Regional stabilisation for infinite bilinear systems

Access Full Text

Regional stabilisation for infinite bilinear systems

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

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)
Add to cart

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.

IEE
Published

An output stabilisation technique for infinite dimensional bilinear systems is presented. It consists in studying the asymptotic behaviour of such a system only on a subregion of its geometrical domain, so we give sufficient conditions to obtain a stabilising control. Also, we concentrate on the determination of the control which ensures regional stabilisation by minimising a given performance cost. The obtained results are illustrated by numerical examples.

Inspec keywords: stability; minimisation; bilinear systems

Other keywords: output stabilisation technique; geometrical domain; sufficient conditions; stabilising control; performance cost minimisation; infinite dimensional bilinear systems

Subjects: Nonlinear control systems; Stability in control theory; Optimisation techniques

References

    1. 1)
      • J.M. Ball , M. Slemrod . Feedback stabilization for distributed semilinear control systems. Appl. Math. Optim. , 169 - 179
    2. 2)
      • T. Kato . (1980) Perturbation theory for linear operators.
    3. 3)
      • R. Triggiani . On the stabilizability problem in banach space. J. Math. Anal. Appl. , 383 - 403
    4. 4)
      • L. Berrahmoune , Y. El Boukfaoui , M. Erraoui . Remarks on the feedback stabilization of system affine in control. Eur. J. Control. , 17 - 28
    5. 5)
      • A. Pazy . (1983) Semi-groups of linear operators and applications to partial differential equations.
    6. 6)
      • J. Ball , J.E. Marsden , M. Slemrod . Controllability for Distributed bilinear systems. SIAM, J. Control Optim. , 575 - 597
    7. 7)
      • E. Zerrik , M. Ouzahra . Regional stabilization for infinite dimensional systems. Int. J. Control , 1 , 73 - 81
    8. 8)
      • V. Jurjevic , J.P. Quinn . Controllability and stability. J. Differ. Eqn. , 381 - 389
    9. 9)
      • E. Zerrik , M. Ouzahra . Output stabilization for infinite-dimensional systems. Eur. J. Control
    10. 10)
      • J.P. Quinn . Stabilization of bilinear systems by quadratic feedback control. J. Math. Anal. Appl. , 66 - 80
    11. 11)
      • Bounit, H.: `Contribution à la stabilization et à la construction d'observateurs pour une classe de systèmes à paramètres distribuès', 1996, Thèse de doctorat, Universitè de Lyon I, France.
    12. 12)
    13. 13)
      • R. Datko . Extending a theorem of A. M. Liapunov to Hilbert space. J. Math. Anal. Appl. , 610 - 616
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_20040017
Loading

Related content

content/journals/10.1049/ip-cta_20040017
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading