Consider the following transfer function; K H(s) (s + 1)(s2 + 0,7s+2) a) For the condition K=1, find the state space equation in the form of controllability canonical (phase- variable) b) Calculate Controllability and observability matrix and demonstrate that the systems is fully controllable and observable. c) Determine the state feedback gains that produces a set of desired closed-loop poles s= -3,234 + j3,3 s= -3,2 d) Find the observer gains for full-state observer that produces a set of desired closed-loop poles S = -16,15 + j16,5 s= -16 Consider the following transfer function; K H(s) (s + 1)(s2 + 0,7s+2) a) For the condition K=1, find the state space equation in the form of controllability canonical (phase- variable) b) Calculate Controllability and observability matrix and demonstrate that the systems is fully controllable and observable. c) Determine the state feedback gains that produces a set of desired closed-loop poles s= -3,234 + j3,3 s= -3,2 d) Find the observer gains for full-state observer that produces a set of desired closed-loop poles S = -16,15 + j16,5 s= -16