The use of multiple components fixed point iteration in the adaptive control of single variable systems

Hemza Redjimi, Jozsef K. Tar

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

Abstract

In the practice as e.g., in robotics, life sciences, chemistry, normally strongly nonlinear systems have to be controlled on the basis of imprecise and often partial system models that-in spite of their imperfectness-reveal significant features of the systems under control. In these cases the use of the completely data-driven, 'model-free; approach is not exclusively advantageous, since the a priori information encoded in the available model can be utilized, too. The consequences of the modeling imprecisions can be compensated by the use of either robust or adaptive techniques. The prevailing adaptive approach uses Lyapunov functions that often need complete state estimation that in the lack of the necessary sensors-cannot be executed because of missing information. An alternative approach transformed the control task into a fixed point iteration that can be solved real-Time without the need of complete state estimation. It is a mathematical framework based on Banach's fixed point theorem, and it can be realized by the combination of various components. A solution to multiple variable system was recently published. In the present paper this method is used for single input-single output systems by applying it to shorter time series of the state variable. This structure allows the application of a simple noise filtering technique that is investigated by numerical simulations in the case of the adaptive control of a nonlinear paradigm also containing delay in its model. The results support the idea that this simple noise filtering technique can be useful.

Original languageEnglish
Title of host publicationSISY 2019 - IEEE 17th International Symposium on Intelligent Systems and Informatics, Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages267-272
Number of pages6
ISBN (Electronic)9781728121420
DOIs
Publication statusPublished - Sep 2019
Event17th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2019 - Subotica, Serbia
Duration: Sep 12 2019Sep 14 2019

Publication series

NameSISY 2019 - IEEE 17th International Symposium on Intelligent Systems and Informatics, Proceedings

Conference

Conference17th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2019
CountrySerbia
CitySubotica
Period9/12/199/14/19

Keywords

  • Banach space
  • Fixed point iteration-based adaptive control
  • Measurement noise
  • Modeling errors

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Networks and Communications
  • Hardware and Architecture
  • Information Systems
  • Information Systems and Management

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  • Cite this

    Redjimi, H., & Tar, J. K. (2019). The use of multiple components fixed point iteration in the adaptive control of single variable systems. In SISY 2019 - IEEE 17th International Symposium on Intelligent Systems and Informatics, Proceedings (pp. 267-272). [9111520] (SISY 2019 - IEEE 17th International Symposium on Intelligent Systems and Informatics, Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SISY47553.2019.9111520