Geodesic
A nonlinear approach to a feedback control design for a tracking state-dependent problem. Part~I. An algorithm
Informacionnye tehnologii i vyčislitelnye sistemy, no. 3 (2017), pp. 10-19.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with a nonlinear finite-horizon tracking control design for a plant with an additive linear part and state-dependent coefficients. The tracking problem is reduced to an optimal control problem with terminal payoff where exact and approximate solutions are given. The last one is used in an algorithm for a design of a computationally efficient nonlinear control.
Keywords: tracking problem, nonlinear control, small parameter, state-dependent Riccati equation. 
@article{ITVS_2017_3_a1,
     author = {D. A. Makarov},
     title = {A nonlinear approach to a feedback control design for a tracking state-dependent problem. {Part~I.} {An} algorithm},
     journal = {Informacionnye tehnologii i vy\v{c}islitelnye sistemy},
     pages = {10--19},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ITVS_2017_3_a1/}
}
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D. A. Makarov. A nonlinear approach to a feedback control design for a tracking state-dependent problem. Part~I. An algorithm. Informacionnye tehnologii i vyčislitelnye sistemy, no. 3 (2017), pp. 10-19. http://geodesic.mathdoc.fr/item/ITVS_2017_3_a1/