Tracking the Solution of a Nonlinear System with Partly Measured Coordinates of the State Vector
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 235-251

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The problem of tracking a solution of a nonlinear system of ordinary differential equations is considered in the case of inaccurate measurement of some of the phase coordinates. A noise-immune solution algorithm for this system is proposed that is based on a combination of constructs from dynamic inversion and guaranteed control theories. The algorithm consists of two blocks: a block of dynamical reconstruction of unmeasured coordinates and a feedback control block.
@article{TM_2019_304_a14,
     author = {V. I. Maksimov},
     title = {Tracking the {Solution} of a {Nonlinear} {System} with {Partly} {Measured} {Coordinates} of the {State} {Vector}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {235--251},
     publisher = {mathdoc},
     volume = {304},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_304_a14/}
}
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V. I. Maksimov. Tracking the Solution of a Nonlinear System with Partly Measured Coordinates of the State Vector. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control and differential equations, Tome 304 (2019), pp. 235-251. http://geodesic.mathdoc.fr/item/TM_2019_304_a14/