poles move to positions that deliver the behavior you want. The section begins with a lead compensator example, then walks through multiple design iterations so you can see how small changes in a compensator translate into meaningful changes in response. You will connect each design choice to measurable outcomes, including how quickly the system responds, how much it overshoots, and whether the response remains well-behaved as parameters vary. After you complete the hand analysis and root locus design steps, you will use Simulink to implement and test the controller, which lets you verify that your compensator design matches time-domain simulation results. The section closes with results and discussion, plus lecture code, so you can reproduce the workflow and apply the same approach to new plants and new performance goals.