Development of optimality criteria for mechatronic systems using fuzzy logic apparatus

Abstract

Currently, the problem to develop the optimality criterion in terms of parametric synthesis of state regulators of mechatronic systems is truly relevant. The optimality criteria developed earlier are based on the use of indirect quality indicators of automatic control systems. These criteria are mostly focused on providing an analytical solution of the synthesis problem than on the real properties of the systems. To consider all the requirements for the system, it is necessary to transfer from indirect optimality criteria to direct ones. It provides a compromise between the main requirements considering the specific features of the system. In this regard, to optimize electromechanical systems it is proposed to use a complex optimality criterion based on the mathematical apparatus of fuzzy logic. As part of the study, state space methods are used to develop a vector-matrix model of an object and synthesize a state controller. The calculation of the optimality criterion according to the determinable quality indicators is based on the mathematical apparatus of fuzzy logic. Development of a fuzzy model is conducted by means of the modeling tools of the Matlab software package. To find the optimal parameters of the regulator search optimization methods are used. A new optimality criterion for mechatronic systems has been developed and studied. It is based on the use of fuzzy logic apparatus, which makes it possible to more fully consider the set of specified technical requirements for their design. The results of the conducted computational experiments have proved the effectiveness of the developed criterion and optimization algorithms. Designers can effectively use the obtained results for parametric optimization to enhance diverse types of mechatronic systems with state controllers.