Problem statement:The present study investigated with the application of a robust control scheme to improve the performance of a simplified indirect field oriented for small power surface mounted Permanent Magnet (PM) synchronous actuators. Approach: The suggested model was implemented using a simplified state feedback with no need to measure the current values to compute the control algorithm. Results: The current values were estimated by an accurate prediction model estimated from real input/output data. The suggested control scheme was enabling the possibility to perform a position controller by using only a position sensor. Conclusion: The performance of the controller was evaluated and validated by digital simulation using SIMNON package and the usefulness of the suggested method was proved.
In this paper, we study the appearance, evolution and neighbourhood of two attractors of a dynamical system defined by a quadratic polynomial map 2 2The first is a Cantor-type attractor located on an invariant straight line. Thus, it suffices to study the restriction of the map T to this invariant line. The second is a closed curves cycle of period 2. We show, by a numerical approach, that when a parameter of the system varies, the evolution of the orbits in the region close to this second attractor is dependent on the evolution of the stable and unstable sets (homoclinic tangency) of a saddle cycle of period 2 located in this region.
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