Algorithms for synthesis of control systems for dynamic objects based on the modal method

¹ Tashkent State Technical University named after Islam Karimov, 100095, Uzbekistan, Tashkent, University St. 2A
² Navoi State Mining and Technology University, 210100, Uzbekistan, Navoi, St. Galaba, 76V

^* Corresponding author: sevinovjasur@gmail.com

Abstract

Algorithms for the synthesis of control systems for dynamic objects based on the modal method are given. Algorithms have been developed for determining the placement of poles in multidimensional systems with proportional-differential feedback on the output, providing the desired distributions on the complex plane of the eigenvalues of the matrix of a closed system. Algorithms for selecting feedback in control systems of dynamic objects are proposed, which allow for stable identification of the coefficients of the equations of the object and the observed values of the object used in the control device. Adaptive algorithms have been developed to place poles of non-minimal-phase stochastic systems in the presence of white noise at the output, which makes it possible to exclude the operation of matrix inversion, which requires significant computational costs. Adaptive control algorithms based on the modal method have been developed for dynamic objects with a delay under conditions of a priori uncertainty and unsteadiness of technological process parameters, providing exponential dissipativity of the control process. Based on the developed regular algorithms, an adaptive control system for the synthesis of ammonia is proposed.