Consider a system given in figure which is controlled by a PI controller with reset time constant I= Dominant open loop time constant. GPGd=(6s+1)(4s+1)(2s+1)1=(5s+1)(3s+1)(s+1)1 a. Obtain KC for a dominant closed loop pole =0.5. b. For a unit step change, obtain y(t) for a servo and a regulatory response. c. Determine the peak overshoot ratio for a servo response. d. Determine the maximum deviation in the regulatory response