Abstract:
We consider a control synthesis problem for nonlinear dynamic systems under parametric uncertainty and bounded measurement noises. Because of bounded disturbances in measurements of the state vector and the nonlinearity in the control object, the initially formulated control synthesis problem for a family of nonlinear systems as a generalized Zubov problem is transformed into a symbiosis of generalized Zubov–Bulgakov problems. The main result of the paper is the analytic solution of a minimax synthesis problem, which yields a constructive method for finding an invariant set.
Citation:
V. M. Kuntsevich, “Control of a family of nonlinear dynamic systems under measurements with bounded disturbances”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 178–186; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 173–181
\Bibitem{Kun14}
\by V.~M.~Kuntsevich
\paper Control of a~family of nonlinear dynamic systems under measurements with bounded disturbances
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 4
\pages 178--186
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 292
\issue , suppl. 1
\pages 173--181
\crossref{https://doi.org/10.1134/S0081543816020140}
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https://www.mathnet.ru/eng/timm1125
https://www.mathnet.ru/eng/timm/v20/i4/p178
This publication is cited in the following 2 articles:
O.V. Voitko, V.G. Solonnіkov, O.V. Polyakova, A.M. Tkachov, “Equations of periodic modes, which take into account features of the dynamics of their course in nonlinear automatic systems with computers in control system”, soi, 2021, no. 1(164), 12
V. M. Kuntsevich, “Bounded perturbations of nonlinear discrete systems: estimation of impact and minimization”, Autom. Remote Control, 80:9 (2019), 1574–1590
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