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This paper considers the problem of controlling a given linear time invariant (LTI) system described by a rational transfer function using a PI controller. A method based on graphical and computational tools has been proposed. This method specifies a PI controller (Kp and Ki ) that satisfies both frequency domain specifications (a specified gain or phase margin) and minimum integral time absolute error (ITAE).

DETERMINATION OF ALL STABILIZING PI CONTROLLERS FOR LINEAR TIME INVARIANT SYSTEMS