This lecture covers the synthesis of a position controller using the Ziegler-Nichols method, focusing on the comparison between position and velocity control, calculation of controller parameters, open-loop transfer function, and practical implementation through hands-on sessions. The instructor demonstrates the application of Ziegler-Nichols' first method, identification of key parameters, and calculation of P, PI, PID controller parameters. Practical considerations like adjusting for different signal amplitudes and experimental validations with PID controllers are also discussed.