The synthesis of controllers under interval uncertainty

The task of the analysis and synthesis of system of “thyristor converter - engine” in the conditions of interval uncertainty of resistance and inductance of windings, inertia moment, etc. has been solved. Their borders depending on the design features and service conditions are defined. The influence of interval uncertainty on frequency and transitional characteristics of object of management is consid-ered. Taking into account it the method of the solu-tion of the task is mathematical modeling in the en-vironment of MATLAB by means of Control System Toolbox and Robust Control Toolbox was chosen. At the chosen intervals of uncertainty angular speed changes in the range from 6.42 to 14.9 s-1, at nominal - 13.0 s-1. Transition processes is mo-notonous, the object of management is robust steady and most sensitive to change of parameters of the thyristor converter. It is established that the regulators chosen by criterion of modular optimum and ratings of the drive do not provide the set quali-ty indicators: reregulation on current - to 17 %, its speed is up to 60 %, regulation time on current changes from nominal rate from 0.031 to 0.087 s, on speed - from 0.06 to 0.18 s. Transition process-es have oscillatory character. Transition to robust regulators which parameters are chosen by means of function [PeakGain, Uwc] =wcgain (…), allowed reducing reregulation on current to 4.3 %, on speed - to 14 %, thus the time of transition process on speed increased to 0.29 s. Robustness of the sys-tem is provided due to the decrease in its speed in comparison with nominal. The second option is the system with adaptive regulators. It provides the set quality indicators in all range of interval uncertainty by criteria of modular and symmetric optimum.