Input and output decoupling zeros of linear periodic discrete-time systems
Kybernetika, Tome 27 (1991) no. 3, pp. 202-212 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 93B25, 93C05, 93C55
@article{KYB_1991_27_3_a4,
     author = {Grasselli, Osvaldo Maria and Longhi, Sauro},
     title = {Input and output decoupling zeros of linear periodic discrete-time systems},
     journal = {Kybernetika},
     pages = {202--212},
     year = {1991},
     volume = {27},
     number = {3},
     mrnumber = {1116834},
     zbl = {0746.93059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1991_27_3_a4/}
}
TY  - JOUR
AU  - Grasselli, Osvaldo Maria
AU  - Longhi, Sauro
TI  - Input and output decoupling zeros of linear periodic discrete-time systems
JO  - Kybernetika
PY  - 1991
SP  - 202
EP  - 212
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/KYB_1991_27_3_a4/
LA  - en
ID  - KYB_1991_27_3_a4
ER  - 
%0 Journal Article
%A Grasselli, Osvaldo Maria
%A Longhi, Sauro
%T Input and output decoupling zeros of linear periodic discrete-time systems
%J Kybernetika
%D 1991
%P 202-212
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/KYB_1991_27_3_a4/
%G en
%F KYB_1991_27_3_a4
Grasselli, Osvaldo Maria; Longhi, Sauro. Input and output decoupling zeros of linear periodic discrete-time systems. Kybernetika, Tome 27 (1991) no. 3, pp. 202-212. http://geodesic.mathdoc.fr/item/KYB_1991_27_3_a4/

[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

[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.

[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. | MR | Zbl

[4] H. Kano, T. Nishimura: Controllability, stabilizability and matrix Riccati equations for periodic systems. IEEE Trans. Automat. Control 30 (1985), 1129-1131. | MR | Zbl

[5] J. A. Richards: Analysis of Periodically Time-Varying Systems. Springer-Verlag, Berlin - Heidelberg-New York 1983. | Zbl

[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

[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

[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

[9] O. M. Grasselli: A canonical decomposition of linear periodic discrete-time systems. Internat. J. Control 40 (1984), 1, 201-214. | MR | Zbl

[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

[11] O. M. Grasselli, F. Lampariello: Dead-beat control of linear periodic discrete-time systems. Internat. J. Control 33 (1981), 6, 1091-1106. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[15] O. M. Grasselli, S. Longhi: Disturbance localization by measurement feedback for linear periodic discrete-time systems. Automatica 24 (1988), 3, 375 - 385. | MR | Zbl

[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.

[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.

[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. | MR | Zbl

[19] O. M. Grasselli, S. Longhi: The geometric approach for linear periodic discrete-time systems. Linear Algebra Appl. (1991) (to appear). | MR | Zbl

[20] O. M. Grasselli, S. Longhi: Pole placement for non-reachable periodic discrete-time systems. Math. Control Signals Systems (1991) (to appear). | MR

[21] M. Kono: Eigenvalue assignment in linear periodic discrete-time systems. Internat. J. Control 32 (1980), 1, 149-158. | MR | Zbl

[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

[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

[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

[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. '

[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.

[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. | MR | Zbl

[28] P. Bolzern P. Colaneri, R. Scattolini: Zeros of discrete-time linear periodic systems. IEEE Trans. Automat. Control 30(1986), 1057-1058.

[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

[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. | MR | Zbl

[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

[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. | MR | Zbl

[33] T. Kaczorek: Pole placement for linear discrete-time systems by periodic output-feedback. Systems Control Lett. 6 (1985), 267-269. | MR

[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

[35] A. V. Olbrot: Robust stabilization of uncertain systems by periodic feedback. Internat. J. Control 45 (1987), 747-758. | MR | Zbl

[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

[37] O. M. Grasselli A. Isidori, F. Nicoló: Output regulation of a class of bilinear systems under constant disturbances. Automatica 75 (1979), 189-195.

[38] o. M. Grassselli A. Isidori, F. Nicoló: Dead-beat control of discrete-time bilinear systems. Internat. J. Control 72 (1980), 1, 31 - 39.

[39] o. M. Grasselli, S. Longhi: On the stabilization of a class of bilinear system. Internat. J. Control 37 (1983), 2, 413-420. | MR

[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. | MR | Zbl

[41] A. S. Morse: Structural invariants of linear multivariable systems. SIAM J. Control 77 (1973), 3, 446-465. | MR | Zbl

[42] c. B. Schrader, M. K. Sain: Research on system zeros: a survey. Internat. J. Control 50 (1989), 1407-1433. | MR | Zbl

[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. | MR | Zbl

[44] H. H. Rosenbrock: State-Space and Multivariable Theory. Nelson, London 1970. | Zbl

[45] D. S. Evans: Finite-dimensional realizations of discrete-time weighting patterns. SIAM J. Appl. Math. 22 (1972), 1, 45-67. | MR | Zbl

[46] C T. Chen: Linear System Theory and Design. Holt, Rinehart and Winston, New York 1984.

[47] O. M. Grasselli: Smith-McMillan form from state space representation for non-minimal systems. Ricerche di Automatica 3 (1972), 3, 261 - 279.

[48] O. M. Grasselli, S. Longhi: The finite zero structure of linear periodic discrete-time systems. Internat. J. Systems Sci. (to appear). | MR

[49] O. M. Grasselli: Controllability and observability of series connections of systems. Ricerche di Automatica 3 (1972), 44- 53.

[50] O. M. Grasselli: Conditions for controllability and reconstructibility of discrete-time linear composite systems. Internat. J. Control 31 (1980), 433-441. | MR | Zbl