Synthesis of regulators of dynamic systems based on root mean square optimisation taking into account initial conditions of state variables
Students Name: Biletskyi Roman Olehovych
Qualification Level: master (ESP)
Speciality: Electrical Energetics, Electrical Engineering and Electromechanics
Institute: Institute of Power Engineering and Control Systems
Mode of Study: full
Academic Year: 2019-2020 н.р.
Language of Defence: ukrainian
Abstract: Project relevance. At the moment the problem of creating the convenient methods for feedback quotient value setup for dynamic systems orienting on selected quality criteria is very relevant. In this paper there was studied a synthesis problem of optimal dynamic systems by their minimal value of integral-quadratic criterion, when these systems are described by model of state variables’ equations, and developed the universal method of feedback quotient values’ synthesis. Research objects. The research objects are dynamic systems that are demanded to provide necessary static and dynamic stats being on their turn required by the technological processes, like the direct current drive, for instance. Research subject. Research subject is a dynamic system’s synthesis, based on their initial state variable’s values. Research methods. The methods of conducted research are description of researched systems as variable states models, formation of integral-quadratic criteria, minimization methods, differential equations solving methods and ones for linear polynomial equations, methods of surface plotting in MathCAD, and system modeling methods using MATLAB Simulink software. Primary scientific and applicative achievements, their value. 1. There was a method of dynamic systems’ parameters synthesis being offered, basing on process optimization with taking into account the initial variables values, that are caused by disturbances influencing the system. 2. There was achieved the dynamic feedback quotient correction according to the changes of state variables. 3. There was achieved the creation of algorithm for automatic abovementioned feedback quotient analysis by geometric analysis of surface plots with following shift to single-dimensional optimum search. 4. There was developed an algorithm that allow dynamic feedback correction in real time without the need of significant computational power. 5. Using the developed method there was developed a control system for DC drive control as a two degree system.