Analysis of Second Order Differential Equation Coefficients Effects on PID Parameters

Jamil S. Al-Azzeh(1*)

(1) Computer Engineering, Al Balqa Applied University, Jordan
(*) Corresponding author



Abstract


A plant with second order differential equation (SODE) will be analyzed and simulated to find the effects of SODE on the PID controller parameters. SODE coefficients with varying values will be taken and PID controller will be tuned to find the optimal values of system response and the needed optimal values of PID controller parameters. The simulation results will analyze and some judgments and recommendations will be proposed in order to build a closed loop control system with optimal system response.
Copyright © 2019 Praise Worthy Prize - All rights reserved.

Keywords


System Response; Steady State; Steady State Error; Sode Coefficients; PID Parameters

Full Text:

PDF


References


Astrom, K.J., H. Panagopoulos and T. Hagglund (1998). Design of PI controllers based on non-convex optimization. Automatica 34(5), 585–601.

Chien, I.L. and P.S. Fruehauf (1990). Consider IMC tuning to improve controller performance. Chemical Engineering Progress pp. 33–41.

Cohen, G.H. and G.A. Coon (1953). Theoretical consideration of retarded control. Trans. ASME 75, 827– 834.

Ho, W.K., K.W. Lim and W. Xu (1998). Optimal gain and phase margin tuning for PID controllers. Automatica 34(8), 1009–1014. See Automatica.

Holm, O. and A. Butler (1998). Robustness and performance analysis of PI and PID controller tunings. Technical report. 4th year project, Department of Chemical Engineering. Norwegian University of Science and Technology, Trondheim.

B.Nagaraj,S.Suba and B.Rampriya: Tuning Algorithms for PID Controller Using Soft Computing Techniques; International Journal of Computer Science and Network Security(IJCSNS), VOL.8 No.4, April 2008. pp278-281.

Nagaraj B, Subba S and Rampriya B, 2005, Tuning Algorithm for PID Using Soft-Computing Techniques. International Journal of Computer Science and Network Security, Vol 8, No 4 April, pp. 278 – 289.

Pillay N. and Govender P., 2007, A Particle Swarm Optimization Approach for Model Independent Tuning of PID Control Loop, IEEE Africon 2007, IEEE Catalog: 04CH37590C, ISBN: 0-7803-8606-X.

T. O.Mahony, C J Downing and K Fatla, 2000, Genetic Algorithm for PID Parameter Optimization: Minimizing Error Criteria, Process Control and Instrumentation, University of Stracthclyde, pp. 148- 153.


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2019 Praise Worthy Prize