Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators

Pin-Lin Liu

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 1, page 45-51
  • ISSN: 1641-876X

Abstract

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This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.

How to cite

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Liu, Pin-Lin. "Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators." International Journal of Applied Mathematics and Computer Science 15.1 (2005): 45-51. <http://eudml.org/doc/207726>.

@article{Liu2005,
abstract = {This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.},
author = {Liu, Pin-Lin},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Riccati equation; delay-dependency; time delay system; stability},
language = {eng},
number = {1},
pages = {45-51},
title = {Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators},
url = {http://eudml.org/doc/207726},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Liu, Pin-Lin
TI - Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 1
SP - 45
EP - 51
AB - This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.
LA - eng
KW - Riccati equation; delay-dependency; time delay system; stability
UR - http://eudml.org/doc/207726
ER -

References

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  2. Goubet B., Dambrin M. and Richard J.P. (1997): Stability of perturbed systems with time-varying delays. - Syst. Contr. Lett., Vol. 31, No. 3, pp. 155-163. Zbl0901.93047
  3. Han Q.L. and Mehdi D. (1998): Robust stabilization of delay dependence for uncertain time-delay saturating actuators systems. - UKACC Int. Conf. Control'98, Swansea, UK, pp. 635-640. 
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  7. Su H. and Chu J. (1999): Stabilization of a class of uncertain time-delay systems containing saturating actuators. - Int. J. Syst. Sci., Vol. 30, No. 11, pp. 1193-1203. Zbl1033.93521
  8. Su H., Liu F. and Chu J. (2001): Robust stabilization of uncertain time delay systems containing saturating actuators. - IEE Proc. Contr. Theory Appl., Vol. 148, No. 4, pp. 323-328. 
  9. Su T.J., Liu P.L. and Tsay J.T. (1991): Stabilization of delay-dependence for saturating actuator systems. - Proc. 30th IEEE Conf. Decision and Control, Brighton, UK, pp. 2891-2892. 
  10. Su T.J. and Huang C.G. (1992): Robust stability of delay dependence for linear uncertain systems. - IEEE Trans. Automat. Contr., Vol. AC-37, No. 10, pp. 1656-1659. Zbl0770.93077
  11. Su T.J. and Liu P.L. (1996): Robust stability analysis for linear uncertain time-delay systems with delay-dependence. - J. Chinese Inst. Eng., Vol. 16, No. 4, pp. 571-576. 
  12. Su T.J., Lu C.Y. and Tsai J.S.H. (2002): Delay-dependent robust stabilization for uncertain time delay systems with saturating actuators-LMI approach. - Proc.Amer. Contr. Conf., Anchorage, pp. 3357-3358. 
  13. Tsay J.T. and Liu P.L. (1996): Dynamic feedback compensator for constrained uncertain time-delay systems. - J. Chinese Inst. Electr. Eng., Vol. 3, No. 4, pp. 359-365. 

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