×

Application of a subspace model identification technique to identify LTI systems operating in closed-loop. (English) Zbl 0850.93173


MSC:

93B30 System identification
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Anderson, B. D.O.; Gevers, M., Identifiability of linear stochastic systems operating under linear feedback, Automatica, 18, 195-213 (1982) · Zbl 0496.93067
[2] Aoki, M., (State Space Modeling of Time Series (1987), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0606.62102
[3] Bongers, P. M.M.; Bosgra, O. H., Low order robust \(H_∞\) controller synthesis, (Proc. 29th IEEE Conf. Decision and Control. Proc. 29th IEEE Conf. Decision and Control, Hawaii (1990)), 194-199
[4] Bretthauer, G.; Heckert, F., A priori identificability of closed loop subsystems for correlated outer signals, (Proc. 9th IFAC/IFORS Symp. Identification and System Parameter Estimation. Proc. 9th IFAC/IFORS Symp. Identification and System Parameter Estimation, Budapest, Hungary (1991)), 815-820
[5] Caines, P. E.; Chan, C. W., Feedback between stationary stochastic processes, IEEE Trans. Aut. Control, 20, 498-508 (1975) · Zbl 0312.60018
[6] Caines, P. E.; Chan, C. W., Estimation, identification and feedback, (Mehra, R. K.; Lainiotis, D. G., System Identification: Advances and Case Studies, Vol. 126 (1976), Academic Press: Academic Press New York), 349-405
[7] Francis, B. A., A course in \(H_∞\) control theory, (Lecture Notes in Control and Information Sciences (1987), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0624.93003
[8] Glover, K., All optimal Hankel norm approximations of linear multivariable systems and their \(L_∞\)-error bounds, Int. J. Control, 39, 1115-1193 (1990) · Zbl 0543.93036
[9] Gustavsson, I.; Ljung, L.; Söderström, T., Identification of processes in closed loop—identifiability and accuracy aspects, Automatica, 13, 59-75 (1977) · Zbl 0346.93012
[10] Hakvoort, R., Approximate identification in the controller design problem, (Master Thesis. Master Thesis, Mech. Eng., A-538 (1990), Delft University of Technology, Measurement and Control Theory Section) · Zbl 0767.93014
[11] Ho, B. L.; Kalman, R. E., Effective construction of linear, state-variable models from input/output functions, Regelungstechnik, 14, 545-548 (1966) · Zbl 0145.12701
[12] Kailath, T., (Linear Systems (1980), Prentice-Hall: Prentice-Hall NJ) · Zbl 0458.93025
[13] van der Klauw, A. C.; Verhaegen, M.; van den Bosch, P., State space model identification of closed loop systems, (Proc. 30th IEEE Conf. Decision and Control. Proc. 30th IEEE Conf. Decision and Control, Brighton, U.K. (1991)), 1327-1332
[14] Larimore, W., Canonical variate analysis in identification, filtering and adaptive control, (Proc. 29th IEEE Conf. Decision and Control. Proc. 29th IEEE Conf. Decision and Control, Hawaii (1990)), 596-604
[15] Ljung, L., (System Identification: Theory for the User (1987), Prentice-Hall: Prentice-Hall N.J) · Zbl 0615.93004
[16] Ljung, L., (System Identification Toolbox for use with MATLAB (1991), Manual of The MathWorks Inc: Manual of The MathWorks Inc Natick, MA)
[17] Moler, C.; Little, J.; Bangert, S., (PRO-MATLAB User’s Guide (1987), The MathWorks Inc: The MathWorks Inc Natick, MA)
[18] Phadke, M. S.; Wu, S. M., Identification of multiinput-multioutput transfer function and noise model of a blast furnace from closed-loop data, IEEE Trans. Aut. Control, 19, 944-951 (1974)
[19] Schrama, R. J.P., An open-loop solution to the approximate closed-loop identification problem, (Proc. 9th IFAC/IFORS Symp. Identification and System Parameter Estimation. Proc. 9th IFAC/IFORS Symp. Identification and System Parameter Estimation, Budapest, Hungary (1991)), 1602-1607
[20] Söderström, T.; Stoica, P., (System Identification (1989), Prentice-Hall: Prentice-Hall N.J) · Zbl 0714.93056
[21] Verhaegen, M., A novel non-iterative MIMO state space model identification technique, (Proc. 9th IFAC/IFORS Symp. Identification and System Parameter Estimation. Proc. 9th IFAC/IFORS Symp. Identification and System Parameter Estimation, Budapest, Hungary (1991)), 1453-1458
[22] Verhaegen, M., Subspace model identification. Part III: analysis of the ordinary output-error state space model identification algorithm, Int. J. Control, 57 (1993), in press · Zbl 0782.93030
[23] Verhaegen, M.; Deprettere, E., Subspace model identification, (Deprettere, E. F.; van der Veen, A. J., Algorithms and Parallel VLSI Architectures, Vol. II (1991), North-Holland: North-Holland Amsterdam), 13-32 · Zbl 0759.93025
[24] Verhaegen, M.; Dewilde, P., Subspace model identification. Part I: the output-error state space model identification class of algorithms, Int. J. Control, 56, 1187-1210 (1992) · Zbl 0772.93020
[25] Verhaegen, M.; Dewilde, P., Subspace model identification. Part II: analysis of the elementary output-error state space model identification algorithm, Int. J. Control, 56, 1211-1241 (1992) · Zbl 0772.93021
[26] Xiaode, Y.; Verhaegen, M., A subspace identification solutions to the ensemble identification problem with an application to a biomedical system, (Internal Report, N92.23 (1992), Delft University of Technology)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.