http://iet.metastore.ingenta.com
1887

Delay-dependent robust stabilisation of discrete-time systems with time-varying delay

Delay-dependent robust stabilisation of discrete-time systems with time-varying delay

For access to this article, please select a purchase option:

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IEE Proceedings - Control Theory and Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The stability of discrete systems with time-varying delay is considered. New delay-dependent stability criteria are devised, which are dependent on the minimum and maximum delay bounds. An initial analysis leads to a criterion depending on an inequality involving certain matrices that can be freely chosen. By carefully choosing them to reflect the appropriate relationship between states at differing times, a stricter criterion is thereby obtained. Furthermore, new results for delay-dependent robust stabilisation of uncertain systems with time-varying delay are provided on the basis of a linear matrix inequality (LMI) framework. As the conditions obtained for the existence of admissible controllers are not expressed using strict LMI conditions, a cone complementary linearisation procedure is used to find suitable controllers. Finally, the results obtained, including the stability analysis, static output-feedback stabilisation and dynamic output feedback stabilisation are further extended to discrete time-delay systems having uncertain but norm-bounded parameters. Numerical examples demonstrate the validity of the approach proposed.

References

    1. 1)
    2. 2)
    3. 3)
    4. 4)
      • H.J. Gao , C.H. Wang . Robust L2–L∞ filtering for uncertain systems with multiple time-varying state delays. IEEE Trans. Circuits Syst. , 4 , 594 - 599
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
      • Niculescu, S.I., Neto, A.T., Dion, J.M., Dugard, L.: `Delay-dependent stability of linear system with delayed state: an LMI approach', Proc. 34th IEEE Conf. on Decision Control, 1995, p. 1495–1497.
    10. 10)
    11. 11)
    12. 12)
      • X. Li , C.E. de Souza . Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach. IEEE Trans. Autom. Control , 8 , 1144 - 1148
    13. 13)
    14. 14)
    15. 15)
    16. 16)
      • L. Xie . Output feedback H∞ control of system with parameter uncertainty. Int. J. Control , 4 , 741 - 750
    17. 17)
    18. 18)
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_20050223
Loading

Related content

content/journals/10.1049/ip-cta_20050223
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address