Synergetic synthesis of a control system for an object with an extremal static characteristic

Abstract

The development of effective control systems for nonlinear technological processes remains one of the key challenges in modern control theory. Of particular interest are systems for which a complete dynamic model is unavailable, while the static cha-racteristic of the control channel is known and exhibits an extremal nature. In such cases, traditional linear design methods fail to provide satisfactory control performance, necessitating the use of specialized synthesis techniques that account for the structure of the mathematical model and the specific properties of the plant.This paper explores the method of Analytical Design of Aggregated Regulators (ADAR), which enables the synthesis of a control algorithm based on a simplified plant description combining a nonlinear static model and a linear dynamic model. To ensure system stability in the region of the maximum of the static characteristic, a piecewise-constant function is introduced into the control law, allowing the algorithm to adapt to the sign change of the plant’s transfer coefficient.The proposed approach is applied to the control of a chemical reactor. Four variants of control algorithms were synthesized, differing in structure and the inclusion of an integral component. Computational experiments confirmed the operability and effectiveness of the proposed regulators. The results demonstrate that the ADAR method provides a powerful and practical tool for designing control laws for nonlinear systems under conditions of limited information about the plant dynamics.