Control and Identification in Cognitive Maps with Suppressing Constrained External and Internal Disturbances in Impulse Processes

Abstract

Dynamics of complex systems of different nature is described by mathematical models of impulse processes in cognitive maps (CM). Dynamics model is decomposed into two interrelated difference equations systems for measurable and unmeasurable CM nodes respectively. In the first equations system of the CM model fluctuations of the unmeasurable coordinates are considered as external disturbances. Structure and weighting coefficients of the CM model is previously identified in impulse process mode under incomplete measurements of the CM nodes coordinates. Variations of the CM weights against the identified values are considered as internal disturbances during further exploitation of the complex system. A closed-loop robust control system of the CM impulse process is designed in the report to suppress these constrained internal and external disturbances.