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The aim of this paper is to present an iterative identification of the plant in the presence of feedback using input-output data, based on the Youla-Kucera parameterisation. When a reduced complexity model is identified then the controller is designed. here the identified model is just a vehicle for the computation of a controller. The proposed iterative algorithm contains suitably selected filters and ensures that the model reduction of the identified model is not necessary as in the standard approach. This iterative approach simplifies the identification task of the Youla-Kucera parameter as only its numerator has to be estimated. an experiment with a continuous stirred tank reactor (CSTR), with represents a non-linear single input -single output (SISO)system, illustrate this feature. LQ controller design is used for stabilisation.
Czasopismo
Rocznik
Tom
Strony
19--31
Opis fizyczny
Bibliogr. 20 poz., rys.
Twórcy
autor
- Department of Process Control, Faculty of Chemical and Food Technology, Slovak University of Technology, Radlinskeho 9, 812 37 Bratislava Slovak Republic
autor
- Department of Process Control, Faculty of Chemical and Food Technology, Slovak University of Technology, Radlinskeho 9, 812 37 Bratislava Slovak Republic
autor
- Department of Process Control, Faculty of Chemical and Food Technology, Slovak University of Technology, Radlinskeho 9, 812 37 Bratislava Slovak Republic
Bibliografia
- [1] B.D.O. Anderson: From Youla-Kucera to identification, adaptive and nonlinear control. Automatica, 34 (1998), 1485-1506.
- [2] I. Bruyne, B.D.O. Anderson and N. Linard: The Hansen scheme revisited. Proc. Of 37th IEEE Conf. on Decision and Control. Tampa. Florida, USA. (1998). 706-711.
- [3] L. Cirka and M. Fikar: Identification Toolbox for Simulink. Technical report KAMF9803. Department of Process Control. CHTF-STU, 1998.
- [4] P. Dostal, A. Meszaros and J. Mikles: A modified LQ tracking problem. Journal of EE, 45 (1994), 129-133.
- [5] J. Dzivak, J. Mikles, S. Kozka, F. Jelenciak and J. Dvoran: Model of a continuous stirred tank reactor. Proc. of 12th Conf. Process Control. Tatranske Matliare. Slovak Republic, (1999), 155-157.
- [6] M. Fikar and J. Mikles: System Identification. STU Bratislava, 1999.
- [7] M. Gevers: Towards a joint design of identification and control. Essays on Control: Perspective in the Theory and its Applications. H.L. Trentelman, J.C. Willems (Eds.). Birkhauser, Boston, 1993, 111-151.
- [8] F.R. Hansen and G.F. Franklin: On a fractional representation approach to closed-loop experiment design. Proc. Am. Control Conf., Atlanta, GA, USA (1988), 1319-1320.
- [9] F.R. Hansen. G.F. Franklin and R. Kosut: Closed-loop identification via fractional representation: experiment design. Proc. Am. Control Conf. Pittsburgh, PA, USA, (1989), 1422-1427.
- [10] L. Keviczky and C. Banyasz: Comparison of different closed-loop parametrization schemes. Proc. of lFAC Conf. on System Identification. Santa Barbara, California, USA, (2000), CD version.
- [11] V. Kucera: Discrete Linear Control: The Polynomial Equation Approach. Wiley Chichester, 1979.
- [12] N. Linard, B.D.O. Anderson and F. Bruyne: Identification of a nonlinear plant under nonlinear feedback using left coprime fractional based representations. Automatica, 35 (1999), 655-667.
- [13] L. Ljung: System Identification: Theory for the Users. Prentice Hall, USA, 1987.
- [14| J. Mikles, H. Unbehauen and U. Keuchel" Entwurf eines adaptiven kontinuierlichen Reglers fuer Mehrgrobenregelstrecken. Automatisierungstechnik, 40 (1992), 333-342.
- [15] R.J.P. Schrama: An open-loop solution to the approximate closed-loop identification problem. Proc. 9th IFAC/IFORS Symp. Identification and System Parameter Estimation. Budapest, Hungary, (1991), 1602-1607.
- [16] R.J.P. Schrama: Approximate Identification and Control Design. PhD thesis. Delft University of Technology: The Netherlands, 1992.
- [17] H. Unbehauen and G.P. Rao: Identification of Continuous Systems. North-Holland, Amsterdam, 1987.
- [18] P.M.J. Van den Hof and R.J.P. Schrama: Identification and control - closed-loop issues. Automatica, 31 (1995), 1751-1770.
- [19] P.M.J. Van den Hof, R.J.P. Schrama, R.A. Callafon and O.H. Bosgra: Identification of normalized coprime plant factors from closed-loop experimental data. European J. Control, 1 (1995), 62-74.
- [20] M. Vidyasagar: Control Systems Synthesis: Factorization Approach. MIT Press: Cambridge, 1985.
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Bibliografia
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bwmeta1.element.baztech-article-BSW3-0007-0002