all parts pls

4) First show thar when Gc(s)=KC.GV(s)=1,Gm(s)=1, and GP(s)=2s+15; the closed loop system is stable for all values of KC>0. (3 Marks) b) Investignte the destabilizing effect of time delays in the feedback loop by considering Gs(s)=e; use a first-order Pade approximation for Gm and find the range of Kc values for which the closed loop is stable. Compare this with the results of part (a). Comment on the effect of time delay on stability. (4 Marks) c) Investigate the stabilizing effect of derivative control action by considering a PD controller Gc(s)=Kc(1+0.2s) for the system in (b). Find the new range of Kc values reguired for closed loop stability and compare this with the results in part (b). Comment on the effect of PD controller on stability. (4 Marks) 1) Show that this system suffers from steady state offset irrespective of the value of the derivative time constant or the proportional gain. Assume step change in set point change of magnitude M. (4 Marks) 4) First show thar when Gc(s)=KC.GV(s)=1,Gm(s)=1, and GP(s)=2s+15; the closed loop system is stable for all values of KC>0. (3 Marks) b) Investignte the destabilizing effect of time delays in the feedback loop by considering Gs(s)=e; use a first-order Pade approximation for Gm and find the range of Kc values for which the closed loop is stable. Compare this with the results of part (a). Comment on the effect of time delay on stability. (4 Marks) c) Investigate the stabilizing effect of derivative control action by considering a PD controller Gc(s)=Kc(1+0.2s) for the system in (b). Find the new range of Kc values reguired for closed loop stability and compare this with the results in part (b). Comment on the effect of PD controller on stability. (4 Marks) 1) Show that this system suffers from steady state offset irrespective of the value of the derivative time constant or the proportional gain. Assume step change in set point change of magnitude M. (4 Marks)