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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

• IMPLEMENTATION OF RELATIONAL DEVICES OF DIGITAL SIGNALS MONITORING AND POLLING IN THE FPGA BASIS

  S.А. Panychev, А.I. Panychev, А.V. Maksimov

  270-280

  2025-07-31

  Abstract ▼

  The requirements for modern means of technical control and functional diagnostics of
  equipment for critical applications are formulated, one of which is the processing of diagnostic
  information at a real-time pace. It is noted that for working with digital diagnostic signals, relational monitoring polling devices based on the apparatus of ordinal logic, which gives a significant
  time gain over traditional binary logic, are promising. The hardware implementation of ordinal-
  logical polling devices in the FPGA basis, along with the obvious advantages of the development
  stage, will allow for operational reconfiguration of the internal structure to adapt to the
  changing operating conditions of the control object. The hardware implementation of two known
  devices is considered. A variable priority device is used to identify the sensor that has detected a
  failure or malfunction, with the possibility of setting the sensor number from which the survey will
  begin, and the direction of traversing the sensor tuple. The device of centralized control of a group
  of objects is used to search for an extreme (maximum or minimum) digital diagnostic signal with
  simultaneous determination of the number of the corresponding sensor in one clock cycle of the
  monitoring and diagnostic system. The development of combinational data schemes of monitoring
  survey devices was carried out by means of ISE Design Suite 14.7. The positive results of testing
  the algorithms of the created models are presented, summarized in tables of the states of the inputs
  and outputs of the circuits and illustrated by time diagrams of binary signals at the terminals of
  the circuits. An estimate of the required FPGA resource costs is given, expressed in the number of
  logical elements and user contacts. Also, using the example of low integration devices and the
  most resource-intensive samples, the upper and lower estimates of the number of FPGAs of various
  types of the Xilinx Spartan-6, Xilinx Virtex-4 families and the domestic 5576/5578 series of
  JSC KTC Electronics are given. It is established that with the number of diagnostic sensors up to
  200, depending on the FPGA family, up to 17 low integration chips and up to 7 resource-intensive
  chips are required to implement one monitoring polling device

• METHOD OF AUTOMATIC OPTIMIZATION OF THE FUZZY RULE BASE OF AN INTELLIGENT CONTROLLER BASED ON SUBTRACTIVE CLUSTERING

  А.S. Ignatyeva , V.V. Shadrina , D.S. Ignatyev , А.V. Maksimov

  181-197

  2025-07-24

  Abstract ▼

  The aim of the work is to develop a method for optimizing the fuzzy rule base of an intelligent controller for controlling a technical object using subtractive clustering. The article provides an overview and a brief analysis of the state of affairs in the field of optimizing the operation of intelligent control systems. To achieve the goal of the study, a hybrid model has been developed in which the technical object is controlled using a classical PI controller and a fuzzy PI controller with a generated structure of a Cygeno-type fuzzy inference system and a developed model of an adaptive neuro-fuzzy inference system. This configuration of the model allows you to form a fuzzy rule base that does not depend on the expert's knowledge in the subject area. The article proposes a new method for optimizing the fuzzy controller rule base based on clustering methods, in particular subtractive clustering, which allows you to reduce the number of fuzzy logical inference rules and increase the performance of the technical object control system. First, a hybrid model synthesized on the basis of the values of the fuzzy and classical controllers before applying subtractive clustering was simulated. The application of subtractive clustering according to the method developed in the study for the values of the classical and fuzzy controllers allowed us to achieve their quantitative reduction by 1.7 and 5.25 times, respectively. Then, the hybrid model synthesized on the basis of the values of the fuzzy and classical controllers after applying subtractive clustering was simulated. The results obtained in the process of simulation showed high efficiency of the proposed method for optimizing the fuzzy controller rule base. Due to the application of subtractive clustering in the hybrid model for the intelligent controller, it was possible to significantly reduce the number of membership functions required to describe the input linguistic variables (from five to four) and reduce the number of fuzzy logical inference rules (from twenty-five to sixteen). The analysis of the resulting graphs of transient processes obtained for the hybrid models before and after applying subtractive clustering showed that the main indicators of the quality of the control process remain unchanged with a significant reduction in the calculations performed.

• 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. Maksimova

  2023-02-27

  Abstract ▼

  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.