Problem (2): The open loop transfer function of a feedback system is given by K G(s) = ; H (s) = 10 s (s +1 ) (0.2 s+ 1) Design a controller such that the closed loop system will have a settling time less than 1.0 sec. and a percentage overshoot (PO) less than 5%. Draw the root locus plots of the uncompensated and compensated systems using Matlab.

Consider a 1.2 meter high and 2 meter wide glass window whose thickness is 6 mm and thermal conductivity is 0.78 w/m °c. the room temperature is maintained at 24 °c, while the outdoor temperature is -5 °c. the convective heat transfer coefficients on the inner and outer surfaces of the window are 10 w/m2 °c and 25 w/m2 °c respectively. (a) draw the thermal resistance network, etermine the steady rate of heat transfer t e glass window (c) determine the temperature of the inner surface of the window