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

No-weight design of H2 controllers for square plants

No-weight design of H2 controllers for square plants

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

Thank you

Your recommendation has been sent to your librarian.

In this study, a reduced complexity design procedure for H2 control problems of square plants is presented. First, all stabilising controllers are parameterised. Second, a modified inner–outer factorisation is defined for unstable plants and analytical formulas are developed. Third, the unique optimal controller is analytically derived by utilising the proposed parameterisation and the modified inner–outer factorisation. Finally, a simple tuning rule is developed for quantitative performance and robustness. The proposed procedure has three features: First, it is a no-weight design. The designer is not required to choose a weight. Second, this is an analytical design. The designer can directly use the developed design formulas and thus the design procedure is significantly simplified. Third, this is a quantitative design. The designer can design the controller for quantitative performance such as overshoot or stability margin. Numerical examples are given to illustrate the proposed method.

References

    1. 1)
    2. 2)
      • J.B. Burl . (1999) Linear optimal control: H2 and H-infinity methods.
    3. 3)
      • S. Skogestad , I. Postlethwaite . (2005) Multivariable feedback control.
    4. 4)
      • D.W. Gu , P.H. Pktkov , M.M. Konstantinov . (2005) Robust control design with Matlab.
    5. 5)
      • B.D.O. Anderson , J.B. Moore . (1989) Optimal control: linear quadratic methods.
    6. 6)
      • K. Zhou , J.C. Doyle , K. Glover . (1996) Robust and optimal. control.
    7. 7)
      • V. Kucera , M.J. Grimble , V. Kucera . (1996) A tutorial on H, Polynomial methods for control system design.
    8. 8)
    9. 9)
      • H. Kwakernaak , V. Kucera , M. Sebek . (2000) H, Robust control design.
    10. 10)
      • M. Morari , E. Zafirou . (1989) Robust process control.
    11. 11)
    12. 12)
    13. 13)
    14. 14)
      • J.A. Ball , I. Gohberg , L. Rodman . (1990) Interpolation of rational matrix functions.
    15. 15)
    16. 16)
    17. 17)
    18. 18)
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2009.0072
Loading

Related content

content/journals/10.1049/iet-cta.2009.0072
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address