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- A. Shiriaev, Co-chairs G. Leonov, +8 authors D. Tomchin
- 2007

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)

- Dmitry A. Tomchin
- PSYCO
- 2007

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)

- Dmitry Tomchin
- 2006

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 speedgradient energy control of two subsystems (rotor and support) is presented. Two typical problems of passing through resonance for oneand two-dimensional motion of support are posed and analyzed by computer simulation. The control algorithms based on speedgradient method and averaging… (More)

- Alexander L. Fradkov, Dmitry A. Tomchin, Dmitry Chuev
- 2008 IEEE International Conference on Control…
- 2008

A new 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 nonlinear system and its robustness against changes of spring stiffness, excentricity of… (More)

- A Fradkov, D Gorlatov, O Tomchina, D Tomchin
- Chaos
- 2016

Control of oscillations in mechanical systems in the start-up and passage through resonance modes is studied. In both cases, the control algorithm is based on the speed-gradient method with energy-based goal functions. It is shown that for Hamiltonian 1-degree of freedom (DOF) systems, it is generically possible to move the system from any initial state to… (More)

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