Sensitivity Design for Arbitrary Order Plant with Time Delay Using PI Controller

In present research, PI (propotional and integral) controller for sensitivity design with time delay under perturbed conditions is considered to achieve sensitivity stability criteria of arbitrary order plant. In particular, it has been shown that all PI gains that robustly stabilize a given uncertain (SISO) (LTI) system by keeping the sensitivty stability criterion.//S(jω)//∞ = can be found by calculating the PID controller gains Kp, Ki using frequency domain stability analysis presented in this paper developed on the preliminary knowledge of extended Hermite-Biehler Theorem.