1. Modeling #5 - The Cab Control Problem
1. Begin with the end in mind
Algorithms
Difference Equations
Simulation
Stability

2. Modeling - The Cab Control Problem
2. Task #1 (part 1)

3. Modeling - The Cab Control Problem

4. Modeling - The Cab Control Problem

5. Modeling - The Cab Control Problem

6. Modeling - The Cab Control Problem
3. Task #1 (part 2)

7. Modeling - The Cab Control Problem
4. Task #1 (part 3)

8. Modeling - The Cab Control Problem
5. Task #2 (part 1)
We need a notation to accomodate the position, velocity, and
acceleration of the two cars in this model. Let’s use the following:
Cab A (leading cab)
Cab B (following cab)
xn - position
un - velocity
an - acceleration
yn - position
vn - velocity
an - acceleration

9. Modeling - The Cab Control Problem
A block diagram of the overall approach might look like:
Cab
Following
Algorithm
position of cab A
position of cab B
position difference
between cabs
velocity of cab A
velocity of cab B
velocity difference
between cabs
acceleration of cab B