Consider the following transfer function of a linear control system Y(s) 1 U(s) (s+1)(s²+0.7s+2) (a) Determine the state feedback gain matrix that places the closed system poles at s= -32, -3.234±j3.3. (b) Design a full order observer which produces a set of desired closed loop poles at s= -16, -16.15 + j16.5. (c) Assume x, is measurable, design a reduced order observer with desired closed loop poles at -16.15 ± j16.5.