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Vol: 55(69) No: 3 / September 2010 Sensitivity - Identificability Correlation of Dynamical Systems Bratislav Danković Department of Automatics, University of Niš, Faculty of Electronic Engineering, A. Medvedeva 14, 18000 Niš, Republic of Serbia, phone: +38118529360, e-mail: bratislav.dankovic@elfak.ni.ac.rs Dragan Antić Department of Automatics, University of Niš, Faculty of Electronic Engineering, A. Medvedeva 14, 18000 Niš, Republic of Serbia, e-mail: dragan.antic@elfak.ni.ac.rs Zoran Jovanović Department of Automatics, University of Niš, Faculty of Electronic Engineering, A. Medvedeva 14, 18000 Niš, Republic of Serbia, e-mail: zoran.jovanovic@elfak.ni.ac.rs Darko Mitić Department of Automatics, University of Niš, Faculty of Electronic Engineering, A. Medvedeva 14, 18000 Niš, Republic of Serbia, e-mail: darko.mitic@elfak.ni.ac.rs Keywords: correlation, sensitivity, identificability Abstract This paper deals with a correlation between sensitivity and identificability of the continuous and discrete-time systems. First, a method for determining parametric sensitivity is presented and then identification is performed. After that, system identificability is derived directly from the identification error. We established a method for determining the correlation between system sensitivity and identificability. Experiments have confirmed very strong correlation between sensitivity and identificability for continuous as well as for discrete time systems. References [1] B. Danković, D. Antić, and M. Milojković, “System sensitivity and identification error correlation for discrete-time dynamic systems”, ICEST 2005, Niš, Serbia, pp. 583–585, 2005. [2] B. Danković, D. Antić, and Z. Jovanović, Process Identification, Faculty of Electronic Engineering, Niš, 2010. (in Serbian). [3] A. S. Deif, Sensitivity Analysis in Linear Systems, Springer-Verlag, Berlin and Heidelberg, 1986. [4] R. Pintelon and J. Schoukens, System Identification, IEEE Press, New York, 2001. [5] R. Tomović, Sensitivity Analysis of Dynamic Systems, McGraw-Hill, New York, 1983. [6] R. Gumovski, Sensitivity of the Control Systems, Nauka, Moscow, 1993, (in Russian). [7] K. J. Astrom and B. Wittenmark, Computer Controlled Systems: theory and design, Prentice-Hall, 1997. [8] B. Danković, D. Antić, Z. Jovanović and D. Mitić, “On a correlation between sensitivity and identificability of dynamical systems”, Proceedings of the 8th International Conference on Computational Cybernetics and 9th International Conference on Technical Informatics, ICCC-CONTI 2010, Timisoara, Romania, May 27.-29., 2010, pp. 361-366. [9] W. J. Karnavas, P. J. Sanchez, and A. T. Bahill, “Sensitivity analyses of continuous and discrete systems in the time and frequency domains”, IEEE Trans. Sys. Man Cyber., vol. 23, no.2, pp. 408-501, 1993. [10] T. Hinamoto, M. N. Shirazi, and H. Toda, “Minimization of sensitivity for MIMO linear discrete-time systems under scaling constraints”, Int. J. Sys. Scien., vol. 22, no.10, pp. 1729-1741, 1991. [11] H. M. Adelman and R. F. Haftka, “Sensitivity analysis of discrete structural systems”, J. AIAA, vol. 24, no.5, pp. 823-832,1986. [12] R. C. Dorf and R. H. Bishop, Modern Control Systems, Pearson education, London, 2008. [13] R. Tomović and M. Vukobratović, General Sensitivity Theory, Institute “Kirilo Savic”, Beograd, 1969. (in Serbian). [14] P. V. Kokotović, Singular Perturbation Methods in Control: Analysis and Design, Academic Pr., 1987. [15] A. Gutt, Probability: A Graduate Course, Springer-Verlag, 2005. |