Synthesizing models of nonlinear dynamic objects in concentration on the basis of Volterra-Laguerre structures

Abstract

Purpose. Enhancing energy efficiency and quality of automated control of the technological concentration line, increasing extraction of the useful component into concentrate while processing ironbearing ores of various mineralogical and technological types through developing principles and approaches to distributed optimal control over interrelated processes in concentration production on the basis of the dynamic spacetime model.Methodology. Based on the assumption that final results of concentration plant operation depend on a set of input parameters and results of functioning of interrelated nonlinear dynamic objects, the authors suggest an improved approach to simulating con centration processes for iron ore materials on the basis of VolterraLaguerre structures by using input signals of certain techno logical stages characterizing granulometric composition of processed ore.findings. It is found that while synthesizing models of nonlinear dynamic objects of concentration, it is expedient to apply Volterra structures with the simulation error not exceeding 0.039 under the mean square deviation of 0.0594. Volterra models projected onto orthonormal basis functions enable simplifying parameterization and reducing sensitivity of models to noises. Among other orthonormal functions, Laguerre functions are reasonable to use. All this allows minimizing the number of model parameters in the course of their identification.originality. The method of identifying nonlinear dynamic objects of concentration on the basis of the spacetime Volterra model is improved. This model is different from available ones by its projection onto orthonormal Laguerre basis functions to in crease its robustness to noises.Practical value. Testing results enable deducing efficiency of the spacetime Volterra model in the condition space by means of the Laguerre network, thus increasing accuracy of simulation under noises as compared to the Volterra model through reducing the simulation error by 18.11 % under 40 iterations of identification. The experimental check of identification accuracy by means of the VolterraLaguerre model in the iron content control system in various points of the technological concentration line con firms efficiency of the given method.

Formation of Information Base for Controlling Settlement of Solid-Phase Ore Slurry Particles in a Thickener

“…Taking into account the applied approach and the formed information base, the control algorithm for the thickener can be formulated as an optimisation problem [15,[30][31][32]:…”

Increasing efficiency of iron ore magnetic separation by using ultrasonic technologies

“…Application of ultrasonic technologies to nondestructive control is one of promising methods to enhance efficiency of iron ore concentration, this involving attainment of operative data on technological processes and treatment of ore particles by controlled high-energy ultrasound, in particular, by forming cavitation processes in iron ore slurry [11][12][13].…”