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Asymptotic tracking for constrained monotone systems

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2 Author(s)
Chisci, L. ; Dept. of Syst. & Comput. Sci., Univ. of Florence, Italy ; Falugi, P.

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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Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 5 )