The invariant polynomial assignment problem for linear periodic discrete-time systems

Leopoldo Jetto; Sauro Longhi

Kybernetika (1996)

  • Volume: 32, Issue: 6, page 615-624
  • ISSN: 0023-5954

How to cite

top

Jetto, Leopoldo, and Longhi, Sauro. "The invariant polynomial assignment problem for linear periodic discrete-time systems." Kybernetika 32.6 (1996): 615-624. <http://eudml.org/doc/28518>.

@article{Jetto1996,
author = {Jetto, Leopoldo, Longhi, Sauro},
journal = {Kybernetika},
language = {eng},
number = {6},
pages = {615-624},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The invariant polynomial assignment problem for linear periodic discrete-time systems},
url = {http://eudml.org/doc/28518},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Jetto, Leopoldo
AU - Longhi, Sauro
TI - The invariant polynomial assignment problem for linear periodic discrete-time systems
JO - Kybernetika
PY - 1996
PB - Institute of Information Theory and Automation AS CR
VL - 32
IS - 6
SP - 615
EP - 624
LA - eng
UR - http://eudml.org/doc/28518
ER -

References

top
  1. B. D. O. Anderson, J. B. Moore, Decentralized control using time-varying feedback, In: Control and Dynamic Systems, Vol. 22 (C. T. Leondes, ed.), Academic Press, London 1985, pp. 85-115. (1985) Zbl0850.93042MR0794685
  2. S. Bittanti, Deterministic and stochastic linear periodic systems, In: Time Series and Linear Systems (S. Bittanti, ed.), Springer-Verlag, Berlin 1986. (1986) MR0897824
  3. S. Bittanti P. Colaneri, G. De Nicolao, The difference periodic Riccati equation for the periodic prediction problem, IEEE Trans. Automat. Control AC-33 (1988), 706. (1988) MR0950791
  4. P. Bolzern P. Colaneri, R. Scattolini, Zeros of discrete-time linear periodic systems, IEEE Trans. Automat. Control AC-31 (1986), 1057. (1986) 
  5. P. Colaneri, Output stabilization via pole-placement of discrete-time linear periodic systems, IEEE Automat. Control AC-36 (1991), 739. (1991) MR1119665
  6. P. Colaneri, S. Longhi, The realization problem for linear periodic systems, Automatica 31 (1995), 5, 775-779. (1995) Zbl0822.93019MR1335982
  7. M. A. Dahleh P. G. Voulgaris, L. S. Valavani, Optimal and robust controllers for periodic and multirate systems, IEEE Trans. Automat. Control AC-37 (1992), 1, 90-99. (1992) MR1139618
  8. J. H. Davis, Stability conditions derived from spectral theory: discrete systems with periodic feedback, SIAM J. Control 10 (1972), 1, 1-13. (1972) Zbl0256.93040MR0317819
  9. I. Gohberg M. A. Kaashoek, L. Lerer, Minimality and realization of discrete time-varying systems, Oper. Theory: Adv. Appl. 56 (1992), 261-296. (1992) MR1173922
  10. O. M. Grasselli A. Isidori, F. Nicolò, Output regulation of a class of bilinear systems under constant disturbances, Automatica 15 (1979), 189-195. (1979) 
  11. O. M. Grasselli A. Isidori, F. Nicolò, Dead-beat control of discrete-time bilinear systems, Internat. J. Control 32 (1980), 1, 31-39. (1980) 
  12. O. M. Grasselli, S. Longhi, On the stabilization of a class of bilinear systems, Internat. J. Control 37 (1983), 2, 413-420. (1983) Zbl0497.93031MR0694306
  13. O. M. Grasselli, S. Longhi, Disturbance localization by measurements feedback for linear periodic discrete-time systems, Automatica 24 (1988), 375-385. (1988) MR0947377
  14. O. M. Grasselli, S. Longhi, Zeros and poles of linear periodic discrete-time systems, Circuits Systems Signal Process. 7 (1988), 361-380. (1988) MR0962108
  15. O. M. Grasselli, S. Longhi, Pole-placement for nonreachable periodic discrete-time systems, Math. Control Signals Systems 4 (1991), 439-455. (1991) Zbl0739.93034MR1128264
  16. O. M. Grasselli, S. Longhi, Finite zero structure of linear periodic discrete-time systems, Internat. J. Systems Sci. 22 (1991), 1785-1806. (1991) Zbl0743.93047MR1128912
  17. V. Hernandez, A. Urbano, Pole-placement problem for discrete-time linear periodic systems, Internat. J. Control 50 (1989), 361-371. (1989) Zbl0684.93039MR1014790
  18. T. Kaczorek, Pole placement for linear discrete-time systems by periodic output-feedback, Systems Control Lett. 6 (1985), 267-269. (1985) MR0812258
  19. T. Kaczorek, Invariant factors and pole/variant zero assignments by periodic output-feedback for multivariable systems, In: Preprints of the 10th IFAC Congress, Munich 1987, Vol. 9, pp. 138-143. (1987) 
  20. T. Kaczorek, Linear Control Systems, Volume 2, Research Studies Press LTD, Taunton 1993. (1993) Zbl0784.93003
  21. P. P. Khargonekar K. Poolla, A. Tannenbaum, Robust control of linear time-invariant plants using periodic compensators, IEEE Trans. Automat. Control AC-30 (1985), 1088. (1985) MR0810310
  22. M. Kono, Eigenvalue assignment in linear periodic discrete-time systems, Internat. J. Control 32 (1980), 1, 149-158. (1980) Zbl0443.93044MR0580197
  23. V. Kučera, Discrete Linear Control -- The Polynomial Equation Approach, J. Wiley & Sons, Chichester 1979. (1979) MR0573447
  24. R. A. Mayer, C. S. Burrus, A unified analysis of multirate and periodically time-varying digital filters, IEEE Trans. Circuits and Systems CSA-22 (1975), 162-168. (1975) MR0392090
  25. F. Ohkawa, Model reference adaptive control system for discrete linear time-varying systems with periodically varying parameters and time delay, Internat. J. Control 44 (1986), 171-179. (1986) Zbl0589.93041
  26. B. Park, E. I. Verriest, Canonical forms on discrete linear periodically time-varying systems and a control application, In: Proc. of the 28th IEEE Conf. on Decision and Control, Tampa 1989, 1220-1225. (1989) MR1038997
  27. J. L. Willems V. Kučera, P. Brunovsky, On the assignment of invariant factors by time-varying feedback strategies, Systems Control Lett. 5 (1984), 75-80. (1984) MR0775612

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.