Adaptive VS/SM controller based on robust fixed point transformations

J. K. Tar, I. J. Rudas, J. F. Bitó, J. A. Tenreiro Machado, K. Kozłowski

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

Abstract

The great advantage of the Variable Structure - Sliding Mode controllers is their simplicity, and that they can efficiently work in the possession of a very rough model of the system to be controlled. Instead investing any effort into identifying the precise analytical model of this system they apply well timed bang-bang type control signals in order to drive the "error metrics" near zero during finite time. The effects of modeling errors and unknown external perturbations are compensated by the application of great amplitude for this fluctuation often induce chattering that can be obviated by smoothing these signals normally at the cost of degraded precision of trajectory tracking. The recently proposed adaptive control based on robust fixed point transformations drives the system nearby the kinematically arbitrarily prescribed trajectories by the use local basins of attraction in an iterative learning control also abandoning the identification of the precise model of the system. By the combination of these different approaches efficient adaptive VS/SM controller can be developed that more precisely can trace the desired trajectory kinematically prescribed by the usual relaxation of the error metrics. Chattering can be evaded by decreasing the amplitude of the fluctuating control signal without degrading the tracking precision. This statement is substantiated by simulation results obtained for a simple paradigm.

Original languageEnglish
Title of host publicationProceedings - 2009 International Conference on Intelligent Engineering Systems, INES 2009
Pages51-55
Number of pages5
DOIs
Publication statusPublished - Nov 2 2009
Event2009 International Conference on Intelligent Engineering Systems, INES 2009 - Barbados, Barbados
Duration: Apr 16 2009Apr 18 2009

Publication series

NameProceedings - 2009 International Conference on Intelligent Engineering Systems, INES 2009

Other

Other2009 International Conference on Intelligent Engineering Systems, INES 2009
CountryBarbados
CityBarbados
Period4/16/094/18/09

    Fingerprint

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems
  • Software

Cite this

Tar, J. K., Rudas, I. J., Bitó, J. F., Tenreiro Machado, J. A., & Kozłowski, K. (2009). Adaptive VS/SM controller based on robust fixed point transformations. In Proceedings - 2009 International Conference on Intelligent Engineering Systems, INES 2009 (pp. 51-55). [4924737] (Proceedings - 2009 International Conference on Intelligent Engineering Systems, INES 2009). https://doi.org/10.1109/INES.2009.4924737