Discrete time integral sliding mode control for systems with matched and unmatched uncertainties

Access Full Text

Discrete time integral sliding mode control for systems with matched and unmatched uncertainties

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:
 
 
 
 
 
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

This study addresses an integral sliding mode control method for discrete time systems. The underlying continuous system is affected by both matched and unmatched uncertainties. The past value of the disturbance signal is taken as the estimate of its present value. The sliding mode controller is designed to ensure the existence of sliding mode in the presence of uncertainties. The proportional part is designed based on the analysis of closed-loop stability conditions. An illustrative example is given at the end to prove the efficiency of proposed methods.

Inspec keywords: uncertain systems; discrete time systems; continuous systems; stability; variable structure systems; closed loop systems

Other keywords: unmatched uncertainties; closed- loop stability; discrete time integral sliding mode control; continuous system; matched uncertainties

Subjects: Multivariable control systems; Stability in control theory; Discrete control systems

References

    1. 1)
      • B. Wang , X. Yu , G. Chen . ZOH discretization effect on single-input sliding mode control systems with matched uncertainties. Automatica , 119 - 125
    2. 2)
      • Utkin, V., Shi, J.: `Integral sliding mode in systems operating under uncertainty conditions', Proc. 35th Conf. on Decision and Control, December 1996, Kobe, Japan.
    3. 3)
      • W.J. Cao , J.X. Xu . Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems. IEEE Trans. Autom. Control , 8 , 1355 - 1360
    4. 4)
      • V.I. Utkin . Variable structure systems with sliding modes. IEEE Trans. Autom. Control , 2 , 212 - 222
    5. 5)
      • F. Castanos , L. Fridman . Analysis and design of integral sliding manifolds for systems with unmatched perturbations. IEEE Trans. Autom. Control , 5 , 853 - 858
    6. 6)
      • W.C. Su , S.V. Drakunov , U. Ozguner . An O(T2) boundary layer in sliding mode for sampled-data systems. IEEE Trans. Autom. Control , 3 , 482 - 485
    7. 7)
      • J. Ackermann , V. Utkin . Sliding mode control design based on Ackermann's formula. IEEE Trans. Autom. Control , 2 , 234 - 237
    8. 8)
      • R.A. DeCarlo , S.H. Zak , G.P. Matthews . Variable structure control of nonlinear multivariable systems: a tutorial. Proc. IEEE , 3 , 212 - 232
    9. 9)
      • J.D. Wang , T.L. Lee , Y.T. Juang . New methods to design an integral variable structure controller. IEEE Trans. Autom. Control , 1 , 140 - 143
    10. 10)
      • W. Gao , Y. Wang , A. Homaifa . Discrete-time variable structure control systems. IEEE Trans. Ind. Electron. , 2 , 117 - 122
    11. 11)
      • C. Edwards , S.K. Spurgeon . (1998) Sliding mode control, theory and applications.
    12. 12)
      • K. Abidi , J.X. Xu , X. Yu . On the discrete-time integral sliding-mode control. IEEE Trans. Autom. Control , 4 , 709 - 715
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2008.0471
Loading

Related content

content/journals/10.1049/iet-cta.2008.0471
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading