2. (25pts) Given a continuous control system in the following figure, the plant G(8) the controller C(8) 41.7(8 +4.41) 8 + 18.4 4 and 8(8 +2) 41.7(5 +4.41) 5 + 18.4 4 5(x + 2) a). Sketch the Bode magnitude plots of the plant G(s), the controller C(s), and the controlled plant G(8)C(s). b). What kind of controller C(s) is ? For a sampling period T, obtained the discretized controller in Z-transform by applying the Generalized Bilinear Transformation and derive the Euler and Tustin discretization as special cases