1 (36 pts) Consider a system that includes a compensator, shown in the figure below.Gc(s) G(s) = 10 s(s + 1) u(t)yD (t) e(t) y(t) y(t)+ Figure 1: System block diagram of problem 1. The uncompensated plant transfer function Gpsq and the compensator transfer function Gcpsq are given as: Gpsq 10 sps 1q (2) Gcpsq s 3 s 9 (3) Let us examine the compensated and uncompensated system open-loop transfer functions (OLTF) using Bode and Nyquist plots. The uncompensated system OLTF refers to Gpsq and the com- pensated OLTF refers to Gcpsq Gpsq. (a) (10 pts) Generate Bode plots (magnitude and phase angle) for the uncompensated OLTF, and make sure the following details are included: (1) Number of asymptotes in magnitude plots (2) Corner frequencies of asymptotes in magnitude plots (3) Slopes of asymptotes in magnitude plots (4) Compare phase angles of sections that are segmented by corner frequencies (b) (10 pts) Generate Bode plots (magnitude and phase angle) for the compensated OLTF, and make sure the following details are included: (1) Number of asymptotes in magnitude plots (2) Corner frequencies of asymptotes in magnitude plots (3) Slopes of asymptotes in magnitude plots 2 of 6