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Н.Е. Зубов, Е.А. Микрин, В.Н. Рябченко

72

ISSN 0236-3933. Вестник МГТУ им. Н.Э. Баумана. Сер. Приборостроение. 2016. № 4

OUTPUT CONTROL OF LARGE DYNAMIC SYSTEM SPECTRUM

N.E. Zubov

1,2

nezubov@bmstu.ru

Nik

оlay.Zubov@rsce.ru

E.A. Mikrin

1,2

V.N. Ryabchenko

1,2

1

S.P. Korolev Rocket and Space Corporation Energia, Korolev, Moscow Region,

Russian Federation

2

Bauman Moscow State Technical University, Moscow, Russian Federation

Abstract

Keywords

For the most difficult task of controlling a multivariable dynamic

system with representation in state space, where the dimension

of the system output vector is less than the dimension of the state

vector, there is an effective method of output control. In the

conventional formulation, in this case the problem is solved first

by estimating the missing component vector output (synthesis of

dynamic observer), and then by the synthesis of stabilizing con-

trol (synthesis of static feedback). This leads to a substantial

increase in the dimension of the closed system. The developed

method allows the synthesis of control without solving the prob-

lem of estimation of the state vector. The method is based on the

use of a special decomposition of a dynamical system, is the same

for continuous and discrete cases of the description of the model

system, and has no restrictions on algebraic and geometric mul-

tiplicity of defined elements of the spectrum. It allows us to build

an analytical solution and to carry out the parameterization of

the solution set

Decomposition, modal synthesis,

МIМО-system, output vector,

spectrum, output control, large

dynamic system

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