Suppose a control system is modeled by G v G p = 0.25 / (s + 1)

Question:

Suppose a control system is modeled by G_vG_p = 0.25 / (s + 1)³ , G_m= 4, and G_c = K_c. Find the maximum value of K_c for a proportional controller for which the system is stable, using direct substitution, and verify your result using simulation. Replace the controller with a PD controller (K_c = 10). Determine the range of τ_Dfor which the system is stable. Check your results using simulation.