Tracking system design for unstable impulse processes in hierarchical cognitive maps of complex systems

Authors

  • Victor D. Romanenko Educational and Scientific Complex "Institute for Applied Systems Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine, Ukraine https://orcid.org/0000-0002-6222-3336
  • Yuriy L. Milyavsky The Department of the mathematical methods of system analysis of Educational and Scientific Complex "Institute for Applied Systems Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine, Ukraine https://orcid.org/0000-0003-0882-3418

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2016.4.01

Keywords:

cognitive map, hierarchical system, tracking system, unstable impulse process

Abstract

The problem of the tracking control in cognitive maps of hierarchical complex systems is considered. Free motion dynamics of a certain hierarchical level is described by an unstable impulse process in a cognitive map. The master control formed on the higher hierarchical level has the step form. The reference model for the characteristic polynomial of the "set point – control error" channel in a closed-loop system is introduced. The control law allowing cognitive map’s output coordinates to track master control changes is found. As an example, we consider the control of commercial bank’s cognitive map of a certain hierarchical level of a banking system. The simulation demonstrates effectiveness of the proposed method.

Author Biographies

Victor D. Romanenko, Educational and Scientific Complex "Institute for Applied Systems Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine

Victor Romanenko,

Doctor of Science, Professor, Vice Director of research and education of Educational and Scientific Complex "Institute for Applied Systems Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine

Yuriy L. Milyavsky, The Department of the mathematical methods of system analysis of Educational and Scientific Complex "Institute for Applied Systems Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine

Yuriy Milyavsky,

Ph.D., Senior Lecturer of Department of the mathematical methods of system analysis of Educational and Scientific Complex "Institute for Applied Systems Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine

References

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Published

2016-12-15

Issue

No. 4 (2016)

Section

Theoretical and applied problems and methods of system analysis

License

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