Memoryless coding scheme based on spherical polar coordinates for control under data rate constraint

Memoryless coding scheme based on spherical polar coordinates for control under data rate constraint

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

Buy article PDF
(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
Your details
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.

Under finite data rate communication constraint, it is difficult at present to determine the precise lower bound of the channel data rate for achieving a control goal using memoryless coding scheme, and it is useful to work out as many memoryless coding schemes as possible for a control task. Based on spherical polar coordinates, the authors propose a new memoryless time varying coding scheme to asymptotically stabilise a discrete linear time invariant system through channel of finite data rate between the sensor and the controller. One attractive property of the authors proposed coding scheme is that a definite relation between quantised data and the corresponding quantisation error is established, which facilitates the analysis of system stability and the determination of data rate. Also, adopting spherical polar coordinates makes the problem of finding the parameters of the quantiser and the controller easy to solve.


    1. 1)
    2. 2)
    3. 3)
      • Hespanha, J., Ortega, A., Vasudevan, L.: `Towards the control of linear systems with minimum bit-rate', Proc. 15th Int. Symp. Mathematical Theory of Networks and Systems, August 2002.
    4. 4)
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
      • Jaglin, J., de Wit, C.C., Siclet, C.: `Delta modulation for multivariable centralized linear networked controlled systems', Proc. 47th IEEE Conf. Decision Control, 2008, p. 4910–4915.
    12. 12)
      • Kameneva, T., Nesic, D.: `Input-to-state stabilization of nonlinear systems with quantized feedback', Proc. 17th IFAC World Congress, 2008, p. 12480–12485.
    13. 13)
    14. 14)
      • Sharon, Y., Liberzon, D.: `Input-to-state stabilization with minimum number of quantization regions', Proc. 46th IEEE Conf. Decision Control, 2007, p. 20–25.
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
    25. 25)
    26. 26)
      • R. Horn , C. Johnson . (1985) Matrix analysis.
    27. 27)
      • E.D. Sontag . Mathematical control theory.

Related content

This is a required field
Please enter a valid email address