Abstract:
The theoretical fundamentals for solving the linear quadratic problems may be sometimes used to design the control actions for the nonlinear systems. The method relying on the Riccati equation with state-dependent coefficients is one of the promising and rapidly developing tools for design of the nonlinear controllers. The set of possible suboptimal solutions is generated by the ambiguous representation of the nonlinear system as a linearly structured system with state-dependent coefficients and the lack of sufficiently universal algorithms to solve the Riccati equation also having state-dependent coefficients. The paper proposed a method to design a guaranteed control for the uncertain nonlinear plant with state-dependent parameters. An example of designing the controller for an uncertain nonlinear system was presented.
Presented by the member of Editorial Board:A. L. Fradkov
Citation:
V. N. Afanas'ev, “Control of nonlinear plants with state-dependent coefficients”, Avtomat. i Telemekh., 2011, no. 4, 43–56; Autom. Remote Control, 72:4 (2011), 713–726
Mikhail Dmitriev, Zainelkhriet Murzabekov, Gulbanu Mirzakhmedova, 2021 17th International Asian School-Seminar "Optimization Problems of Complex Systems (OPCS), 2021, 23
Yulia Danik, Mikhail Dmitriev, 2021 14th International Conference Management of large-scale system development (MLSD), 2021, 1
G. K. Shadrin, “Synthesis of a Control Algorithm for Nonlinear Plant Using Correction of Controlled Plant Dynamics and Compensation of Perturbations”, Mehatronika, avtomatizaciâ, upravlenie, 21:12 (2020), 667
Kabanov A.A., Dubovik S.A., International Conference: Information Technologies in Business and Industry, Journal of Physics Conference Series, 1333, eds. Martyushev N., Malozemov B., Faerman V., IOP Publishing Ltd, 2019
Proletarsky A.V., Neusypin K.A., Shen K., Selezneva M.S., Grout V., “Development and Analysis of the Numerical Criterion For the Degree of Observability of State Variables in Nonlinear Systems”, Proceedings of the 2017 7Th International Conference Internet Technologies and Applications (Ita), eds. Picking R., Cunningham S., Houlden N., Oram D., Grout V., Mayers J., AbdAlhameed R., Liggett S., Vag, IEEE, 2017, 150–154
Dmitriev M.G., Makarov D.A., “The Suboptimality of Stabilizing Regulator in a Quasilinear System With State-Depended Coefficients”, IEEE International Siberian Conference on Control and Communications, SIBCON 2016, ed. Stukach O., IEEE, 2016
M. G. Dmitriev, D. A. Makarov, 2016 International Siberian Conference on Control and Communications (SIBCON), 2016, 1
V. N. Afanasev, A. A. Semion, “Regulyator s diskretno izmenyaemymi parametrami”, Probl. upravl., 5 (2014), 14–19
V. N. Andryukhina, V. N. Afanasev, “Garantiruyuschee upravlenie v zadache primeneniya antivirusnykh preparatov i rezultaty matematicheskogo modelirovaniya”, Probl. upravl., 3 (2012), 41–48
Afanasiev V.N., “Guaranteed Control of Feedback Linearizable Nonlinear Object”, 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (Icnpaa 2012), AIP Conference Proceedings, 1493, ed. Sivasundaram S., Amer Inst Physics, 2012, 13–19