Robust PID Stabilization of Linear Neutral Time-Delay Systems

  • Hassan Farokhi Moghadam Shahid Rajaee Teacher Training University
  • Nastaran Vasegh Shahid Rajaee Teacher Training University

Abstract

This paper deals with the problem of robust stabilization of neutral timedelay systems using  proportional-Integral-Derivative (PID) controller. A graphical approach which will obtain the set of robust stabilizing PID controllers is presented. The main point in this approach is the frequency response of the neutral system, which can effectively reduce the mathematical  complexities of system modeling. It is shown that our the proposed method is effective and  useful for many of real control systems deal with time-delays and parametric uncertainties. It is illustrated by an example at the end.

References

[1] O.T. Altinoz, A.E. Yilmaz, G.-W. Weber (2012), Application of Chaos Embedded PSO for PID Parameter Tuning, Int J Comput Commun, ISSN 1841-9836, 7(2):204-217.

[2] B. Fang (2010), Computation of stabilizing PID gain regions based on the inverse Nyquist plot, J Proc Cont, 20:1183-1187.
http://dx.doi.org/10.1016/j.jprocont.2010.07.004

[3] K. W. Ho, A. Datta, S.P. Bhattacharya (1999), Generalizations of the Hermite-Biehler theorem, Lin Alg its App, Vol. 302-303, pp. 135-153.

[4] K. W. Ho, A. Datta, S.P. Bhattacharya (2003), PID stabilization of LTI plants with timedelay, Proceeding 42nd IEEE Conference on Decision and Control, 4038-4043.

[5] N. Hohenbichler (2009), All stabilizing PID controllers for time-delay systems, Automatica, 45:2678-2684.
http://dx.doi.org/10.1016/j.automatica.2009.07.026

[6] L. Dugard, E. I. Verriest (1998), Stability and Control of Time-delay Systems, London: Springer-Verlag.
http://dx.doi.org/10.1007/BFb0027478

[7] O.M. Kwon, J.H. Park, S.M. Lee (2008), On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays, AppL Math Compu, 197:864-873.
http://dx.doi.org/10.1016/j.amc.2007.08.048

[8] J. R. Partingtona, C. Bonnet (2004), H∞ and BIBO stabilization of delay systems of neutral type, Syst & Cont Lett, 52:283-288.
http://dx.doi.org/10.1016/j.sysconle.2003.09.014

[9] S. Skogestad, I. Postlethwaite (2001), Multivariable Feedback Control, John Wiley & Sons.

[10] G.J. Silva, A. Datta, S.P. Battacharrya (2005), PID Controllers for Time-Delay Systems, Birkhauser, Boston, 2005.
Published
2014-02-28
How to Cite
FAROKHI MOGHADAM, Hassan; VASEGH, Nastaran. Robust PID Stabilization of Linear Neutral Time-Delay Systems. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 9, n. 2, p. 201-208, feb. 2014. ISSN 1841-9844. Available at: <http://univagora.ro/jour/index.php/ijccc/article/view/39>. Date accessed: 02 july 2020. doi: https://doi.org/10.15837/ijccc.2014.2.39.

Keywords

Robust stabilization, PID controller, Time-delay, Neutral systems