Asymptotic tracking for constrained monotone systems

This note addresses tracking control of nonlinear discrete-time monotone systems subject to input and state constraints. Forcing saturation on a previously designed controller may, in general, lead to destabilization or, at least, result in constraint violation and performance losses. Hereby, it is...

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Published inIEEE transactions on automatic control Vol. 51; no. 5; pp. 873 - 879
Main Authors Chisci, L., Falugi, P.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.05.2006
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN0018-9286
1558-2523
DOI10.1109/TAC.2006.874994

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Summary:This note addresses tracking control of nonlinear discrete-time monotone systems subject to input and state constraints. Forcing saturation on a previously designed controller may, in general, lead to destabilization or, at least, result in constraint violation and performance losses. Hereby, it is shown that for a certain class of nonlinear monotone systems it is possible to design a static nonlinear output feedback which, saturated among suitable state-dependent bounds, is able to guarantee constraint satisfaction and asymptotic tracking of piecewise constant references, with a moderate online computational burden. Simulation experiments concerning the synthesis of a protein demonstrate the effectiveness of the proposed control strategy.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2006.874994