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Feedback linearization of an active magnetic bearing system operated with a zero-bias flux

Mystkowski A., Kaparin V., Kotta Ü., Pawluszewicz E., Tõnso M.

International Journal of Applied Mathematics and Computer Science

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2017

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Vol. 27, no. 3

539--548

EN

Input-output linearization by state feedback is applied to a flux-controlled active magnetic bearing (AMB) system, operated in the zero-bias mode. Two models of the AMB system are employed. The first one is described by the third-order dynamics with a flux-dependent voltage switching scheme, whereas the second one is the fourth-order system, called self-sensing AMB, since it does not require the measurement of the rotor position. In the case of that system we had to find the flat outputs to guarantee its stability. The proposed control schemes are verified by means of numerical simulations performed within the Matlab environment.

2

The use of fractional order operators in modelling of RC electrical systems

Ambroziak L., Lewoń D., Pawluszewicz E.

Control and Cybernetics

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2016

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Vol. 45, no. 3

275--288

EN

The present study concerns the analysis of using the integro-diﬀerential fractional operators in the process of modelling of electrical systems. As the object of study, the RC circuit with the ultracapacitor was used. A mathematical model of the super capacitor has been introduced, based on the integro-diﬀerential fractional order operator. Throughout the modelling it was assumed that the ultracapacitor was ideal. The main goal of the work was to carry out the experimental tests. Static and dynamic characteristics of the RC circuit with the ultracapacitor were determined with a prepared laboratory test rig. The obtained experimental results were compared with simulation tests of the ultracapacitor dynamics. The analysis, modelling and the obtained results allowed for the assessment of applicability of the fractional order operators in modelling of electrical systems. The proposed fractional order model yielded more precise description of dynamic properties of the system.

3

Testing of adaptive nonuniform sampling switch algorithm with real-time simulation-in-the-loop

Janczak J., Kondratiuk M., Pawluszewicz E.

Control and Cybernetics

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2016

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Vol. 45, no. 3

317--328

EN

The study is motivated by the considerations concerning implementation of nonuniform sampling regarding the reallife objects. It is shown that nonuniform adaptive sampling switch algorithm can ensure a reduction in the number of taken samples and does not exert negative inﬂuence on the quality of the system control. Experiment was performed with 24VDC permanent magnet motor with encoder as a plant. Signals from the encoder were used for rotational speed calculations. The results of experiment are included.