QI First order control system and response Suppose a plant in closed loop feedback control first order system with the Gr(s) = ((s)/RIs) = (S+2)/(5+5) system is modelled as a transfer function defined below: Sketch the control system diagram showing the input signal rtt), controller Gr(s), plant Gr(s), output signal CHY and unity feedback. Sketch the zero-pole diagram of the system. Find the output response c(t) 27 the system if system. a unit step input u(t) is applied to the system. Which component of the system response c(t) is the forced response for the steady state and which part is the natural response (or transient state). Find the sampling frequency and period that must be selected 0.025s 6 for this system to meet a sensor delay