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PI observer stability and application in an induction motor control system

Białoń T., Lewicki A., Pasko M., Niestrój R.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2013

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Vol. 61, nr 3

595--598

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.

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Parameter selection of an adaptive PI state observer for an induction motor

Białoń T., Lewicki A., Pasko M., Niestrój R.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2013

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Vol. 61, nr 3

599--603

EN

The paper discusses problems connected with the parameters selection of the proportional-integral observer, designed for reconstruction of magnetic fluxes and angular speed of an induction motor. The selection is performed in several stages that are focused on different criteria. The first stage consists in selecting observer’s gains and provides desired dynamical properties, taking into consideration immunity to disturbances and parameter variations of observed system. The second stage prevents an observer from DC-offset cumulation and instability. The last stage consists in setting the parameters of a speed adaptation mechanism. The impact of different settings on the properties of an observer is illustrated with experimental results, obtained in the multiscalar control system of an induction motor.

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Badania porównawcze proporcjonalnego i całkującego obserwatora strumieni magnetycznych silnika indukcyjnego

Białoń T., Lewicki A., Pasko M.

Prace Naukowe Politechniki Śląskiej. Elektryka

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2008

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z. 4

91-106

PL

W artykule przedstawiono wyniki badań porównawczych całkującego i proporcjonalnego obserwatora strumieni magnetycznych silnika indukcyjnego. Przedstawiono i porównano modele matematyczne obserwatorów, z uwzględnieniem dla każdego z obserwatorów najważniejszych przyczyn obniżania jakości odtwarzania zmiennych stanu. Jakość działania obydwu obserwatorów oceniono na podstawie jakości działania multiskalarnego układu sterowania, używającego wartości odtworzonych w obserwatorach jako sygnałów sprzężenia zwrotnego.

EN

The paper presents the results of comparative studies of proportional and integral observers of induction motor magnetic fluxes. There are presented and compared the observer mathematical models when taking into consideration the most important reasons for decrease in the state variable reconstruction quality of each observer. The quality of operation of both observers is evaluated basing on the quality of operation of a multiscalar control system which uses the values reconstructed by the observers as feedback signals.