For a first-order plus deadtime (FOPDT) process, a PI controller is used. The transfer functions for the closed loop system are given as follows: Ge(s)=K (1+), G(S)=Kpe-Ops , Ga(S)=G(S)=1 TpS+1 Assume a specific controller gain K = 0.3 is used, and parameters for FOPDT process are: Kp = 1, tp = 1, and 0 = 0.5. Pade approximation can be used to approximate the deadtime in FOPDT. Determine the minimum value of the controller parameter T, to guarantee the stability of the closed loop system. (Hint: Routh array)