Y. E. Danik, M. G. Dmitriev, D. A. Makarov, “An algorithm for constructing regulators for nonlinear systems with the formal small parameter”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2015, Issue 4,Pages <nobr>35

MATHEMATICAL MODELLING AND CONTROL

An algorithm for constructing regulators for nonlinear systems with the formal small parameter

Y. E. Danik^a, M. G. Dmitriev^ab, D. A. Makarov^a

^a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
^b National Research University "Higher School of Economics", Moscow

Abstract: In this paper the problem of designing a stabilizing nonlinear controller for discrete and continuous time nonlinear control systems is considered. The method based on the formal Riccati equation with state-dependent coefficients (SDRE) is used for the construction of a nonlinear stabilizing regulator. Several numerical experiments were carried out to demonstrate the effectiveness of the proposed nonlinear regulator in comparison with the corresponding linear regulator.

Keywords: nonlinear discrete and continuous time systems, nonlinear stabilizing regulator, criteria construction, riccati equations with state-dependent coefficients, inverted pendulum model.