TY - JOUR

T1 - Stabilization of a Given Set of Equilibrium States of Nonlinear Systems

AU - Smirnov, N. V.

AU - Smirnova, T. E.

AU - Shakhov, Ya. A.

PY - 2012

Y1 - 2012

N2 - The problem of multiprogram stabilization of the given set of equilibrium states in the class of nonlinear time invariant systems is studied. A method for designing multiprogram control based on the idea of interpolation is proposed. Hermite’s interpolation polynomial makes it possible to design a controller that provides the prescribed time invariant modes of operation for the closed-loop system and ensures their asymptotic stability. A theorem on sufficient conditions for the existence of a multi-program control is proved. The results are illustrated by a practical example.

AB - The problem of multiprogram stabilization of the given set of equilibrium states in the class of nonlinear time invariant systems is studied. A method for designing multiprogram control based on the idea of interpolation is proposed. Hermite’s interpolation polynomial makes it possible to design a controller that provides the prescribed time invariant modes of operation for the closed-loop system and ensures their asymptotic stability. A theorem on sufficient conditions for the existence of a multi-program control is proved. The results are illustrated by a practical example.

KW - Динамическая управляемая система

KW - положения равновесия

KW - многопрограммное управление

KW - стабилизация

U2 - 10.1134/S1064230712020128

DO - 10.1134/S1064230712020128

M3 - Article

VL - 51

SP - 169

EP - 175

JO - Journal of Computer and Systems Sciences International

JF - Journal of Computer and Systems Sciences International

SN - 1064-2307

IS - 2

ER -