New Results on PID Stabilization of Integral Process with Time Delay

Yu Dong

doi:10.4028/www.scientific.net/AMM.775.339

Paper Titles

Study on Iterative Learning Control of Mobile Robot
p.319

Analytical Study of Piezoelectric Effect on Curvature and Mechanical Sensitivity in Large Deflection of Pre-Stressed Layered Plate Including a Piezoelectric Layer
p.324

Catastrophic Results for Equipment and Machine Driving Systems when High Impact during Operation Occurs
p.329

Optimal Control Strategy at the Main Reduction Process for Lunar Spacecraft Soft Landing
p.334

New Results on PID Stabilization of Integral Process with Time Delay
p.339

Multi-Objective Optimization of Nonlinear Controller for Untripped Rollover Prevention of an 8-dof Vehicle Dynamic Model
p.347

A Gear Micropump without Bearings Production
p.352

Design and Research of a Novel Fast Connecting and Separating Modular Space Manipulator
p.357

Experimental Study on Nonlinear Vibration of Bistable Piezoelectric Cantilever Beam
p.363

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 775New Results on PID Stabilization of Integral...

New Results on PID Stabilization of Integral Process with Time Delay

Abstract:

This paper considers the problem of stabilizing an integral process with time delay by a PID controller. As the proportional gain reaches the extreme value, the closed-loop system contains a double pole on the non-negative imaginary axis. Using this property, the admissible range of the proportional gain is derived, also the corresponding integral gain and derivative gain are obtained. For a fixed value of the proportional gain, the stability region in the plane of the integral and derivative gains is determined analytically. Moreover, the admissible ranges of the integral and derivative gains are computed and found to be non-convex. A numerical example illustrates the method presented.

You might also be interested in these eBooks

Engineering Solutions for Industrial Production

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 775)

Pages:

339-346

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.775.339

Citation:

Cite this paper

Online since:

July 2015

Authors:

Yu Dong

Keywords:

Double Pole, Integral Process, PID Stabilization

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] I. L. Chien, P. S. Fruehauf. Consider IMC tuning to improve performance. Chemical Engineering Progress, 86, pp.33-41, (1990).

Google Scholar

[2] B. D. Tyreus, W. L. Luyben, Tuning PI controllers for integrator/deadtime processes, I&EC Research, 31, p.2625–8, (1992).

DOI: 10.1021/ie00011a029

Google Scholar

[3] W. L. Luyben, Tuning proportional-integral-derivative controllers for integrator/deadtime processes, I&EC. Research, 35, p.3480–3, (1996).

DOI: 10.1021/ie9600699

Google Scholar

[4] F. Padula and A. Visioli, On the stabilizing PID controllers for integral process, IEEE Transactions on Automatic Control, 57, pp.494-9, (2012).

DOI: 10.1109/tac.2011.2164821

Google Scholar

[5] Y. L. Song, M. O. Tade and T. H. Zhang, Stabilization and algorithm of integrator plus dead-time process using PID controller, Journal of Process Control, 19, pp.1529-37, (2009).

DOI: 10.1016/j.jprocont.2009.07.014

Google Scholar

[6] D. J. Wang, Synthesis of PID controllers for integral processes with time delay, Asian Journal of Control, 11, pp.564-70, (2009).

DOI: 10.1002/asjc.137

Google Scholar

[7] Y. Dong, Admissible Range of Proportional Gain in Stabilizing PID Region, Applied Mechanics and Meterials, 530-531, pp.1068-77, (2014).

DOI: 10.4028/www.scientific.net/amm.530-531.1068

Google Scholar