To the Regulation of Indefinite Nonlinear Dynamic Objects by Continuous Control
Author(s):
Boris Vasilievich Ulanov
Togliatti State University,
Dotsent of the Department of Higher Mathematics and Mathematical Education,
Togliatti, Belorusskaya Street, 14
Candidate of physical and mathematical sciences, dotsent
bv_ulanov@mail.ru
Abstract:
We propose an algorithm for the synthesis of continuous scalar
control that regulates an indefinite nonlinear dynamic object so that
all solutions of the system of differential equations describing a closed system
are bounded and the state vector of the object asymptotically tends to zero.
The object is described by a system of nonlinear ordinary differential equations
with indefinite right-hand sides. The original continuous nonlinear control
decreases the dimension of the problem and introduces a new control function --
adaptive control, which solves the problem of the regulation for a low-order
controlled system. A study of the behavior of the solutions of the closed
system is given.
Keywords
- adaptive control
- continuous control
- equations
- indefinite dynamic object
- order of a object
- regulation
- system of nonlinear ordinary differential
References:
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