1. Consider the system described by a state model characterized by the following parameters: 1 A = [03 -4] B = [], C = [1 0] a) Design a reduced-order observer with a pole at -6. b) Find a feedback gain such that the closed-loop poles are placed at -2 and -4. c) The feedback gain, obtained in part (b) is implemented with the composite system consisting of the original system and the reduced-order observer designed in part (a). Find the state- space model of the closed-loop composite system. d) Compute the poles of the closed-loop composite system obtained in part (c).