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

Principal gains and phases: insensitive robustness measures for assessing the closed-loop stability property

Principal gains and phases: insensitive robustness measures for assessing the closed-loop stability property

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:
 
 
 
 
 
IEE Proceedings D (Control Theory and Applications) — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

In the paper, the use of principal gains and phases in assessing the robustness of the closed-loop stability property is examined. An improved version of the recently developed principal gain-phase method is presented, and conditions are derived under which the technique is insensitive to small perturbations.

References

    1. 1)
      • A.G.J. MacFarlane , I. Postlethwaite . The generalised Nyquist stability criterion and multivariable root loci. Int. J. Control , 81 - 127
    2. 2)
      • M.G. Safonov , A.J. Laub , G. Hartmann . Feedback properties ofmultivariable systems: The role and use of the return difference matrix. IEEE Trans. , 47 - 65
    3. 3)
      • F.R. Gantmacher . (1959) , Theory of matrices.
    4. 4)
      • J.H. Wilkinson . (1965) , The algebraic eigenvalue problem.
    5. 5)
      • I. Postelthwaite , J.M. Edmunds , A.G.J. MacFarlane . Principal gains and principal phases in the analysis of linear multivariable feedback systems. IEEE Trans. , 32 - 46
    6. 6)
      • Daniel, R.W.: `Regulators and the design of linear multivariable control systems', 1981, Cambridge thesis, .
    7. 7)
      • B. Kouvaritakis , R. Husband . Multivariable circle criteria: An approach based on sector conditions. Int. J. Control , 227 - 254
    8. 8)
      • M. Athans . (1981) , Views on linear time-variant multivariable control system design.
    9. 9)
      • F.L. Bauer , C.T. Fike . Norms and exclusion theorems. Numer. Math. , 137 - 141
    10. 10)
      • R.W. Daniel . Sensitivity of principal phases. Electron. Lett. , 17 , 754 - 755
    11. 11)
      • I. Postlethwaite . Sensitivity of the characteristic gain loci. Automatica
    12. 12)
      • C.A. Desoer , Y.T. Wang . On the generalised Nyquist stability criterion. IEEE Trans. , 187 - 196
    13. 13)
      • J.C. Doyle , G. Stein . Multivariable feedback design: Concepts for aclassical/modern synthesis. IEEE Trans. , 4 - 16
    14. 14)
      • Lehtomaki, N.A.: `Practical robustness measures in multivariable control system analysis', 1981, thesis, Massachusetts Institute of Technology.
    15. 15)
      • G.W. Stewart . (1976) , Introduction to matrix computations.
    16. 16)
      • A.R. Amir-Moez , A. Horn . Singular values of a matrix. Am. Math. Monthly , 742 - 748
    17. 17)
      • H.H. Rosenbrock . (1974) , Computer-aided design of control systems.
    18. 18)
      • M. Marcus , H. Minc . (1964) , A survey of matrix theory and matrix inequalities.
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-d.1982.0052
Loading

Related content

content/journals/10.1049/ip-d.1982.0052
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address