Controllability of periodic systems: Continuous and discrete

IEE Proceedings: Control Theory and Applications

Volumn 151, Issue 4, 2004, Pages 488-490

  Guo, G ^a   Qiao, J F ^b   Han, C Z ^c  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

^b BEIJING UNIVERSITY OF TECHNOLOGY   (China)

^c XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLABILITY; DISCRETE TIME CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; INVARIANCE; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; SET THEORY;

LINEAR PERIODIC SYSTEMS; PERIOD CONTROL; STATE VARIABLES;

TIME VARYING SYSTEMS;

EID: 4344571819     PISSN: 13502379     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-cta:20040527     Document Type: Conference Paper

References (10)

1. Bittanti, S., and Colaneri, P.: 'From singular to nonsingular filtering for periodic systems: Filling the gap with the spectral interactor matrix', IEEE Trans. Circuits Syst. II Analog Digit. Signal Process., 1998, 43, (2), pp. 222-227
2. Bittanti, S., and Colaneri, P.: 'Invariant representations of discrete time periodic systems', Automatica, 2000, 36, pp. 1777-1793
3. Dahleh, M.A., and Vulgaris, P.G.: 'Optimal and robust controllers for periodic and multirate systems', IEEE Trans. Autom. Control, 1992, 37, (1), pp. 90-99
4. Grasselli, O.M., and Longhi, S.: 'Zeros and poles of linear periodic multivariable discrete-time systems', IEEE Trans. Circuits Syst. II Analog Digit. Signal Process., 1988, 7, (1), pp. 16-20
5. Hewer, G.A.: 'Periodicity, detectability and the matrix Riccati equation', SIAM J. Control Optim., 1975, 13, (5), pp. 1235-1251
6. Bittanti, S., Colaneri, P., and Guardabassi, G.: 'H-controllability and observability of linear periodic systems', SIAM J. Control Optim., 1984, 22, (6), pp. 889-893
7. Kreisselmeier, G.: 'On sampling without loss of observability/control-lability', IEEE Trans. Autom. Control, 1999, 44, (5), pp. 1021-1025
8. Brunovsky, P.: 'Controllability and linear closed-loop controls in linear periodic systems', J. Differ. Equ., 1969, 6, (2), pp. 296-313
9. Hou, L., and Michel, A.N.: 'Some qualitative properties of multirate digital control systems', IEEE Trans. Autom. Control, 1997, 42, (4), pp. 765-770
10. Chew, K.K., and Tomizuka, M: 'Digital control of repetitive errors in disk drive systems [J]', IEEE Control Syst. Mag., 1998, 10, (1), pp. 16-20