Abstract
The problem of controlled passage through resonance zone for mechanical systems with several degrees of freedom is studied. Control algorithm design is based on speed-gradient method and estimate for the frequency of the slow motion near resonance (Blekhman frequency). The simulation results for two-rotor vibration units illustrating efficiency of the proposed algorithms and fractal dependence of the passage time on the initial conditions are presented.
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References
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Acknowledgements
The work was supported by the research program 10 (Mechatronics and Robotics) of Russian Academy of Sciences, Russian Foundation for Basic Research (project 11-08-01218) and Russian Federal Program “Cadres” (agreements 8846, 8855).
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Fradkov, A.L., Tomchin, D.A., Tomchina, O.P. (2014). Controlled Passage Through Resonance for Two-Rotor Vibration Unit. In: Belyaev, A., Irschik, H., Krommer, M. (eds) Mechanics and Model-Based Control of Advanced Engineering Systems. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1571-8_11
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DOI: https://doi.org/10.1007/978-3-7091-1571-8_11
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