| Title:
|
Input and output decoupling zeros of linear periodic discrete-time systems (English) |
| Author:
|
Grasselli, Osvaldo Maria |
| Author:
|
Longhi, Sauro |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
27 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
202-212 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B25 |
| MSC:
|
93C05 |
| MSC:
|
93C55 |
| idZBL:
|
Zbl 0746.93059 |
| idMR:
|
MR1116834 |
| . |
| Date available:
|
2009-09-24T18:24:58Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125812 |
| . |
| Reference:
|
[1] S. Bittanti P. Colaneri, G. Guardabassi: Analysis of the periodic Lyapunov and Riccati equátions via canonical decomposition.SIAM J. Control Optim. 24 (1986), 1138-1149. MR 0861091 |
| Reference:
|
[2] S. R. Hall, N. M. Werely: Generalized Nyquist stability criterion for linear time periodic systems.Proc. of the American Control Conference vol. 2 (1990), 1518-1525. |
| Reference:
|
[3] Y. C. Juan, P. T. Kabamba: Simultaneous pole assignment in linear periodic systems by constrained structure feedback.IEEE Trans. Automat. Control 34 (1989), 168-173. Zbl 0676.93020, MR 0975577 |
| Reference:
|
[4] H. Kano, T. Nishimura: Controllability, stabilizability and matrix Riccati equations for periodic systems.IEEE Trans. Automat. Control 30 (1985), 1129-1131. Zbl 0577.93004, MR 0810315 |
| Reference:
|
[5] J. A. Richards: Analysis of Periodically Time-Varying Systems.Springer-Verlag, Berlin - Heidelberg-New York 1983. Zbl 0503.34002 |
| Reference:
|
[6] S. Bittanti: Deterministic and stochastic linear periodic systems.In: Time Series and Linear Systems (S. Bittanti, ed.), Springer-Verlag, Berlin -Heidelberg-New York 1986, pp. 141-182. MR 0897824 |
| Reference:
|
[7] S. Bittanti, P. Bolzern: Discrete-time linear periodic systems: gramiam and modal criteria for reachability and controllability.Internat. J. Control 41 (1985), 4, 909-928. MR 0792917 |
| Reference:
|
[8] P. Colaneri: Discrete-time linear periodic systems: stabilization and zero error regulation.Preprints of the 11th IFAC World Congress, Tallinn, Estonia (SU), vol. 2 (1990), 144- 149. MR 1068922 |
| Reference:
|
[9] O. M. Grasselli: A canonical decomposition of linear periodic discrete-time systems.Internat. J. Control 40 (1984), 1, 201-214. Zbl 0546.93010, MR 0750419 |
| Reference:
|
[10] O. M. Grasselli: Dead-beat observers of reduced order for linear periodic discrete-time systems with inaccessible inputs.Internat. J. Control 40 (1984), 4, 731 - 745. Zbl 0547.93030 |
| Reference:
|
[11] O. M. Grasselli, F. Lampariello: Dead-beat control of linear periodic discrete-time systems.Internat. J. Control 33 (1981), 6, 1091-1106. Zbl 0464.93056, MR 0624173 |
| Reference:
|
[12] O. M. Grasselli, S. Longhi: Output dead-beat controllers and function dead-beat observers for linear periodic discrete-time systems.Internat. J. Control 43 (1986), 2, 517-537. Zbl 0583.93044, MR 0825659 |
| Reference:
|
[13] O. M. Grasselli, S. Longhi: Disturbance localization with dead-beat control for linear periodic discrete-time systems.Internat. J. Control 44 (1986), 5, 1319-1347. Zbl 0602.93027, MR 0858932 |
| Reference:
|
[14] O. M. Grasselli, S. Longhi: Linear function dead-beat observers with disturbance localization for linear periodic discrete-time systems.Internat. J. Control 45 (1987), 5, 1603-1627. Zbl 0622.93042, MR 0890402 |
| Reference:
|
[15] O. M. Grasselli, S. Longhi: Disturbance localization by measurement feedback for linear periodic discrete-time systems.Automatica 24 (1988), 3, 375 - 385. Zbl 0653.93033, MR 0947377 |
| Reference:
|
[16] O. M. Grasselli, S. Longhi: Eigenvalue assignment for linear periodic discrete-time non-reachable systems.Proceedings of the IEEE Internat. Conference on Control and Applications, Jerusalem (Israel), 1989, paper no. RA-2-4. |
| Reference:
|
[17] O. M. Grasselli, S. Longhi: Robust tracking and regulation of linear periodic discrete- time systems.Rep. 89.08, Dipartimento di Ingegneria Elettronica, Seconda Universita di Roma ,,Tor Vergata'' 1989. |
| Reference:
|
[18] O. M. Grasselli, S. Longhi: Algebraic-geometric techniques for linear periodic discrete- time systems.In: Realization and Modelling in System Theory, Proc. of the Internat. Symp. on the Mathem. Theory of Networks and Systems (MTNS-89), Amsterdam (M. A. Kaashoek, J. H. van Schuppen and A. C. M. Ran, eds.), Birkhauser, Boston 1990, pp. 189-198. Zbl 0726.93025, MR 1115330 |
| Reference:
|
[19] O. M. Grasselli, S. Longhi: The geometric approach for linear periodic discrete-time systems.Linear Algebra Appl. (1991) (to appear). Zbl 0758.93044, MR 1126434 |
| Reference:
|
[20] O. M. Grasselli, S. Longhi: Pole placement for non-reachable periodic discrete-time systems.Math. Control Signals Systems (1991) (to appear). MR 1128264 |
| Reference:
|
[21] M. Kono: Eigenvalue assignment in linear periodic discrete-time systems.Internat. J. Control 32 (1980), 1, 149-158. Zbl 0443.93044, MR 0580197 |
| Reference:
|
[22] S. Longhi A. M. Perdon, G.Conte: Geometric and algebraic structure at infinity of discrete- time linear periodic systems.Linear Algebra Appl. 122/123/124 (1989), 245-271. MR 1019990 |
| Reference:
|
[23] B. Park, E. I. Verriest: Canonical forms on discrete linear periodically time-varying systems and a control application.Proc. of the 28th IEEE Confer, on Decision and Control, Tampa (Florida), 1989, pp. 1220-1225. MR 1038997 |
| Reference:
|
[24] A. M. Perdon G. Conte, S. Longhi: Invertibility and inversion of linear periodic systems.Preprints of the 11th IFAC World Congress, Tallinn, Estonia (SU), vol. 2(1990), pp. 241-244. MR 1166036 |
| Reference:
|
[25] E. L Verriest: The operational transfer function and parametrization of $N$-periodic systems.Proceedings of the 27th IEEE Conference on Decision and Control, Austin (Texas), 1988, ppj 1994-1999. ' |
| Reference:
|
[26] L. Zheng: Discrete-time adaptive control for periodically time-varying systems.Proc. of the IFAC Symposium on Adaptive Systems in Control and Signal Processing, Lund (Sweden), 1986, pp. 131-135. |
| Reference:
|
[27] O. M. Grasselli, S. Longhi: Zeros and poles of linear periodic multivariable discrete-time systems.Circuits Systems Signal Process. 7 (1988), 3, 361 -380. Zbl 0662.93015, MR 0962108 |
| Reference:
|
[28] P. Bolzern P. Colaneri, R. Scattolini: Zeros of discrete-time linear periodic systems.IEEE Trans. Automat. Control 30(1986), 1057-1058. |
| Reference:
|
[29] M. Araki, K. Yamamoto: Multivariable multirate sampled-data systems: state space description, transfer characteristics, and Nyquist criterion.IEEE Trans. Automat. Control 31 (1986), 145-154. MR 0824909 |
| Reference:
|
[30] M. L. Liou, Y. L. Kuo: Exact analysis of switched capacitor circuits with arbitrary inputs.IEEE Trans. Circuits and Systems 26 (1979), 213 - 223. Zbl 0399.94018, MR 0525234 |
| Reference:
|
[31] R. A. Meyer, C. S. Burrus: A unified analysis of multirate and periodically time-varying digital filters.IEEE Trans. Circuits and Systems 22 (1975), 3, 162-168. MR 0392090 |
| Reference:
|
[32] B. A. Francis, T. T. Georgiou: Stability theory for linear time-invariant plants with periodic digital controllers.IEEE Trans. Automat. Control 33 (1988), 9, 820-832. Zbl 0651.93053, MR 0953876 |
| Reference:
|
[33] T. Kaczorek: Pole placement for linear discrete-time systems by periodic output-feedback.Systems Control Lett. 6 (1985), 267-269. MR 0812258 |
| Reference:
|
[34] P. P. Khargonekar K. Polla, A. Tannenbaum: Robust control of linear time-invariant plants using periodic compensation.IEEE Trans. Automat. Control 30(1985), 1088-1096. MR 0810310 |
| Reference:
|
[35] A. V. Olbrot: Robust stabilization of uncertain systems by periodic feedback.Internat. J. Control 45 (1987), 747-758. Zbl 0616.93063, MR 0880270 |
| Reference:
|
[36] J. L. Willems V. Kučera, P. Brunovský: On the assignment of invariant factors by time-varying feedback strategies.Systems Control Lett. 5 (1984), 75 - 80. MR 0775612 |
| Reference:
|
[37] O. M. Grasselli A. Isidori, F. Nicoló: Output regulation of a class of bilinear systems under constant disturbances.Automatica 75 (1979), 189-195. |
| Reference:
|
[38] o. M. Grassselli A. Isidori, F. Nicoló: Dead-beat control of discrete-time bilinear systems.Internat. J. Control 72 (1980), 1, 31 - 39. |
| Reference:
|
[39] o. M. Grasselli, S. Longhi: On the stabilization of a class of bilinear system.Internat. J. Control 37 (1983), 2, 413-420. MR 0694306 |
| Reference:
|
[40] A. G. J. MacFarlane, N. Karcanias: Poles and zeros of linear multivariable systems: a survey of the algebraic, geometric and complex-variable theory.Internat. J. Control 24 (1976), 33-74. Zbl 0374.93014, MR 0418989 |
| Reference:
|
[41] A. S. Morse: Structural invariants of linear multivariable systems.SIAM J. Control 77 (1973), 3, 446-465. Zbl 0259.93011, MR 0386762 |
| Reference:
|
[42] c. B. Schrader, M. K. Sain: Research on system zeros: a survey.Internat. J. Control 50 (1989), 1407-1433. Zbl 0686.93036, MR 1028424 |
| Reference:
|
[43] H. H. Rosenbrock: Comments on "Poles and zeros of linear multivariable systems: a survey of the algebraic, geometric and complex-variable theory".Internat. J. Control 26 (1977), 1, 157-161. Zbl 0374.93015, MR 0490181 |
| Reference:
|
[44] H. H. Rosenbrock: State-Space and Multivariable Theory.Nelson, London 1970. Zbl 0246.93010 |
| Reference:
|
[45] D. S. Evans: Finite-dimensional realizations of discrete-time weighting patterns.SIAM J. Appl. Math. 22 (1972), 1, 45-67. Zbl 0242.93024, MR 0378915 |
| Reference:
|
[46] C T. Chen: Linear System Theory and Design.Holt, Rinehart and Winston, New York 1984. |
| Reference:
|
[47] O. M. Grasselli: Smith-McMillan form from state space representation for non-minimal systems.Ricerche di Automatica 3 (1972), 3, 261 - 279. |
| Reference:
|
[48] O. M. Grasselli, S. Longhi: The finite zero structure of linear periodic discrete-time systems.Internat. J. Systems Sci. (to appear). MR 1128912 |
| Reference:
|
[49] O. M. Grasselli: Controllability and observability of series connections of systems.Ricerche di Automatica 3 (1972), 44- 53. |
| Reference:
|
[50] O. M. Grasselli: Conditions for controllability and reconstructibility of discrete-time linear composite systems.Internat. J. Control 31 (1980), 433-441. Zbl 0433.93006, MR 0570697 |
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