solve this eq

The transfer function of the thermometer is given by Gp(s)=5s+22.5e1.8s 1. Determine the PI controller settings for the above process using DS method and IMC method (Use Skogestad's approach to calculate Ic 2. Determine the PI and PID controller settings for the above process using cohen-coon and Zieler-Nichols open loop method. 3. Design a PID controller for the above process based on ITAE performance index for load and set-point changes