PI observer stability and application in an induction motor control system

• Autorzy: Białoń T. , Lewicki A. , Pasko M. , Niestrój R.
• Języki publikacji: EN

Abstrakty

EN

The paper discusses the problem of stability of a proportional-integral Luenberger observer, designated for the state variables reconstruction of a linear, time-invariant dynamical system. It is proven, that there exists such a class of observed systems, for which the observer is always unstable, independently of its gains. Stability can be provided in every possible case after application of proposed modifications to the structure of the observer. It is proven, that stability of the modified observer depends only on its gains. It is shown, that an induction motor is the exemplary observed system, for which application of the unmodified observer is impossible due to its lack of stability, while the modified observer provides proper operation of the control system. Finally, some experimental results are presented, obtained in the multiscalar control system of the induction motor, equipped with the modified proportional-integral observer.

Słowa kluczowe

EN

luenberger observer; induction motor; multiscalar control system

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2013
• Tom: Vol. 61, nr 3
• Strony: 595--598
• Opis fizyczny: Bibliogr. 12 poz., wykr., rys.

Twórcy

autor

Białoń T.

• Institute of Electrical Engineering and Informatics, Silesian University of Technology, 10a Akademicka St., 44-100 Gliwice, Poland

autor

Lewicki A.

• Department of Automatics of Electric Drives, Gdańsk University of Technology, 7 Sobieskiego St., 80-216 Gdańsk, Poland

autor

Pasko M.

• Institute of Electrical Engineering and Informatics, Silesian University of Technology, 10a Akademicka St., 44-100 Gliwice, Poland

autor

Niestrój R.

• Institute of Electrical Engineering and Informatics, Silesian University of Technology, 10a Akademicka St., 44-100 Gliwice, Poland

Bibliografia

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• [3] K.K. Busawon and P. Kabore, “Disturbance attenuation using proportional integral observers”, Int. J. Control 6 (74), 618-627 (2001).
• [4] T. Białoń, “Application of the Luenberger observers to reconstruction of induction motor state variables”, PhD Thesis, Silesian University of Technology, Katowice, 2010, full text available at http://delibra.bg.polsl.pl, (in Polish).
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• [9] H. Kubota, K. Matsuse, and T. Nakano, “DSP-based speed adaptive flux observer of induction motor”, IEEE Trans. onInd. Appl. 2 (29), 344-348 (1993).
• [10] T. Białoń, A. Lewicki, R. Niestroj, and M. Pasko, “Comparison of two methods for parameters selection of the proportional observer of induction motor state variables”, Electrical Review 4b (88), 13-16 (2012), (in Polish)
• [11] Z. Krzemiński, A. Lewicki, and M.Włas, Properties of ControlSystems Based On Nonlinear Models of the Induction Motor, pp. 24-26, EPNC, Poznań, 2004.
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