Design a feedback control system for the plant such that the following three control objectives are all met: objectivel: the steady-state value of the output for input r(t) 1 is at least 0.9; objective2: the output reaches 95% of its final value no later than 0.1s; objective3: the overshot (%mp) is less than 5% r(s) c(s) plant controller 10 h(s) s +10 (a) (25pts) as a first try, consider a simple proportional controller h(s) kp. determine the range of value for kp that meets the three objectives. (b) (25pts) now consider a more complex pl controller hos) kp kl/s. determine a set of kp and kl values that meet the three objectives.