This lecture covers lead and lag compensators, which are used to improve margins and steady-state response in control systems. It explains how lead compensators add phase at the crossover frequency, while lag compensators add gain at low frequency. The lecture also discusses the combination of lead and lag filters, PID controllers, and PID lead/lag filters. It includes examples of designing PID controllers for spacecraft stabilization, focusing on achieving zero steady-state error, a phase margin of 60°, and high bandwidth.