Abstract

We studied an automatic control system with the fuzzy adaptive device for setting parameters of the PI-controller under conditions of non-stationarity of parameters of the control object’s model. The relevance of present research is in the application of more complex control structures, when it is necessary to achieve small deviations in quality control parameters under conditions of change in the parameters of control model. In contrast to the common circuit when the fuzzy controller is directly included into the main control channel, in the present article we consider a circuit with the fuzzy controller as a unit of adaptation of PI-controller’s parameters. Coefficients of the standard controller are adjusted to the changes of object in real time on the basis of rule base for the fuzzy adaptive device and two input signals: an inconsistency signal and derivative from the inconsistency signal. Mathematical modeling of the designed system was performed. We compared a single-circuit system at constant settings of the controller and the adaptive system for different states of an object that are determined by variable parameters of its model. Parameters of operation quality of both systems were calculated. Application of the fuzzy adaptive device warrants the required stability factor. In this case, high quality of operation of an automatic control system under conditions of parametric non-stationarity of the studied object was preserved.

Highlights

  • The task of control over complex technological objects is often accompanied by difficulties whose existence significantly compromises the quality of control systems when applying classic methods of control

  • As a result of comparative analysis, it can be argued that a single-circuit control system with the fuzzy adaptive device works better than a classic control system with PI-controllers under conditions of parametric non-stationarity

  • Such a conclusion was drawn based on the fact that the fuzzy controller is faster in overcoming disturbances in a control system in cases when oscillatory capacity of the control object increases

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Summary

Introduction

The task of control over complex technological objects is often accompanied by difficulties whose existence significantly compromises the quality of control systems when applying classic methods of control One of such negative factors is the variable dynamics of behavior of control object. At the same time, enabling a stable operation mode, and preferably an optimal regime in terms of energy efficiency, remains one of the greatest challenges All these factors contribute to significant differences between results of modeling the behavior of synthesized automatic regulation systems (ARS) and actual experimental data, obtained during the start-adjustment process. A rule base of the fuzzy controller is built based on the previous experience of control over a target object This makes it possible to take into consideration all peculiarities of a control object (considering parametric non-stationarity) in the process of control influence generation. This ensures the advantage of fuzzy controller in comparison to the classic PI-regulator

Literature review and problem statement
The aim and objectives of the study
Development of the controller with a fuzzy adaptive device
Results of modeling a system with the fuzzy adaptive device
Findings
Conclusions
Full Text
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