Modern micro analytical systems used for polymerase 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 Gc(s), with a pre filter, denoted by Gp(s). The transfer function is [30]
It is required that the percent overshoot P.O. s c(s) and pre filter Gp(s) to achieve the control specifications.
