Методика наближеного синтезу регуляторів за умов забезпечення властивостей робастності

Abstract

The subject of research – Methods, mathematical models, and methods of adjustment of regulators of automatic control systems with controlled changes in the state of power and energy installations based on gas turbine engines. The purpose of this study is to develop and apply a method of approximate synthesis of regulators with robustness properties, in particular, to the most important indicator of the quality of automatic control systems of gas turbine engines, namely stability reserves. The tasks faced by the developers consisted in analytically establishing the robustness conditions of gas turbine engine automatic control systems with respect to stability reserves, determining the possibilities of ensuring the established robustness conditions of gas turbine engine automatic control systems with respect to stability reserves using classical proportional-differential -integral regulators, conducting a computer experiment using a simplified model of a gas turbine engine and an automatic control system with a robust regulator, obtaining conditions and restrictions on the use of regulators with robustness properties. The methods that were used to achieve the established goal of the research: methods of modeling the controlled change in the state of power and energy installations based on gas turbine engines; methods of automatic control theory, in particular methods of sensitivity theory; and methods of conducting computer experiments. The results of the research constitute the proposed and mathematical modeling method of approximate synthesis of regulators possessing the properties of robustness, in particular, to the most important indicator of the quality of automatic control systems of gas turbine engines, namely stability reserves. The conditions and limitations of the fulfillment of the robustness conditions using classical proportional-differential-integral regulators are established. The scientific novelty of the obtained results lies in the fact that for the first time the issue of the sensitivity of stability and quality indicators of gas turbine engine automatic control systems to changes in object parameters was considered, and an approach was proposed to ensure the robustness of such systems with the help of appropriate settings of classical proportional-differential-integral regulators mode parameters of the object. The practical significance of the obtained results lies in the fact that the proposed technique allows finding a set of settings of proportional-differential-integral regulators of mode parameters by controlled change in the state of power and energy installations based on gas turbine engines, which ensure stabilization of sustainability indicators when the object parameters change.