INFORMATION-ANALYTICAL MODEL FOR A FUZZY PROPORTIONALINTEGRAL-DERIVATIVE CONTROLLER

Abstract

Abstract. Objectives The aim of the study is to create a model allowing us to improve the accuracy of fuzzy control algorithms for complex objects in conditions of uncertainty. Methods An approach of fuzzy representation and comparison of the state parameters of complex objects of control in conditions of uncertainty has been developed. The principle of realisation of information-analytical model of proportional-integral-derivative law of regulation of state parameters of a complex object on the basis of linguistic variables and linguistic functions is proposed. A method for constructing graphs of linguistic functions is developed on the basis of expert data processing using regression analysis methods. Results An information-analytical model for a fuzzy proportional-integral-derivative law is constructed that allows a satisfactory level of accuracy for the regulation of the state parameters of a complex control object in an unstable environment to be achieved. The main drawback of fuzzy algorithms for managing complex objects (low accuracy in regulation of the state parameters of the control object) is identified and major limitations associated with their effective use are analysed. It is shown that one of the most effective means of circumventing the noted shortcoming is the use of the information-analytical model of the proportional-integral-derivative law of the state parameters of a complex object with fuzzy control algorithms used to implement selectable controls. Conclusion The proposed approach allows the proportional, integral and derivative fuzzy laws of regulation to effectively control the state of complex objects under undetermined and unstable operating conditions based on fuzzy control algorithms provided on this basis

Keywords

• complex control object
• fuzzy control algorithm
• linguistic variable
• linguistic function
• fuzzy proportional-integral-derivative control law (pid-controller)