Q1 If closed loop transfer function of a system is given as K (2-s) 2 {tps +(2T +1)s +K (2s)+2} P G (s) = Where Tp P is the time constant, Kc is the gain of the proportional controller. It is given that the most probable value of T, is 1 and Kc has been chosen to be 2.5. P Determine whether the plant with most probable time constant will be stable at current setting of Kc.

If closed loop transfer function of a system is given as G(s)={ps2+(2p+1)s+Kc(2s)+2}Kc(2s) Where p is the time constant, Kc is the gain of the proportional controller. It is given that the most probable value of p is 1 and Kc has been chosen to be 2.5 . Determine whether the plant with most probable time constant will be stable at current setting