Synthesis of Robust Linear Stationary Dynamic Systems Based on Improvement of the Controllability and Observability of the Computational Model of the Object

Abstract

An iterative method is developed for the synthesis of control systems of low parametric sensitivity with dynamic (polynomial) controllers, at each step of which singular numbers of controllability and observability gramians are intentionally changed, and a precontroller is formed that transforms the structure of the computational model of an object to increase its controllability and observability, taking into account the available opportunities and limitations. The method of polynomial modal control calculates the parameters of the main controller and evaluates the robust properties of the synthesized system in the given intervals of variation of the internal parameters.