Biomorphic control in the problem of active vibration suppression

Authors

  • Aleksandr K. Belyaev Institute of Mekhanical Engineering RAS, Bolshoy pr. V.O., 61, St. Petersburg, 199178, Russian Federation; St.Petersburg State Polytekhnical University, Polytekhnicheskaya ul., 29, St. Petersburg, 195251, Russian Federation;
  • Vitaliy V Kotov St.Petersburg State Polytekhnical University, Polytekhnicheskaya ul., 29, St. Petersburg, 195251, Russian Federation;
  • Vladimir A. Polyanskii Institute of Mekhanical Engineering RAS, Bolshoy pr. V.O., 61, St. Petersburg, 199178, Russian Federation; St.Petersburg State Polytekhnical University, Polytekhnicheskaya ul., 29, St. Petersburg, 195251, Russian Federation;
  • Nina A. Smirnova Institute of Mekhanical Engineering RAS, Bolshoy pr. V.O., 61, St. Petersburg, 199178, Russian Federation; St.Petersburg State Polytekhnical University, Polytekhnicheskaya ul., 29, St. Petersburg, 195251, Russian Federation;

Abstract

The paper addresses an approach that allows the control of elastic objects with a varying number of feed- backs. An algorithm of the control system synthesis based on the spectral decomposition of the distributed elastic object is suggested. The basic assumption is redundancy of the observation vector. Its dimension is assumed to exceed the minimum dimension, which is necessary for observability of the control object. The observability is understood in the sense of finite-dimensional model of the distributed elastic object, which is constructed as the basis of control. The analysis of benefits of the proposed approach is carried out. The approach is demonstrated on example of a simply supported elastic beam subjected to the external harmonic moment. The result of biomorphic suppression of vibrations is compared with that of the control using the multiple local negative feedback loops. It is shown that the biomorphic control enables one to reduce considerably the number of feedback loops without loosing the suppression quality. The sensitivity of the method to accuracy of determination of the model parameters is discussed. Refs 15. Figs 5.

Keywords:

vibration protection, mechatronics, control of elastic objects

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Published

2014-02-01

How to Cite

Belyaev, A. K., Kotov, V. V., Polyanskii, V. A., & Smirnova, N. A. (2014). Biomorphic control in the problem of active vibration suppression. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 1(1), 96–106. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11032

Issue

Section

Mechanics