1. Modeling #4 - The Cab Control Problem
The speed-of-approach algorithm employs:

2. Modeling - The Cab Control Problem
Start as before with the equation for the velocity of the leading car A:
Again use the numerical approach:

3. Modeling - The Cab Control Problem
Then repeat for the trailing car B:
1. Calculate the acceleration an from the speed-of-approach algorithm
2. Calculate the velocity vn+1
3. Calculate the distance yn+1

4. Modeling - The Cab Control Problem
4. Calculate the relative speed:
then compute the new acceleration from the speed of approach
algorithm.
5. Increment the time, and repeat all of the calculations for both cab A
and cab B

5. Modeling - The Cab Control Problem
Note: Once again, you must limit the accelerations
With “if” statements, or some other approach, you
must stop the acceleration from exceeding the two
limits (amax and -dmax)