Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

Less conservative -stability test for polytopic systems using linearly parameter-dependent Lyapunov functions

Less conservative -stability test for polytopic systems using linearly parameter-dependent Lyapunov functions

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

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(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 robust -stability of linear systems with polytopic uncertainty is studied. It provides a new stability test that is less conservative than the existing ones based on linearly parameter-dependent Lyapunov functions. The present criterion is in terms of linear matrix inequalities formulated by the vertices of the matrix polytope. Numerical examples are given to show the less conservativeness of the result.

References

    1. 1)
      • K. Zhou , J.C. Doyle , K. Glover . (1996) Robust and optimal control.
    2. 2)
      • S. Boyd , L.E. Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear matrix inequalities in system and control theory.
    3. 3)
      • P. Gahinet , A. Nemirovski , A.J. Laub , M. Chilali . (1995) LMI control toolbox for use with Matlab.
    4. 4)
    5. 5)
    6. 6)
      • J.C. Geromel , M.C. de Oliveira , L. Hsu . LMI characterization of structural and robust stability. Linear Algebr. Appl. , 69 - 80
    7. 7)
      • M.C. de Oliveira , J.C. Geromel , L. Hsu . LMI characterization of structural and robust stability: the discrete-time case. Linear Algebr. Appl. , 27 - 38
    8. 8)
    9. 9)
    10. 10)
    11. 11)
    12. 12)
    13. 13)
    14. 14)
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
    20. 20)
      • B. Soh . Counterexample to ‘Sufficient and necessary condition for the asymptotic stability of discrete linear interval systems. Int. J. Control , 3 , 1107 - 1108
    21. 21)
    22. 22)
    23. 23)
    24. 24)
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_20050176
Loading

Related content

content/journals/10.1049/ip-cta_20050176
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address