Adaptive controllability of the brusselator model with input coupling

J. Tar, I. Rudas, Laszlo Nadai, Krisztian Kosi

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

5 Citations (Scopus)

Abstract

For replacing Lyapunov's ingenious but complicated 2nd method in designing adaptive controllers for nonlinear systems the use of Robust Fixed Point Transformations (RFPT) was extensively studied in the past few years mainly for Classical Mechanical Systems (CMS). In spite of the strongly nonlinear coupling that is typical in the Euler-Lagrange equations of motion CMS are simple in the sense that their state variables (i.e. the generalized coordinates and their time-derivatives), driving force or torque components, as well as the tracking error signals are physically well interpreted both in the positive and the negative domains. Furthermore, the time-derivatives of the control forces do not occur in the equations of motion. Therefore simple PIDtype controllers with great feedback gains as well as RFPT-based adaptive ones of smaller feedback gains but of the aptitude for introducing strong nonlinear transient fluctuations after their switching on can successfully deal with such systems. In contrast to CMS Chemical Systems (CS), besides their multiplication and power-type terms in the reaction equations also have further strong nonlinearities due to phenomenological restrictions. Neither negative concentrations, nor negative ingress rates of pure reagents can occur in the case of Continuous Stirring Tank Reactors (CSTR). Such effects were recently investigated by assuming the ingress of very concentrated reagents in the control that do not considerably dilute the other reagents in the CTRS. In this paper the far reaching consequences of this mutual diluting effect are studied. It is shown that the RFPT-based adaptive controller still can be useful but the control strategy has to take far more complicated form.

Original languageEnglish
Title of host publicationLINDI 2012 - 4th IEEE International Symposium on Logistics and Industrial Informatics, Proceedings
Pages157-162
Number of pages6
DOIs
Publication statusPublished - 2012
Event4th IEEE International Symposium on Logistics and Industrial Informatics, LINDI 2012 - Smolenice, Slovakia
Duration: Sep 5 2012Sep 7 2012

Other

Other4th IEEE International Symposium on Logistics and Industrial Informatics, LINDI 2012
CountrySlovakia
CitySmolenice
Period9/5/129/7/12

Fingerprint

Controllability
Controllers
Equations of motion
Derivatives
Feedback
Force control
Nonlinear systems
Torque

ASJC Scopus subject areas

  • Information Systems

Cite this

Tar, J., Rudas, I., Nadai, L., & Kosi, K. (2012). Adaptive controllability of the brusselator model with input coupling. In LINDI 2012 - 4th IEEE International Symposium on Logistics and Industrial Informatics, Proceedings (pp. 157-162). [6319479] https://doi.org/10.1109/LINDI.2012.6319479

Adaptive controllability of the brusselator model with input coupling. / Tar, J.; Rudas, I.; Nadai, Laszlo; Kosi, Krisztian.

LINDI 2012 - 4th IEEE International Symposium on Logistics and Industrial Informatics, Proceedings. 2012. p. 157-162 6319479.

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

Tar, J, Rudas, I, Nadai, L & Kosi, K 2012, Adaptive controllability of the brusselator model with input coupling. in LINDI 2012 - 4th IEEE International Symposium on Logistics and Industrial Informatics, Proceedings., 6319479, pp. 157-162, 4th IEEE International Symposium on Logistics and Industrial Informatics, LINDI 2012, Smolenice, Slovakia, 9/5/12. https://doi.org/10.1109/LINDI.2012.6319479
Tar J, Rudas I, Nadai L, Kosi K. Adaptive controllability of the brusselator model with input coupling. In LINDI 2012 - 4th IEEE International Symposium on Logistics and Industrial Informatics, Proceedings. 2012. p. 157-162. 6319479 https://doi.org/10.1109/LINDI.2012.6319479
Tar, J. ; Rudas, I. ; Nadai, Laszlo ; Kosi, Krisztian. / Adaptive controllability of the brusselator model with input coupling. LINDI 2012 - 4th IEEE International Symposium on Logistics and Industrial Informatics, Proceedings. 2012. pp. 157-162
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