Cost Function Matching

Consider the following cost functions. What purpose does each serve?

\begin{cases} 1 & \ddot{s} \geq a\_{\text{max}} \\ 0 & \ddot{s} < a\_{\text{max}} \end{cases}

\begin{cases} 1 & d \geq d\_{\text{max}} \\ 1 & d \leq d\_{\text{min}} \\ 0 & d\_{\text{min}} < d < d\_{\text{max}} \end{cases}

\begin{cases} 1 & \dot{s} \geq v\_{\text{speed limit}} \\ 0 & \dot{s} < v\_{\text{speed limit}} \end{cases}

\frac{1}{1 + e^{-(d - d\_{\text{lane center}})^2}}

(\text{lane number} - \text{target lane number}) ^ 2

QUIZ QUESTION: :

Match the verbal descriptions of each cost function to the appropriate number from above.

ANSWER CHOICES:

Cost Function Verbal Description	Cost Function Number
2
3
1
5
4

SOLUTION:

Cost Function Verbal Description	Cost Function Number
2
3
1
5
4