Automation of Impulse Processes Control in Cognitive Maps with Multirate Sampling Based on Weights Varying

  • Victor D. RomanenkoEmail author
  • Yuriy L. Milyavsky
Part of the Understanding Complex Systems book series (UCS)


Automated control systems for multirate impulse processes in cognitive maps are considered. Some coordinates of the cognitive map can be measured and changed with small sampling period while others need longer sampling period. Thus, the impulse process is decomposed into two subsystems described as first-order difference equations systems with different sampling periods. Effects of the fast subsystem on the slow subsystem and vice versa are considered as disturbances which should be suppressed. Control for both subsystems is implemented not via external inputs (i.e. varying resources of the cognitive map) but via map’s edges varying, which means that decision-maker modifies degree of influence of one cognitive map node on another one. Two approaches for control system design are proposed. The first approach is based on invariant ellipsoids method which allows robust stabilization of the system. The second approach is based on generalized variance minimization which allows setting some of the coordinates at predefined levels. Both approaches are verified on the real cognitive map of IT company HR management process.


Impulse Control Processes Multirate Sampling Invariant Ellipsoid Fast Subsystem Human Resources 
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© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute for Applied System AnalysisNational Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”KyivUkraine

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