Zeros and poles of linear periodic multivariable discrete-time systems

Circuits, Systems, and Signal Processing - Tập 7 Số 3 - Trang 361-380 - 1988
Osvaldo Maria Grasselli1, Sauro Longhi2
1Dipartimento di Ingegneria Elettronica, Seconda Università di Roma ‘Tor Vergata’, Roma, Italy
2Dipartimento di Elettronica e Automatica, Università di Ancona, Ancona, Italy

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B. D. O. Anderson, A note on transmission zeros of a transfer function matrix,IEEE Trans. Automat. Control, vol. 21, no. 4, 589–591, 1976.

S. Bittanti, P. Colaneri, and G. Guardabassi, Periodic solutions of periodic Riccati equations,IEEE Trans. Automat. Control, vol. 29, no. 7, 665–667, 1984.

S. Bittanti, P. Colaneri, and G. Guardabassi,H-controllability and observability of linear periodic systems,SIAM J. Control Optim., vol. 22, no. 7, 889–893, 1984.

S. Bittanti, G. Guardabassi, C. Maffezzoni, and L. Silverman, Periodic systems: controllability and the matrix Riccati equation,Siam J. Control Optim., vol. 16, no. 1, 37–40, 1978.

P. Bolzern, P. Colaneri, and R. Scattolini, Zeros of discrete-time linear periodic systems, Rapporto Interno no. 86-005, Centro di Teoria dei Sistemi, Dipartimento di Elettronica, Politecnico di Milano, 1986.

P. Brunovsky, Controllability and linear closed-loop controls in linear periodic systems,J. Differential Equations, vol. 6, 296–313, 1969.

D. R. Corrall, On the stability of periodically time varying systems,Internat. J. Control, vol. 29, no. 3, 497–504, 1979.

J. H. Davis, Stability conditions derived from spectral theory: discrete systems with periodic feedback,SIAM J. Control Optim., vol. 10, no. 1, 1–13, 1972.

E. J. Davison and S. H. Wang, Properties and calculation of transmission zeros of linear multivariable systems,Automatica, vol. 10, 643–658, 1974.

C. A. Desoer and J. O. Schulman, Zeros and poles of matrix transfer functions and their dynamical interpretation,IEEE Trans. Circuits and Systems, vol. 21, no. 1, 3–8, 1974.

D. S. Evans, Finite-dimensional realizations of discrete-time weighting patterns,SIAM J. Appl. Math., vol. 22, no. 1, 45–67, 1972.

E. R. Ferrara, Frequency-domain implementations of periodically time-varying filters,IEEE Trans. Acoust. Speech Signal Process., vol. 33, no. 4, 883–892, 1985.

B. A. Francis and W. M. Wonham, The role of transmission zeros in linear multivariable regulators,Internat. J. Control, vol. 22, no. 5, 657–681, 1975.

O. M. Grasselli, Smith-McMillan form from state-space representation for non-minimal systems,Ricerche Automat., vol. 3, no. 3, 261–279, 1972.

O. M. Grasselli, A canonical decomposition of linear periodic discrete-time systems,Internat. J. Control, vol. 40, no. 1, 201–214, 1984.

O. M. Grasselli, Dead-beat observers of reduced order for linear periodic discrete-time systems with inaccessible inputs,Internat. J. Control, vol. 40, no. 4, 731–745, 1984.

O. M. Grasselli, A. Isidori, and F. Nicolo′, Output regulation of a class of bilinear systems under constant disturbances,Automatica, vol. 15, 189–195, 1979.

O. M. Grasselli, A. Isidori, and F. Nicolo′, Dead-beat control of discrete-time bilinear systems,Internat. J. Control, vol. 12, no. 1, 31–39, 1980.

O. M. Grasselli and F. Lampariello, Dead-beat control of linear periodic discrete-time systems,Internat. J. Control, vol. 33, no. 6, 1091–1106, 1981.

O. M. Grasselli and S. Longhi, On the stabilization of a class of bilinear systems,Internat. J. Control, vol. 37, no. 2, 413–420, 1983.

O. M. Grasselli and S. Longhi, Output dead-beat controllers and function dead-beat observers for linear periodic discrete-time systems,Internat. J. Control, vol. 43, no. 2, 517–537, 1986.

O. M. Grasselli and S. Longhi, Disturbance localization with dead-beat control for linear periodic discrete-time systems,Internat. J. Control, vol. 44, no. 5, 1319–1347, 1986.

O. M. Grasselli and S. Longhi, Linear function dead-beat observers for linear periodic discrete-time systems with unknown disturbances,Proc. 25th Conf. Decision and Control, Athens, December 1986.

O. M. Grasselli and S. Longhi, Linear function dead-beat observers with disturbance localization for linear periodic discrete-time systems,Internat. J. Control, vol. 45, no. 5, 1603–1627, 1987.

O. M. Grasselli and S. Longhi, Disturbance localization with dead-beat control by measurement feedback for linear periodic discrete-time systems, Preprints of the 10th IFAC Congress, Munich, July 27–31, 1987.

I. H. Herstein,Topics in Algebra, Blaisdell, Waltham, Mass., 1964.

G. A. Hewer, Periodicity, detectability and the matrix Riccati equation,SIAM J. Control Optim., vol. 13, no. 6, 1235–1251, 1975.

M. Kono, Eigenvalue assignment in linear periodic discrete-time systems,Internat. J. Control, vol. 32, no. 1, 149–158, 1980.

T. Kontackos, Ph.D. Thesis, University of Manchester, 1973.

A. G. J. MacFarlane and N. Karcanias, Poles and zeros of linear multivariable systems: a survey of the algebraic, geometric and complex-variable theory,Internat. J. Control, vol. 24, no. 1, 33–74, 1976.

H. E. Meadows, Solution of systems of linear ordinary differential equations with periodic coefficients,Bell System Tech. J., vol. 41, 1275–1295, 1962.

R. A. Meyer and C. S. Burrus, A unified analysis of multirate and periodically time-varying digital filters,IEEE Trans. Circuits and Systems, vol. 22, no. 3, 162–168, 1975.

A. S. Morse, Structural invariants of linear multivariable systems,SIAM J. Control Optim., vol. 11, no. 3, 446–465, 1973.

A. C. Pugh, Transmission and system zeros,Internat. J. Control, vol. 26, no. 2, 315–324, 1977.

A. C. Pugh and P. A. Ratcliffe, On zeros and poles of a rational matrix,Internat. J. Control, vol. 30, no. 2, 213–226, 1979.

H. H. Rosenbrock,State-space and Multivariable Theory, Nelson, London, 1970.

W. A. Wolovich, On determining the zeros of state-space systems,IEEE Trans. Automat. Control, vol. 18, 542–544, 1973.

W. H. Wonham,Linear Multivariable Control: A Geometric Approach, Springer-Verlag, New York, 1979.