CFP last date
20 May 2024
Reseach Article

Delay Dependent Anti-windup Synthesis for Time-varying Delay Systems with Saturating Actuators

by N. El Fezazi, F. El Haoussi, E.h. Tissir, F. Tadeo
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 111 - Number 1
Year of Publication: 2015
Authors: N. El Fezazi, F. El Haoussi, E.h. Tissir, F. Tadeo
10.5120/19499-1107

N. El Fezazi, F. El Haoussi, E.h. Tissir, F. Tadeo . Delay Dependent Anti-windup Synthesis for Time-varying Delay Systems with Saturating Actuators. International Journal of Computer Applications. 111, 1 ( February 2015), 1-6. DOI=10.5120/19499-1107

@article{ 10.5120/19499-1107,
author = { N. El Fezazi, F. El Haoussi, E.h. Tissir, F. Tadeo },
title = { Delay Dependent Anti-windup Synthesis for Time-varying Delay Systems with Saturating Actuators },
journal = { International Journal of Computer Applications },
issue_date = { February 2015 },
volume = { 111 },
number = { 1 },
month = { February },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume111/number1/19499-1107/ },
doi = { 10.5120/19499-1107 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:47:12.475229+05:30
%A N. El Fezazi
%A F. El Haoussi
%A E.h. Tissir
%A F. Tadeo
%T Delay Dependent Anti-windup Synthesis for Time-varying Delay Systems with Saturating Actuators
%J International Journal of Computer Applications
%@ 0975-8887
%V 111
%N 1
%P 1-6
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The synthesis of an anti-windup compensator for systems with time-varying delays is solved in this paper. More precisely, LMI conditions are proposed that guarantee the stability of the closedloop system, with a enlarged domain of attraction. An ellipsoid and a polyhedral set are used to bound this domain of attraction, making possible to derive a new sector condition. In addition, an algorithm is provided to optimize the anti-windup gain, reducing the conservatism. Numerical examples illustrate the effectiveness of our methodology, which improves previous works.

References
  1. J. M. Gomes da Silva Jr. and S. Tarbouriech. Local stabilization of discrete-time linear systems with saturating controls: an lmi-based approach. Eurographics Symposium on Rendering, pages 119–125, 2001.
  2. J. M. Gomes da Silva Jr. and S. Tarbouriech. Anti-windup design with guaranteed regions of stability: An lmi-based approach. IEEE Transactions on Automatic Control, 50:106– 111, 2005.
  3. J. M. Gomes da Silva Jr. , S. Tarbouriech, and G. Garcia. Using anti-windup for enlarging the stability of time–delay systems subject to input saturation. In In Proceedings of American Control Conference, Boston, Massachusetts, 2004.
  4. E. Delgado and A. Barreiro. Stability of teleoperation systems for time varying delays by lmi techniques. In Proceedings of the European Control Conference, Kos, Greece, 2007.
  5. F. El Haoussi and E. H. Tissir. Delay and its time–derivative dependent robust stability of uncertain neutral systems with saturating actuators. International Journal of Automation and Computing, 7:455–462, 2010.
  6. F. El Haoussi, E. H. Tissir, A. Hmamed, and F. Tadeo. Stabilization of neutral systems with saturating actuators. Journal of Control Science and Engineering, 1:1–9, 2011.
  7. F. El Haoussi, E. H. Tissir, H. Satori, and F. Tadeo. Robust stability analysis of teleoperation by delay-dependent neutral lmi techniques. Applied Mathematical Sciences, 8:2687– 2700, 2014.
  8. F. El Haoussi, E. H. Tissir, F. Tadeo, and A. Hmamed. Delaydependent stabilisation of systems with time-delayed state and control: application to a quadruple-tank process,. International Journal of Systems Science, 42:41–49, 2011.
  9. Y. He, M. Wu, J. H. She, and G. P. Liu. Parameter–dependent lyapunov functional for stability of time–delay systems with polytopic-type uncertainties. IEEE Transactions on Automatic Control, 49:828–832, 2004.
  10. T. Hu and Z. Lin. Control systems with actuator saturation: Analysis and design. In Boston, MA: Birkhauser, 2001.
  11. Y. S. Lee, Y. S. Moon, W. H. Kwon, and P. G. Park. Delay– dependent robust h1 control for uncertain systems with a state–delay. Automatica, 40:65–72, 2004.
  12. Z. Lin and A. Saberi. Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems and Control Letters, 21:225–239, 1993.
  13. S. Tarbouriech, J. M. Gomes da Silva Jr. , and G. Garcia. Delay-dependent anti-windup strategy for linear systems with saturating inputs and delayed outputs. International Journal of Robust and Nonlinear Control, 14:665–682, 2004.
  14. Y. Wang, Y. Cao, and Y. Sun. Anti-windup compensator gain design for time-delay systems with constraints. Acta Automatica Sinica, 32:455–470, 2006.
  15. S. Xu and J. Lam. A survey of linear matrix inequality techniques in stability analysis of delay systems. International Journal of Systems Science, 39:1095–1113, 2008.
Index Terms

Computer Science
Information Sciences

Keywords

Actuator saturation LMI time-varying delay anti-windup region of stability