Рассмотрены подходы к решению задач определения степени наблюдаемости, управляемости и идентифицируемости параметров линейных динамических систем. Исследованы численные критерии вычисления степени наблюдаемости, управляемости компонент вектора состояния и степени идентифицируемости конкретных параметров модели динамического объекта с использованием скалярного подхода. Указаны примеры практического использования исследуемых критериев и намечены дальнейшие направления исследований.
The article is devoted to approaches to determination of the degree of observability, controllability and identifiability of the parameters in the linear dynamical systems. Well-known criteria for determination of the observability, controllability and identifiability of the dynamical objects were presented. Those criteria only allow us to determine, which component of the state vector is observable or controllable better. They can only give a relative assessment of the quality of the observability and controllability ofa specific component ofthe state vector ofthe system, whereas, it is impossible to compare the quantitative characteristics of the state variables and parameters in various systems. Numerical criteria for calculation of the degree of observability and controllability of the state variables, as well as the degree of identifiability of the model parameters of the dynamical objects were researched using the scalar methods. The proposed numerical criteria have a clear physical meaning, and are characterized by simplicity and versatility. They allow us to determine the quality of the observability, controllability and identifiability in a scalar form, which can be very convenient for practical applications.
The authors declare that there are no conflicts of interest present.