The following figures are the block diagrams of parallel PID and series PID controllers, respectively. a. If the parameters of the Series PID controller are Kc=5%To%co,Ti= 50min,Td=10min, calculate the parameters in the Parallel PID controller. b. If you are given the parallel PID controller parameters (Kcp,Tip,Tdp), please find the corresponding series PID controller parameters (Kc,T1,Td). Try to start from the relationship between the (given) series PID parameters and the (derived) parallel PID parameters. c. If the parameters of the Parallel PID controller are Kcp=6%To%co,Tip= 50min,Tdp=4.5min, calculate the parameters in the Series PID controller