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APPLICATION OF THE FOUR-POLE POINCARE-STEKLOV IN INTERFACE CONSTRUCTION FOR HARDWARE IN THE LOOP SIMULATION
M.N. Maksimov, S.M. Maksimova2022-01-31Abstract ▼The article considers the possibility of using the Poincare-Steklov filter to build an interface
for hardware in the loop (HIL) simulation of system. The Z and Y forms of the filter representation
are given. HIL simulation involves splitting the initial system into parts, with one part being modeled
numerically on a computer, and the second part is represented by a real physical object. The
parts of the system exchange data with each other through a hardware-software interface, which
can be implemented in different ways and should ensure stability, as well as convergence of the
results of HIL simulation to the results of modeling the original system. The variants of constructing
software and hardware interfaces ITM, TLM, TFA, PCD, DIM, GCS and the Poincare-Steklov
filter are described in the relevant literature sources.The article shows how the original nonlinear
system was divided into parts using the Poincare-Steklov filter, which, accordingly, led to the splitting
into parts of the system of equations describing the behavior of the original system. Next, it
was shown how the values of the stabilizing parameters of the Poincare-Steklov filter were calculated
and the systems of equations of the system divided into parts were corrected in accordance
with the obtained values. At the next stage, the article presents the results of numerical modeling
of the initial and partitioned system in MATLAB. When modeling in parts, the parts of the system
exchanged data with each other at each step of the simulation only once with a delay of h. This method of numerical modeling of a system divided into parts is as close as possible to the processes occurring
during semi-natural modeling of systems. A comparison of the obtained simulation results of
the initial and the system divided into parts allowed us to conclude that the Poincare-Steklov filter,
with the correct choice of the values of the stabilizing parameters, allows for the stability and convergence
of the results of semi-natural modeling of both linear and nonlinear systems. -
USING THE FOUR-POLE REPRESENTATION OF THE POINCARE-STEKLOV FILTER FOR HARDWARE IN THE LOOP SIMULATION OF NONLINEAR SYSTEMS
M.N. Maksimov, S.M. Maksimova2022-01-31Abstract ▼The article shows the possibility of using the Poincare-Steklov filter to ensure the stability of
harware in the loop (HIL) simulation of nonlinear systems.HIL simulation involves splitting the
initial system into parts, with one part being modeled numerically on a computer, and the second
part is represented by a real physical object. The parts of the system exchange data with each
other through a hardware-software interface, which can be implemented in different ways and
should ensure stability, as well as convergence of the results of HIL simulation to the results of
modeling the original system. The variants of constructing software and hardware interfaces ITM,
TLM, TFA, PCD, DIM, GCS and the Poincare-Steklov filter are described in the relevant literature
sources. The article shows how the original nonlinear system was divided into parts using the
Poincare-Steklov filter, which, accordingly, led to the splitting into parts of the system of equations
describing the behavior of the original system. Next, it was shown how the values of the stabilizing
parameters of the Poincare-Steklov filter were calculated and the systems of equations of the system
divided into parts were corrected in accordance with the obtained values. At the next stage,
the article presents the results of numerical modeling of the initial and partitioned system in
MATLAB. When modeling in parts, the parts of the system exchanged data with each other at each
step of the simulation only once with a delay of h. This method of numerical modeling of a system
divided into parts is as close as possible to the processes occurring during semi-natural modeling
of systems. A comparison of the obtained simulation results of the initial and the system divided
into parts allowed us to conclude that the Poincare-Steklov filter, with the correct choice of the
values of the stabilizing parameters, allows for the stability and convergence of the results of seminatural
modeling of both linear and nonlinear systems -
DESTRUCTURIZATION OF CRITICAL INFORMATION INFRASTRUCTURE FOR ASSESSING THE INFRASTRUCTURAL STABILITY OF THE SUBJECT OF CRITICAL INFORMATION INFRASTRUCTURE UNDER DESTRUCTIVE INFLUENCES
Е. А. Maksimova, N. P. Sadovnikova2021-11-14Abstract ▼With the adoption of Federal Law No. 187 "On the Security of Critical Information Infrastructure",
the implementation of which in practice is not possible without a comprehensive assessment
of information security (IS) of subjects of critical information infrastructure (SСII).However, the currently existing regulatory documents of regulators do not consider SСII from the
point of view of a systematic approach, the infrastructural component of SСII is not taken into
account when building an information protection system. At the same time, the assessment of IS
SСII without taking into account the effect on the state and behavior of the system of inter-object
and intersubject connections arising in the system leads to an error in the assessment, since the
system itself, under certain conditions, can generate infrastructural destructivism. Thus, the error
in assessing the ISSII arises due to the failure to take into account the indicator of the SСII's inability
to implement its functionality in full under the influence of infrastructure risks, i.e. infrastructural
destructivism. From the point of view of the theory of sustainability, this indicator can
be correlated with the category of “infrastructure sustainability of SСII”. The proposed by the
authors of the study, the model for assessing the infrastructure sustainability (IS) of SСII is presented
1) using the apparatus of cognitive modeling, 2) using the apparatus of the theory of reliability
of technical systems. Within the framework of cognitive modeling, the power of concepts is
set by experts. In the presented study, for this assessment, it is proposed to use the apparatus of
logical-probabilistic modeling, through a clear structuring of the system - SСII. Thus, the assessment
of the infrastructure stability of the SCII is characterized by the possibility of assessing the
probability of no-failure operation of the facilities of the CII and preventing failures in the functioning
of the CII spheres, which guarantees stability and the required level of information security.
In this case, the problem of assessing IS in this case acquires a key character in the comprehensive
assessment of IS SСII. -
ON THE STABILITY OF THE FOUR-POLE POINCARE-STEKLOV FOR SOLVING TASKS OF HARDWARE IN THE LOOP MODELING OF SYSTEMS
М.N. Maksimov, R.V. Sklifus, S.М. Maksimova2023-02-27Abstract ▼The article considers the stability of the Poincare–Steklov filter both from the point of view
of the theory of four-poles and from the point of view of iterative numerical methods for solving a
system of linear algebraic equations. HIL simulation involves splitting the initial system into parts, with one part being modeled numerically on a computer, and the second part is represented by a real
physical object. The parts of the system exchange data with each other through a hardware-software
interface, which can be implemented in different ways and should ensure stability, as well as convergence
of the results of HIL simulation to the results of modeling the original system. The variants of
constructing software and hardware interfaces ITM, TLM, TFA, PCD, DIM, GCS and the Poincare-
Steklov filter are described in the relevant literature sources. At the first stage, the article formulated
in a generalized form the problem of analyzing the stability of a system divided into parts using the
Poincaré-Steklov filter. The parameters of this system are found. At the second stage, the analysis of
the stability of the system divided into parts was carried out both from the point of view of the theory
of quadripoles and numerical methods for solving a system of linear algebraic equations. At the next
stage, the article presents the results of numerical modeling of the initial and partitioned system in
MATLAB. When modeling in parts, the parts of the system exchanged data with each other at each
step of the simulation only once with a delay of h. This method of numerical modeling of a system
divided into parts is as close as possible to the processes occurring during HIL modeling of systems.
A comparison of the obtained simulation results of the initial and fragmented system allowed us to
conclude that the Poincare-Steklov filter, with the correct choice of values of stabilizing parameters,
allows for stability and convergence of the results of HIL modeling of systems, and can also easily
ensure the stability of the results of PHIL modeling.








