# Constrained disturbances suppression in cognitive maps’ impulse processes based on H∞ theory under incomplete measurements of vertices coordinates

## DOI:

https://doi.org/10.20535/SRIT.2308-8893.2017.4.13## Keywords:

cognitive map, impulse process, robust control, H∞-theory, incomplete measurements of coordinates, limited perturbations## Abstract

The problem of controlling an impulse process of a cognitive map, provided that some of the coordinates are not measured, is stated and solved in the paper. It is assumed that non-measurable coordinates are limited, but their probabilistic characteristics are unknown. The control algorithm is based on the adaptation of the H_{∞}-theory to the conditions of a complex dynamic system in the impulse process mode of a cognitive map. For this purpose, the system is decomposed into measurable and non-measurable subsystems, a target vector of vertices coordinates to be stabilized is chosen, a measurement equation is introduced, and a robust optimality criterion of control is formulated. The method proposed in the paper is verified for the cognitive map of IT company HR management, which has a large number of non-measurable vertices. Based on the computer simulation, the suitability and effectiveness of applying the proposed control method was demonstrated.

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