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This lecture covers the design of a controller to meet specific requirements by shaping the response of the closed-loop transfer functions, focusing on sensitivity and complementary sensitivity functions, frequency response, bandwidth, and PID coefficients. It explains the relationship between time-domain behaviors, robustness margins, and the impact of noise and reference on the system's output. The lecture also discusses the tradeoff between tracking and noise rejection, the resonance peak, and the closed-loop bandwidth approximating the crossover frequency.