Fractional order adaptive active vibration damping designed on the basis of simple kinematic considerations

J. Tar, I. Rudas, János F. Bitó, J. A. Tenreiro Machado

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

In this paper a simple nonlinear, adaptive control using fractional order derivatives is applied for damping the vibration of a car forced during passing along a bumpy road. Its key idea is the partial replacement of the integer order derivatives in a traditional PD controller with a time-shift invariant, causal approximation of Caputo's fractional derivative that behaves like a Green function. Since its physical essence is rather frequency filtering than providing integer order derivatives in limit cases, the approximation applied numerically is quite convenient. In this way simple kinematic design of the desired damping becomes possible. The adaptive part of the controller guarantees the realization of this kinematic design without making it necessary for the designer to have accurate and complete dynamic model of the system to be controlled or to design a sophisticated linear "CRONE" controller that has to take the responsibility for the unknown dynamics of the system. The applicability of the approach is illustrated via simulations for a paradigm that is a rough model of a car. It was found that both adaptivity and the use of fractional order derivatives in the control are essential parts of the success of the method.

Original languageEnglish
Title of host publicationICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings
EditorsW. Elmenreich, W. Haidinger, J.A.T. Machado
Pages353-357
Number of pages5
Publication statusPublished - 2004
EventICCC 2004 - Second IEEE International Conference on Computational Cybernetics - Vienna, Austria
Duration: Aug 30 2004Sep 1 2004

Other

OtherICCC 2004 - Second IEEE International Conference on Computational Cybernetics
CountryAustria
CityVienna
Period8/30/049/1/04

Fingerprint

Vibrations (mechanical)
Kinematics
Damping
Derivatives
Controllers
Railroad cars
Green's function
Dynamic models

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Tar, J., Rudas, I., Bitó, J. F., & Tenreiro Machado, J. A. (2004). Fractional order adaptive active vibration damping designed on the basis of simple kinematic considerations. In W. Elmenreich, W. Haidinger, & J. A. T. Machado (Eds.), ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings (pp. 353-357)

Fractional order adaptive active vibration damping designed on the basis of simple kinematic considerations. / Tar, J.; Rudas, I.; Bitó, János F.; Tenreiro Machado, J. A.

ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings. ed. / W. Elmenreich; W. Haidinger; J.A.T. Machado. 2004. p. 353-357.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tar, J, Rudas, I, Bitó, JF & Tenreiro Machado, JA 2004, Fractional order adaptive active vibration damping designed on the basis of simple kinematic considerations. in W Elmenreich, W Haidinger & JAT Machado (eds), ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings. pp. 353-357, ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Vienna, Austria, 8/30/04.
Tar J, Rudas I, Bitó JF, Tenreiro Machado JA. Fractional order adaptive active vibration damping designed on the basis of simple kinematic considerations. In Elmenreich W, Haidinger W, Machado JAT, editors, ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings. 2004. p. 353-357
Tar, J. ; Rudas, I. ; Bitó, János F. ; Tenreiro Machado, J. A. / Fractional order adaptive active vibration damping designed on the basis of simple kinematic considerations. ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings. editor / W. Elmenreich ; W. Haidinger ; J.A.T. Machado. 2004. pp. 353-357
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