Design a Proportional control system for the following open loop system using the root locus method: G ( s) = s(s2 + 6s + 25) 1. Is the open loop system stable or unstable? Show using step response 2. Plot the root locus by hand. 3. Plot the root locus using Matlab rlocus(num.den) 4. Design a Proportional control system (find K) to get an underdamped system with zeta 0.35. Plot the complete time response for this value of K. Find all the metrics for the time response, and mark them clearly on the response