Automation and Remote Control最新文献

The article is aimed at developing new algorithms for element-by-element calculation of matrices of direct and inverse gramians for stable continuous linear MIMO LTI systems based on spectral decompositions of gramians in the form of Hadamard products. It is shown that the multiplier matrices in the Hadamard product are invariant under various canonical transformations of linear continuous systems. Spectral decompositions of inverse matrices of gramians of continuous dynamic systems from the spectra of gramian matrices and the original dynamics matrices are also obtained. The properties of the multiplier matrices in spectral decompositions of gramians are studied. Using these results, spectral decompositions of the following energy metrics were obtained: of the volumes of attraction ellipsoids, of the matrix traces of direct and inverse controllability gramians, of the input and output system energies, of the centrality indices of energy controllability metrics and of the average minimum energy. The practical applicability of the results is considered.

Methods and algorithms for obtaining analytical formulas for spectral decompositions of gramians for bilinear multi-connected continuous stationary stable systems with a simple spectrum are developed. A guaranteed limited area of distribution of methods for solving and analyzing linear control systems to a class of bilinear systems is found. New sufficient conditions for BIBO stability of bilinear systems are developed. The obtained spectral decompositions of solutions by the spectrum of the dynamics matrix of the linear part, as well as the spectrum and residues of the images of actions, allow us to estimate their influence on the stability and dynamic characteristics of the bilinear system.

This paper deals with a generalized mathematical model of a controlled belt conveyor with a variable angle between the horizontal and belt planes. The model is defined using a system of four nonlinear differential equations with switching. It includes the linear movement of the conveyor belt, changes in the system momentum, axial and linear friction, the damping of the horizontal position of the conveyor, and the factors of smooth loading and instant unloading of cargo. Stabilization conditions are established for this model considering simulation components related to the nature of loading and unloading modes of the conveyor belt. A PID controller, a neuro-PID controller, and neural network controllers of recurrent and non-recurrent types are designed to control the angular position of the conveyor. Linear velocity control is implemented by introducing a sliding mode. Computational experiments are carried out and given an interpretation. The performance of the controllers mentioned above is comparatively analyzed.

We propose an optimization-simulation method for determining combinations of influences that make it possible to remove an organizational and technical system from a potentially unfavorable state. We demonstrate the solution using the example of the inverse problem of stress testing mature companies in traditional industries of the real sector. A condition for a company to be in a potentially unfavorable state is a projected negative cash balance. To determine changes that improve the forecast, mathematical programming methods solve the problem of maximizing the benefits from such changes—the difference between the predicted cash balance and the costs of changes. The results obtained can be applied when solving issues of stabilization under risk conditions: pandemics, economic sanctions, natural disasters, etc. A model example is given.

In this work, we explore the challenges associated with the formation of satellite measurement datasets for constructing models of Mars’ magnetic field. Several approaches to dataset construction have been proposed and implemented. Using the regional method of S-approximations, analytical approximations of the magnetic field have been developed, and analytical continuations of the field to a uniform selected altitude have been presented. Calculations were performed for an area of Mars that includes the landing sites of the InSight spacecraft and the Chinese rover Zhurong. The modeling was based on datasets derived from calibrated insitu.calibrated level 2 data of the MAVEN mission.

In the paper, we develop a method for studying the time-optimization problem for a linear system with discrete time, which allows, in the general case, to improve known upper estimates of the objective function and to find guaranteeing control processes. We obtain sufficient conditions for convergence to the optimal solution in the problem and implement the method as an effective numerical algorithm.

A model has been constructed that describes the confrontation between two armies, each of which simultaneously contains two types of combat units: with continuous and discrete fire. The structure of the optimal army composition, compiled as a response to the known composition of the enemy army, has been studied. To test the theory, simulations of battles were carried out in a simple strategic game—autobattler.

When extracting oil from reservoirs, the use of active physical and chemical reagents in combination with high-frequency wave oscillations as control actions leads to an increase in the oil recovery factor due to the involvement in the process of displacement of reserves that cannot be recovered by traditional flooding (with the injection of water into injection wells). The article presents results of numerical experiments using a mathematical model of cylindrical waves in the direction of the filtration flow of fluids; the effectiveness of cyclic control wave influences is shown. Complex problems associated with the application of hydrodynamic methods to weakly discontinuous vibrations in an inhomogeneous medium are noted and ways to resolve these problems are indicated. It is shown that the proposed combined methods of control influences on the process of filtration displacement of anomalous and difficult-to-recover oil fractions from oil-saturated porous media of natural deposits provide an increase in the final oil recovery factor by potentially 10–15%.

The problem of detecting sensor and actuator faults for a class of multivariable systems with arbitrary relative degree is considered. The proposed solution is based on the synthesis of unknown input observers. A modification is proposed that ensures a predefined convergence time, which is based on the dynamic regressor extension and mixing method and the Kreisselmeier scheme. The obtained solution is extended to the class of nonlinear systems with parametric uncertainties. Simulation results are provided to illustrate the effectiveness of the proposed approach.

The article deals with problems of equipment selection and replacement arising during modernization of machine-building enterprises, where the assembly of manufactured products is carried out on conveyors. The author proposes methods for these tasks, which allow determining types and quantity of equipment, which should be purchased and which it is expedient to get rid of during modernization of enterprises.