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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. Maksimova

  2022-01-31

  Abstract ▼

  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. Maksimova

  2022-01-31

  Abstract ▼

  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