Time-invariant representation of discrete periodic systems

Automatica

Volumn 32, Issue 2, 1996, Pages 267-272

  Misra, Pradeep ^a  

^a Wright State University   (United States)

Author keywords

Generalized state space systems; Periodic systems; System equivalence

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DISCRETE TIME CONTROL SYSTEMS; EQUIVALENCE CLASSES; INVARIANCE; MATHEMATICAL TRANSFORMATIONS; STATE SPACE METHODS; SYSTEM THEORY; TIME VARYING SYSTEMS;

DISCRETE PERIODIC SYSTEMS; STACKED REPRESENTATION; SYSTEM EQUIVALENCE TRANSFORMATIONS; TIME INVARIANT REPRESENTATION;

CONTROL THEORY;

EID: 0030083999     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(96)85558-0     Document Type: Article

References (23)

1. Araki, M. and K. Yamamoto (1986). Multivariable multirate sampled-data systems: state space description, transfer characteristics, and Nyquist criterion. IEEE Trans. Autom. Control, AC-31, 145-154.
2. Bittanti, S. (Ed.) (1986). Time Series and Linear Systems. Springer-Verlag, Berlin.
3. Callier, F. M. and C. A. Desoer (1991). Linear System Theory. Springer-Verlag, New York.
4. Flamm, D. S. (1991). A new shift-invariant representation of periodic linear systems. Syst. Control Lett., 17, 9-14.
5. Golub, G. H. and C. Van Loan (1989). Matrix Computations, 2nd ed. The Johns Hopkins University Press, Baltimore.
6. Grasselli, O. M. and S. Longhi (1991a). Finite zero structure of linear periodic discrete-time systems. Int. J. Syst. Sci., 22, 1785-1806.
7. Grasselli, O. M. and S. Longhi (1991b). The geometric approach for linear periodic discrete-time systems. Lin. Alg. Applic., 158, 27-60.
8. Grasselli, O. M. and S. Longhi (1991c). Pole placement for non-reachable periodic discrete-time systems. Mathe. Control, Sig. Syst., 4, 439-455.
9. Grasselli, O. M. and A. Tornambè (1992) On obtaining a realization of a polynomial matrix description of a system. IEEE Trans. Autom. Control, AC-37, 852-856.
10. Grasselli, O. M., S. Longhi and A. Tornambè (1992). System equivalence for periodic models and systems. Tech. rept. R-92-03. Dipart. di Ing. Elettronica, Il Università degli Studi di Roma, 'Tor Vergata', Roma, Italy.
11. Grasselli, O. M., S. Longhi and A. Tornambè (1995). On the computation of the time-invariant associated system of a periodic system. In Proc. American Control Conf., Seattle, WA. pp. 574-575.
12. Hench, J. J. and A. J. Laub (1992). An extension of Floquet theory to discrete-time periodic systems. Technical report, CCEC-92-0914, University of California, Santa Barbara.
13. Khargonekar, P. P., K. Poolla and A. Tannenbaum (1985). Robust control of linear time-invariant plants using periodic compensation. IEEE Trans. Autom. Control, AC-30, 1088-1096.
14. Meyer, R. A. and C. S. Burrus (1975). A unified analysis of multirate and periodically time-varying digital filters. IEEE Trans. Circuits Syst., CAS-22, 162-168.
15. Misra, P. and R. V. Patel (1989). Computation of minimal order realizations of generalized state space systems. Circuits, Syst. Sig. Process., 8, 49-70.
16. Park, B. and E. I. Verriest (1989). Canonical forms of discrete linear periodically time-varying systems and a control application. In Proc. 28th IEEE Conf. on Decision and Control, Tampa, FL, pp. 1220-1225.
17. Pernebo, L. A. (1977). Note on strict system equivalence. Int. J. Control, 25, 1-38.
18. Richards, J. A. (1983). Analysis of Periodically Time-varying Systems. Springer-Verlag, Berlin.
19. Rosenbrock, H. H. (1970). State Space and Multivariable Theory. Wiley, New York.
20. Van Dooren, P. and J. Sreedhar (1994). When is a periodic discrete-time system equivalent to a time-invariant one? Lin. Al. Applic., 212/213, 131-151.
21. Verriest, E. I. (1988). The operational transfer function and parametrization of N-periodic systems. In Proc. 27h IEEE Conf. on Decision and Control, Austin, TX, pp. 1994-1999.
22. Verriest, E. I. and J. Kullstam (1995). Realization of discrete-time periodic systems from input-output data. In M. Moonen (Ed.), SVD and Signal Processing. North-Holland, New York.
23. Verriest, E. I. and P. B. Park (1994). Periodic system realization theory with applications. In Proc. 1st IFAC Workshop on New Trends in Design of Control Systems, Smolenice, pp. 356-361.