technical report and power point presentation

The project is to design a PI controller for the head of a tank system. The simple model of the system is shown. All the sensors and actuators are voltage based. The block diagram for the model is:

Note that,  and  are related to the head by: , where h is in mm and  is in

Requirements:

Part A: Obtaining System Parameters:

• Use a proportional controller only () and unit step input () in the experiment, find the system parameters (and ). Hint: the system can be reduced to the block diagram shown below, where  and  are new parameters obtained from the  CLTF, and they are functions of  and . Use the slope method and the final value theorem to obtain these parameters.
• Plot on the same graph the experiment data of K_p=1 and K_i=0 with the simulation from Simulink for the obtained parameters. Compare between the plots.
• Plot on the same graph the experiment data of K_p=7 and K_i=1 with the simulation from Simulink for the obtained parameters. Compare between the plots.

Part B: PI Design (Use Simulink and MATLAB only):

(For the analysis, consider  and maximum allowed head in the tank=250 mm)

• For the following conditions, test the system for different parameters, and discuss the steady state error and whether there is overflow of the fluid in each case.
• Using P controller only
• Using I controller only
• Using PI controller

• Give brief conclusion with optimum values for K_p and K_i.

Project Instructions:

• This project is teamwork of 2-3 members. All groups should finalize their group members within 24 hours from the assignment date of the project.
• A technical report, Word processed, must be submitted in week 15 and power point presentation is required for all groups