Dmitry A. Tomchin

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This paper provides an introduction to several problems and techniques related to controlling periodic motions of dynamical systems. In particular, we define and discuss problems of motion planning and orbit planning, analysis methods such as the classical Poincaré first-return map and the transverse linearization, and exponentially orbitally stabilizing(More)
The switching control algorithm for passing through resonance zone for the two-rotor vibration unit is proposed. The algorithm is based on speed-gradient method and leads to the significant reduction of the required level of the controlling torque. The dynamics of the overall hybrid system and its robustness against changes of spring stiffness, excentricity(More)
The control algorithm for passing through resonance zone for the two-rotor vibration unit is proposed and analyzed by computer simulation. The algorithm is based on speed-gradient method and leads to the significant reduction of the required level of the controlling torque. The algorithm is simple and has only two design parameters, though the system(More)
An approach to control of passing through resonance zone based on speed-gradient energy control of two subsystems (rotor and support) is presented. Two typical problems of passing through resonance for one-and two-dimensional motion of support are posed and analyzed by computer simulation. The control algorithms based on speed-gradient method and averaging(More)
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