DP10.11 Modern microanalytical systems used for poly merase chain reaction (PCR) requires fast, damped tracking response. The control of the temperature of the PCR reactor can be represented as shown in Figure DP10.11. The controller is chosen to be PID controller, denoted by G,(s), with a prefilter, denoted by G(s). The transfer function is [30] G(s) 45 (8 + 2.9)(s + 0.14) It is required that the percent overshoot P.O. < 1% and the settling time T, <3 seconds to a unit step input. Design a controller G,(s) and prefilter G,(s) to achieve the control pecifications. Prfilter Controles G,(s) Desired temperature Wex F Reactor, G(s) 45 Actual G(5) Kp + Kps temperature (s +2.91(s +0.11) И FIGURE DP10.11 Polymerase chain reaction contrd system.