Question: Question 5 State Space Model from Transfer Functions, Pole Placement by State Feedback Method, Steady State Errors to Step and Ramp Inputs. Consider a linear

Question 5 State Space Model from Transfer Functions, Pole Placement by State Feedback Method, Steady State Errors to Step and Ramp Inputs. Consider a linear system described by the following transfer function: Y (s) 2s2 6s 20 U(s) $3 +10s2 +2s+30 1) (10 marks) Derive a set of state equations in the Controller Canonical Form. 2) (10 marks) State-variable feedback is to be applied according to the following equation Determine the values of the gain constant K and the state feedback vector k so that the closed loop system will have poles at:-20 and-2 j2 , and the steady-state error to a step input will be zero

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