please help me to do this problem

Design a simple cruise controller setup using Simulink as shown below: Set speed Value Discrete PID Controller: 1 27 1.5 18 1.0 0 0.5 100 Display Set speed Error Controller output 0 21 PID(z) Discrete PID Controller Set speed Unit Delay 10 15 20 25 Discrete Fiter: 1 -9 10 2+0.671 Discrete Filter Display current speed The PID controller represents the cruise controller algorithm (with P=1, I=1, D=0), while the physical environment (road friction, drag, etc.) is represented by the following model (Discrete Filter module): 1 2 + 0.6z-1 a) Simulate the setup. Is it a stable system? Determine how many rounds the system requires to reach cruise speed (within 1 mile of set speed) for set speed of 40, 60, 80, and 100. b) Change the physical environment (Discrete Filter module) to the following: 1 10 + 3z-1 Simulate the setup. Is the cruise system stable? Determine how many rounds the system requires to reach cruise speed (within 1 mile of set speed) for set speed of 40, 60, 80, and 100. c) Change the physical environment (Discrete Filter module) to the following: 1 0.1 + 2z-1 Simulate the setup. Is the cruise system stable? Determine how many rounds the system requires to reach cruise speed (within 1 mile of set speed) for set speed of 40, 60, 80, and 100. d) What do you conclude from these 3 sets of simulations regarding the system? Design a simple cruise controller setup using Simulink as shown below: Set speed Value Discrete PID Controller: 1 27 1.5 18 1.0 0 0.5 100 Display Set speed Error Controller output 0 21 PID(z) Discrete PID Controller Set speed Unit Delay 10 15 20 25 Discrete Fiter: 1 -9 10 2+0.671 Discrete Filter Display current speed The PID controller represents the cruise controller algorithm (with P=1, I=1, D=0), while the physical environment (road friction, drag, etc.) is represented by the following model (Discrete Filter module): 1 2 + 0.6z-1 a) Simulate the setup. Is it a stable system? Determine how many rounds the system requires to reach cruise speed (within 1 mile of set speed) for set speed of 40, 60, 80, and 100. b) Change the physical environment (Discrete Filter module) to the following: 1 10 + 3z-1 Simulate the setup. Is the cruise system stable? Determine how many rounds the system requires to reach cruise speed (within 1 mile of set speed) for set speed of 40, 60, 80, and 100. c) Change the physical environment (Discrete Filter module) to the following: 1 0.1 + 2z-1 Simulate the setup. Is the cruise system stable? Determine how many rounds the system requires to reach cruise speed (within 1 mile of set speed) for set speed of 40, 60, 80, and 100. d) What do you conclude from these 3 sets of simulations regarding the system