(Solved): DP6.5 A traffic control system is designed to control the distance between vehicles, as shown in Fi ...

DP6.5 A traffic control system is designed to control the distance between vehicles, as shown in Figure DP6.5? [15]. (a) Determine the range of gain $K$ for which the system is stable. (b) If $K_m$ is the maximum value of $K$ so that the characteristic roots are on the $j?$-axis, then let $K=K_m/N$, where $\mathrm{N}$ is to be selected. We want the peak time to be $T_p?2\mathrm{s}$ and the percent overshoot to be $P.O.?20\%$. Determine an appropriate value for $N$. Figure DP6.5 Traffic distance control