Control automation of impulse processes in cognitive maps with constrained disturbance suppression based on invariant ellipsoids method

Authors

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

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2017.2.03

Keywords:

cognitive map, linear matrix inequalities, invariant ellipsoid, closed-loop control system, state controller

Abstract

An application of the invariant ellipsoids method to suppress constrained disturbances by means of the incomplete control of dynamic processes in complex systems of different nature, represented by mathematical models of impulse processes in cognitive maps (CM), is investigated. When developing the algorithm for suppressing constrained disturbances, linear matrix inequalities are applied. The dynamics model of CM impulse processes is split into two interrelated systems of difference equations with measurable and unmeasurable coordinates of CM vertices, respectively. Changes in unmeasurable coordinates are considered as constrained disturbances in the first system of equations for CM impulse processes with measurable coordinates.

Author Biographies

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

Victor Romanenko,

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

Yuriy L. Milyavsky, Educational and Scientific Complex "Institute for Applied System Analysis" of National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

Yuriy Milyavsky,

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

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Published

2017-06-26

Issue

Section

Theoretical and applied problems and methods of system analysis