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

Receding horizon H control for nonlinear discrete-time systems

Receding horizon H control for nonlinear discrete-time systems

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 H control problem for discrete-time nonlinear systems with bounded controllers is considered. Applying the receding horizon method for a game problem, a state feedback control law is proposed which imposes a prescribed level of disturbance attenuation with internal stability in a larger domain of the state space than by other methods existing in the literature. Under some further conditions a global solution for the problem is also given. The proposed method cannot only be applied to cases amenable to solution by other methods but also to cases for which the linearisation technique does not work. The application of the method is illustrated by an example.

References

    1. 1)
      • W. Lin , I. Byrnes Ch . H∞-control of discrete-time nonlinear systems. IEEE Trans. Autom. Control , 494 - 410
    2. 2)
      • W. Lin , L. Xie . A link between H∞ control of discrete-time nonlinear system and its linearization. Int. J. Control , 301 - 314
    3. 3)
      • F. Allgöwer , T.A. Badgwell , J.S. Qin , J.B. Rawlings , S.J. Wright , P.M. Frank . (1999) Nonlinear predictive control and moving horizon estimation—an introductory overview, Advances in Control.
    4. 4)
      • De Nicolao, G., Magni, L., Scattolini, R.: `Stability and robustness of nonlinear receding horizon control', NMPC Workshop—Assessment and Future Directions, 1998, Ascona, Switzerland, p. 77–90.
    5. 5)
    6. 6)
      • É. Gyurkovics . Receding horizon control for the stabilization of nonlinear uncertain systems described by differential inclusions. J. Math. Syst., Est. Control , 1 - 16
    7. 7)
    8. 8)
      • G. Tadmor . Receding horizon revisited: An easy way to stabilize an LTV system. Syst. Control Lett. , 285 - 294
    9. 9)
    10. 10)
      • Chen, H., Scherer, C.W., Allgöwer, F.: `A game theoretic approach to nonlinear robust receding control of constrained systems', American Control Conference'97, 1997, Albuquerque, New Mexico, p. 3073–3077.
    11. 11)
    12. 12)
      • G. De Nicolao , L. Magni , R. Scattolini . (1999) Robustness of receding horizon control for nonlinear discrete-time systems, Robustness in Indentification and Control (Siena, 1998).
    13. 13)
      • L. Magni , G. De Nicolao , R. Scattolini , F. Allgöwer . H∞ receding horizon control for nonlinear discrete-time systems. Syst. Control Lett.
    14. 14)
      • Gyurkovics, É.: `Robust nonlinear receding horizon control', IIIrd World Congress of Nonlinear Analyst, WCNA-2000, July 1982, Sicilia, Italy.
    15. 15)
      • T. Basar , G.J. Olsder . (1999) Dynamic noncooperative game theory, Classics in Applied Mathematics 23.
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_20020676
Loading

Related content

content/journals/10.1049/ip-cta_20020676
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address