Cumulant-based identification of noisy closed loop systems

International Journal of Adaptive Control and Signal Processing

Volumn 10, Issue 2, 1996, Pages 303-317

  Delopoulos, Anastasios ^a   Giannakis, Georgios B ^b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b University of Virginia   (United States)

Author keywords

Closed loop systems; Parameter estimation; Recursive estimation; Statistics (cumulants); System identification

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; PARAMETER ESTIMATION; PERFORMANCE; RECURSIVE FUNCTIONS; SIGNAL TO NOISE RATIO; SPURIOUS SIGNAL NOISE; STATISTICAL METHODS;

ADDITIVE NOISE; CUMULANTS; LINEAR EQUATIONS; MEAN SQUARED ERROR;

CLOSED LOOP CONTROL SYSTEMS;

EID: 0030105027     PISSN: 08906327     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1115(199603)10:2/3<303::AID-ACS352>3.0.CO;2-D     Document Type: Article

References (12)

1. Soderstrom, T.t and P. Stoica, System Identification, Prentice-Hall Int., London, 1989, Chap. 10.
2. Gustavsson, I., L. Ljung and T. Soderstrom, 'Identification of processes in closed loop: idemifiability and accuracy aspects', Automatica, 13, 59-75 (1977).
3. Giannakis, G. B., 'Polyspectral and cyclostationary approaches for identification of closed loop systems', IEEE Trans. Automatic Control, in press.
4. Ljung, L., System Identification: Theory for the User, Prentice-Hall, New York, 1987.
5. Deistler, M., 'Linear errors-in-variable models', in Time Series and Linear Systems, Springer, Berlin, 1986, pp. 37-86.
6. Delopoulos, A., and G. B. Giannakis, 'Input design for consistent identification in the presence of I/O noise', Proc. Int. Workshop on Higher-Order Statistics, pp. 33-36, Chamrousse, July 1991.
7. Delopoulos, A., and G. B. Giannakis, 'Strongly consistent identification algorithms and noise insensitive MSE criteria', IEEE Trans. Signal Process. SP-40, 1955-1970 (1992).
8. Delopoulos, A., and G. B. Giannakis, 'Consistent identification of stochastic linear systems with noisy input-output data', Automatica, 30, 1271-1294 (1994).
9. Mendel, J. M., "Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications', 10. Tugnait, J. K. 'Stochastic system identification with noisy input using cumulant statistics', Proc. IEEE, 79,. 278-305 (1991).
10. Tugnait, J. K., 'Stochastic system identification with noisy input using cumulant statistics', IEEE Trans. Automatic Control, ACS-37, 476-485 (1992).
11. Akaike, H. 'On the use of a non-Gaussian process in the identification of a linear dynamic system', Ann. Inst. Stat. Math., 18, 269-276 (1966).
12. Brillinger, D. R., Time Series, Data Analysis and Theory, Holden-Day, San Francisco, CA, 1981.