Choose K, z and p so that the closed-loop system G(s) has a maximum of 10% overshoot to a step input and a 1% settling time of no more than 1.5sec. Do not attempt any pole/zero cancellation! Recall that when a pole is very close to a zero, the effects of the two are nearly cancelled in the output. Hint: Review lecture notes on System Zeros. Verify your design using Matlab by plotting a step response of your closed-loop system. Print the step response and attach it to your homework

Liquid flows at steady state at a rate of 2 lb/'s through a pump, which operates to raise the elevation of the liquid 100 ft from control volume inlet to exit. the liquid specific enthalpy at the inlet is 40.09 btu/lb and at the exit is 40.94 btub. the pump requires 3 btu/s of power to operate. if kinetic energy effects are negligible and gravitational acceleration is 32.174 tt/s, the heat transfer rate associated with this steady state process is most closely 1)-2,02 btu/s from the liquid to the surroundings 2)-3.98 btu/s from the surroundings to the liquid. 3)-4.96 btu/s from the surroundings to the liquid. 4)-1.04 btu/s from the liquid to the surroundings.