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

Low-sensitivity observer-compensator design for two-dimensional digital systems

Low-sensitivity observer-compensator design for two-dimensional digital systems

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.

The problem considered in the paper refers to the general area of developing design and computational algorithms for analysing low-sensitivity time-invariant multivariable two-dimensional systems using output feedback. It is seen that the matrix-minimum principle can be used to study two-dimensional digital systems with incomplete state information for the implementation of a low-sensitivity feedback law. The results show that an observer can be used in addition to the output vector to estimate the state of the system, which in turn is used for implementing the feedback law.

References

    1. 1)
      • D.G. Luenberger . Observing the state of a linear system. IEEE Trans. , 14 - 80
    2. 2)
      • B.C. Kou . (1980) , Digital control systems.
    3. 3)
      • P.N. Paraskevopoulos . Transfer function matrix synthesis of two-dimensional systems. IEEE Trans. , 321 - 324
    4. 4)
      • R.P. Roesser . A discrete state-space model for linear image processing. Proc. IEEE , 1 - 10
    5. 5)
      • Stavroulakis, P., Tzafestas, S.: `Optimal control of stochastic distributed parameter systems using the matrix minimum principle', Proceedings of first international conference on information science and systems, June 1979, Patras, Greece, 2, p. 399–407.
    6. 6)
      • Digital filters. Proc. IEEE , 4
    7. 7)
      • P.N. Paraskevopoulos . Eigenvalue assignment of linear multivariable 2-D systems. Proc. IEE , 12 , 1204 - 1208
    8. 8)
      • D.E. Dudgeon . Fundamentals of digital array processing. Proc. IEEE , 898 - 904
    9. 9)
      • M. Athans . The matrix minimum-principle. Inf. & Control , 592 - 606
    10. 10)
      • P.N. Paraskevopoulos . Exact model-matching of 2-D systems via state feedback. J. Franklin Inst. , 495 - 486
    11. 11)
      • S.Y. Kung , B.C. Levy , M. Morf , T. Kailath . New results in 2-D systems theory. Part I: 2-D polynomial matrices,factorization and comprimeness. Part II: 2-D state space models-realization and the notions of controllability and minimality. Proc. IEEE , 861 - 872
    12. 12)
      • G.A. Maria , M.M. Fahmy . Limit cycle oscillations in a cascade and systems. Proc. IEEE , 826 - 830
    13. 13)
      • D.G. Rom , P.E. Sarachik . Further results on the design of optimal compensators. Int. J. Control. , 181 - 186
    14. 14)
      • P. Stavroulakis , P.E. Sarachik . Low sensitivity feedback gains for deterministic and stochastic control systems. Int. J. Control. , 15 - 31
    15. 15)
      • A.S. Willsky . Relationships between digital signal processing and control and estimation theory. Proc. IEEE , 996 - 1017
    16. 16)
      • P.N. Paraskevopoulos , P. Stavroulakis . Decoupling linear multivariable two-dimensional systems via state feedback. IEE Proc.D, Control Theory & Appl. , 1 , 15 - 20
    17. 17)
      • Loh, N.K., Watanabe, K.: `Two dimensional least-square observer for image restoration', TR-80-09-110, Technical report, September 1980.
    18. 18)
      • R.M. Mersereau , D.E. Dudgeon . Two-dimensional digital filtering. Proc. IEEE , 610 - 623
    19. 19)
      • Stavroulakis, P., Paraskevopoulos, P.N.: `Reduced order feedback law implementation for 2-D digital systems', Proceedings of first European signal processing conference, 1980, p. 403–408, and Int. J. Syst. Sc. to be published.
    20. 20)
      • Paraskevopoulos, P.N., Kosmidou, O.I.: `Exact model-matching of two-dimensional systems using PID controllers', Proceedings of second international conference on information sciences and systems, July 1979, Greece, University of Patras, 11, p. 210–217.
    21. 21)
      • J.L. Shanks , S.T. Treitel , J.H. Justice . Stability and synthesis of two-dimensional recursive filters. IEEE Trans. , 115 - 128
    22. 22)
      • Multidimensional systems. Proc. IEEE , 6
    23. 23)
      • Athans, M., Schweppe, F.C.: `Gradient matrices and matrix calculations', MIT Lincoln Laboratory technical note 1965–53, .
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-d.1982.0042
Loading

Related content

content/journals/10.1049/ip-d.1982.0042
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address