A Paper on System Stability (First Order and Second Order) using PID Controller
Kshitiz Agarwal

Kshitiz Agarwal, Department of Electronics & Communication Engineering, Suresh Gyan Vihar University, Malviya Nagar, Jaipur (Rajasthan), India.
Manuscript received on 8 August 2013 | Revised Manuscript received on 18 August 2013 | Manuscript Published on 30 August 2013 | PP: 129-132 | Volume-3 Issue-3, August 2013 | Retrieval Number: C1133083313/13©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: PID Controller is used for tuning of three constants (P,I&D).It stabilize the system by reducing oscillations and settling time. In the proposed method, new tuning rules based on the exact satisfaction of gain and phase margin specifications using proportional-integral (PI) and proportional-integral-differential (PID) type controllers are used for unstable first-order plus dead-time (UFOPDT) processes. The tuning rules are given in the form of iterative algorithms, as well as in the form of accurate, analytical approximations. Moreover, several specific functions, related to the crossover frequencies of the Nyquist plot and to the feasible design specifications for a given process, are derived. These functions, which are particularly useful for the general design of PI and PID-type controllers for UFOPDT processes are accurately approximated, in order to simplify the tuning procedure. With the proposed approximations, the tuning rules require relatively small computational effort and are particularly useful for online applications.
Keywords: Differential, Proportional, Integral, Delay, First and Second Order System.

Scope of the Article: Adaptive Systems