Robust Stability Analysis with Time Delay using PI Controller
Gursewak Singh

Gursewak Singh, Assistant Professor (ECE), Yadawindra College Of Engineering ,Guru Kashi Campus, Punjabi University Patiala(Punjab) India.
Manuscript received on November 01, 2012. | Revised Manuscript received on November 02, 2012. | Manuscript published on November 05, 2012. | PP: 248-252 | Volume-2 Issue-5, November 2012. | Retrieval Number: E1012202512/2012©BEIESP
Open Access | Ethics and Policies | Cite
© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (

Abstract: In this paper, real time implementation of PI and PID controllers is Investigated for stabilizing an arbitrary-order plant or system. Simple closed loop feedback ,PI controller can overcome all the problems of uncertainties like time delay in LTI (Linear Time Invariant) system.This paper will give us an implortant alogorithm to be imlemented in MATLAB for achieving the robust stability in LTI plant in presence of any type of perturbations or external disturbances. In this paper, a single input and single output (LTI) linear time invariant plant under perturbed conditions with additive uncertainity weight senstivity is considered. In this paper especially, I have found all set of PI gains Kp,Ki which will promise us for the stability in a given disturbed (SISO) (LTI) system by achieving the robust stability constraint ⃒ <=1 can be found by obtaining the PI controller gains Kp,Ki using frequency domain analysis .
Keywords: PI Controller, Time delay, Robust Stability, Uncertainity weight, frequency domain.