Determination of All Stabilizing Pi Controllers for Linear Time Invariant Systems

Abstract

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) (i p K and K that satisfies both frequency domain specifications (a specified gain or phase margin) and minimum integral time absolute error (ITAE).