Abstract

Purpose. The method development of adaptive control of the high-energy ultrasound intensity and frequency, which are formed by means of an ultrasonic phased array. Methodology. The problem of automatic control automation for the ultrasonic oscillations intensity in flotation process using the PID controller, Lyapunov's and gradient methods based on the adaptive control system with a reference model, self-tuning regulator based on the Kaczmarz projection iteration method is considered. The method of adaptive control of the high-energy ultrasound intensity at a given point in space, which is generated by an ultrasonic phased array based on the successive orthogonal projection of the approximation on a hyperplane is developed. Findings. The computer simulation results of the ultrasonic exposure on the pulp flow using adaptive and PID regulators with a given intensity and time of the transient process with a linearly increasing pulp flow rate are shown. The developed method is implemented in software and allows to maintain the desired intensity of ultrasound exposure at a given point of flotation machine space with high accuracy. Originality of the work lies in the fact that a method of adaptive control of the intensity of high-energy ultrasound at a given point in space, formed by using an ultrasonic phased array based on a sequential orthogonal design of the approximation on the hyperplane, has been developed, with error not exceeding 1.2%. Рractical value consists in the development of algorithms and programs for adaptive control of the parameters of the gas phase of the pulp in the process of flotation.

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