Repeated least squares with inversion and its application in identifying linear distributed-parameter systems

International Journal of Systems Science

Volumn 31, Issue 8, 2000, Pages 1003-1010

  Rafajłowicz, Ewaryst ^a  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FEEDFORWARD NEURAL NETWORKS; ITERATIVE METHODS; LINEAR CONTROL SYSTEMS; OPTIMIZATION; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIAL APPROXIMATION;

MONOTONIC FUNCTIONS;

DISTRIBUTED PARAMETER CONTROL SYSTEMS;

EID: 0034256771     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/002077200412140     Document Type: Article

References (24)

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11. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
12. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
13. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
14. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
15. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
16. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
17. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
18. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
19. Rafajlowicz, E., 1978, Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4, 349-361; 1981, Decomposition of the least squares identification algorithm on the basis of two-stage experiment. Systems Science, 7, 105-109; 1982, Optimal input signals for parameter estimation in linear distributed-parameter systems. 13, 799-808; 1983, Optimal experiment design for identification of linear distributed-parameter systems. IEEE Transactions on Automatic Control 28, 806-808; 1984a, Nonparametric algorithm for input signals identification in static distributed-parameter systems. IEEE Transactions on Automatic Control, 29, 631-633; 1984b, Nonparametric algorithm for identification of weakly nonlinear static distributed parameter systems. Systems and Control Letters, 4, 91-96; 1985, Spectral synthesis of optimal input signals for linear distributed-parameter systems identification. International Journal of Systems Science 16, 667-675; 1986 a, Adaptive input sequence design for linear distributed-parameter systems identification. Large Scale Systems, 11, 43-58; 1986b, Optimum choice of moving sensor trajectories for distributed-parameter system identification. International Journal of Control 43, 1441-1451; 1987, Information equivalence of sensorscontrollers configurations in identification of homogeneous static distributed systems. Proceedings of the IMACS-IFAC International Symposium on Modelling and Simulation of Distributed Parameter Systems, Hiroshima, Japan, 6-9 October 1987 (Hiroshima: Hiroshima Institute of Technology), pp. 553-557); 1991, Nonparametric estimation in distributed systems: selected survey and results on initial state recovery. Proceedings of the Ninth IFAC-IFORS Sympsoium on Identification and System Parameter Estimation, Vol. 1, Budapest, Hungary, 8-12 July 1991 (IFAC-IFORS), pp. 734-739; 1999, Testing homogeneity of coefficients in distributed systems with application to quality control of semiconductors. Preprint, Institute of Engineering Cybernetics, Wroclaw University of Technology.
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