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

Input–output linearisation of a fourth-order input-affine system describing the evolution of a three-phase/switch/level (Vienna) rectifier

Input–output linearisation of a fourth-order input-affine system describing the evolution of a three-phase/switch/level (Vienna) rectifier

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

Buy article PDF
$19.95
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for $120.00
(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:
 
 
 
 
 
IET Power Electronics — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

  • Author(s): R. Ansari 1 ; M.R. Feyzi 1 ; K. Akbari Hamed 2 ; N. Sadati 2, 3 ; Y. Yasaei 4 ; S. Ouni 4
    • View affiliations
    • Affiliations: 1: Power Engineering Department, University of Tabriz, Tabriz, Iran
      2: Intelligent Systems Laboratory, Electrical Engineering Department, Sharif University of Technology, Tehran, Iran
      3: Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, Canada
      4: Electrical Engineering Department, Sharif University of Technology, Tehran, Iran
  • Source: Volume 4, Issue 8, September 2011, p. 867 – 883
    DOI:  10.1049/iet-pel.2010.0158 , Print ISSN 1755-4535, Online ISSN 1755-4543
© The Institution of Engineering and Technology
Published

This study presents an analytical approach for proper selection of output functions to be regulated for the Vienna rectifier such that the resultant closed-loop systems are minimum phase. Specifically, two different adaptive control methodologies based on the input–output linearisation are developed and categorised. In the first category, three output functions are introduced and imposed to be zero by using three dynamic feedback laws. On the basis of states to be regulated, four different cases are studied and it is shown that only one of these cases results in a one-dimensional zero dynamics with an asymptotically stable equilibrium point. In the second category, two output functions are defined and output zeroing problem is solved with two control inputs. In addition, the remaining control is used to feedback linearise the resultant two-dimensional zero dynamics. Eighteen different cases are studied to demonstrate that only in one of these cases, the corresponding zero dynamics is feedback linearisable. Stability properties of the adaptive systems are investigated to show that the proposed adaptive controllers are capable of DC output voltage regulation and power factor correction in the presence of parametric and non-parametric uncertainties. Finally, simulation results are presented to confirm the validity of the developed approaches.

Inspec keywords: voltage control; closed loop systems; linearisation techniques; rectifiers; rectifying circuits; adaptive control; power factor correction; asymptotic stability

Other keywords: power factor correction; DC output voltage regulation; switch rectifier; three-phase rectifier; one-dimensional zero dynamics; asymptotically stable equilibrium point; feedback linearisable; fourth-order input-affine system; input-output linearisation; level rectifier; adaptive control methodologies; closed-loop systems; Vienna rectifier

Subjects: Nonlinear network analysis and design; Voltage control; Self-adjusting control systems; Stability in control theory; Power electronics, supply and supervisory circuits; Control of electric power systems

References

    1. 1)
      • Kanaan, H.Y., Al-Haddad, K., Fnaiech, F.: `DC load unbalance and mains disturbances effects on a three-phase three-switch three-level boost rectifier', Proc. IEEE ISIE, June 2003, 2, p. 1043–1048.
    2. 2)
      • Kanaan, H.Y., Al-Haddad, K., Chaffa, R., Duguay, L.: `A new multiple loops control scheme for a three phase/switch/level rectifier based on the input/output feedback linearization technique', Proc. IEEE IECON, 5–8 November 2002, Seville, Spain.
    3. 3)
    4. 4)
    5. 5)
    6. 6)
      • Youssef, N.B.H., Fnaiech, F., Al-Haddad, K.: `Small signal modeling and control design of a three-phase AC/DC Vienna converter', Proc. IEEE IECON, 2003, 1, p. 656–661.
    7. 7)
    8. 8)
    9. 9)
      • H.K. Khalil . (1988) Nonlinear systems.
    10. 10)
    11. 11)
    12. 12)
    13. 13)
      • A. Isidori . (1989) Nonlinear control systems.
    14. 14)
      • Kanaan, H.Y., Al-Haddad, K., Fnaiech, F.: `Comparative analysis of multiple-loops linear and nonlinear control schemes applied to a threephase three-switch three-level rectifier', Proc. 39th Conf. Rec. IEEE IAS Annu. Meeting, 3–7 October 2004, 1, p. 453–460.
    15. 15)
    16. 16)
      • Youssef, N.B.H., Al-Haddad, K., Kanaan, H.Y.: `DSP real time linear control implementation based on experimentally validated small signal model of a three-phase three-level boost-type Vienna rectifier', Proc. IEEE IECON, November 2006, Paris, France, p. 37–42.
    17. 17)
    18. 18)
    19. 19)
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
    25. 25)
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-pel.2010.0158
Loading

Related content

content/journals/10.1049/iet-pel.2010.0158
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
Print this page
This is a required field
Please enter a valid email address