NDLI: Adaptive controllability of the brusselator model with input coupling

Content Provider	IEEE Xplore Digital Library
Author	Tar, J.K. Rudas, I.J. Nadai, L. Kosi, K.
Copyright Year	2012
Description	Author affiliation: John von Neumann Faculty of Informatics, Óbuda University, Budapest, Hungary (Tar, J.K.; Rudas, I.J.; Nadai, L.) \|\| School of Applied Informatics, Óbuda University, Budapest, Hungary (Kosi, K.)
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.
Starting Page	157
Ending Page	162
File Size	580079
Page Count	6
File Format	PDF
ISBN	9781467345200
e-ISBN	9781467345194
e-ISBN	9781467345187
DOI	10.1109/LINDI.2012.6319479
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-09-05
Publisher Place	Slovakia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Adaptation models Stability analysis Mathematical model Chemical reactors Adaptive control Equations Oscillators
Content Type	Text
Resource Type	Article

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