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\iteman{io-port 06082582}
\itemau{Leon, Blanca S.; Alanis, Alma Y.; Sanchez, Edgar N.; Ruiz-Velazquez, Eduardo; Ornelas-Tellez, Fernando}
\itemti{Inverse optimal neural control for a class of discrete-time nonlinear positive systems.}
\itemso{Int. J. Adapt. Control Signal Process. 26, No. 7, 614-629 (2012).}
\itemab
Summary: A discrete-time inverse optimal trajectory tracking for a class of nonlinear positive systems is proposed. The scheme is developed for MIMO affine discrete-time positive nonlinear systems. This optimal controller is based on discrete time passivity and positive systems theory. The advantage of this scheme is that it avoids solving the associated Hamilton--Jacobi--Bellman equation and minimizes a meaningful cost function. The affine discrete-time positive nonlinear system is obtained from an online neural identifier, which uses a recurrent neural network, trained with the extended Kalman filter. The applicability of the proposed approach is illustrated via simulation by trajectory tracking control of type 1 diabetes mellitus patients.
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\itemut{neural control; neural identification; recurrent neural networks; discrete-time nonlinear positive systems}
\itemli{doi:10.1002/acs.2267}
\end