Periodic oscillations in pulse-modulated systems

Access Full Text

Periodic oscillations in pulse-modulated systems

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

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(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:
 
 
 
 
 
IEE Proceedings D (Control Theory and Applications) — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

© The Institution of Electrical Engineers
Published

Feedback systems employing pulse-modulated actuators are gaining increasing popularity. In the paper, using the A-locus method, general equations have been obtained to solve for limit cycles of various modes in feedback systems employing σPFM, IPFM and combined pulse modulation (pulse frequency and pulse width). Several theorems have also been presented to find the region of system parameters within which particular oscillations are absent. In addition, some examples have been given to illustrate the results derived, and the solutions have been compared with those obtained by other methods.

Inspec keywords: sampled data systems; limit cycles; closed loop systems; pulse-code modulation

Other keywords: A-locus method; limit cycles; pulsemodulated actuators; feedback systems; IPFM; SIGMA PFM; oscillations

Subjects: Stability in control theory; Discrete control systems

References

    1. 1)
      • V.M. Kuntsevich , Y.N. Chekhovoi . Fundamentals of non-linear control systems with pulse-frequency and pulse-width modulation. Automatica , 73 - 81
    2. 2)
      • E. Noges , P.M. Frank . (1975) , Pulsefrequenzmodulierte regelungssysteme.
    3. 3)
      • M.S. Varadarajan , M.A. Pai . Analysis of feedback systems with combined pulse modulation. Int. J. Control , 465 - 475
    4. 4)
      • M.S. Varadarajan , M.A. Pai . Periodic oscillations in feedback systems with combined pulse modulation. Int. J. Control , 57 - 63
    5. 5)
      • V.M. Kuntsevich , Y.N. Chekhovoi . Stability of control systems with double (pulse frequency and pulse width) modulation. Autom. & Remote Control , 1044 - 1052
    6. 6)
      • N.A. Antonova . Existence of periodic modes in frequency-pulse systems of the second kind. Autom. & Remote Control , 1836 - 1843
    7. 7)
      • T. Pavlidis , E.I. Jury . Analysis of a new class of pulse-frequency modulated feedback systems. IEEE Trans. , 35 - 43
    8. 8)
      • Y.N. Chekhovoi . Pulse frequency systems of second kind and their stability. Autom. & Remote Control , 1810 - 1821
    9. 9)
      • E.I. Jury , T. Nishimura . On the periodic modes of oscillation in pulse-width modulated feedback systems. Trans. ASME , 71 - 84
    10. 10)
      • F.R. Delfeld , G.J. Murphy . Analysis of pulse-width modulated control systems. IRE Trans. , 283 - 292
    11. 11)
      • D.P. Atherton . , Nonlinear control engineering.
    12. 12)
      • M.S. Varadarajan , M.A. Pai . Periodic oscillations in integral pulse frequency-modulated feedback systems. Int. J. Control , 1175 - 1181
    13. 13)
      • Tzafestas, S.G.: `Pulse width and pulse frequency modulated control systems', IMACS conference, 1978, p. 41–48.
    14. 14)
      • V.I. Dymkov . Periodic states in pulse frequency systems. Autom. & Remote Control , 1708 - 1714
    15. 15)
      • E.I. Jury , J.G. Blanchard . A nonlinear discrete system equivalence of integral pulse frequency modulation systems. IEEE Trans. , 415 - 422
    16. 16)
      • Rao, U.M., Atherton, D.P.: `Multi-pulse oscillations in relay systems', Proceedings of the 7th IFAC congress, 1978, Helsinki, p. 1747–1754.
    17. 17)
      • E.A. King-Smith , J.R. Cumpston . Periodic cycles in integral pulse frequency modulation (IPFM) systems. Int. J. Control , 1 - 16
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-d.1981.0023
Loading

Related content

content/journals/10.1049/ip-d.1981.0023
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading