Automation and Remote Control最新文献

This paper considers a periodic boundary value problem for a nonlinear partial differential equation with a deviating spatial variable. It is called the nonlocal erosion equation and was proposed as a model for the formation of dynamic patterns on the semiconductor surface. As is demonstrated below, the formation of a spatially inhomogeneous relief is a self-organization process. An inhomogeneous relief appears due to local bifurcations in the neighborhood of homogeneous equilibria when they change their stability. The analysis of this problem is based on modern methods of the theory of infinite-dimensional dynamic systems, including such branches as the theory of invariant manifolds, the apparatus of normal forms, and asymptotic methods for studying dynamic systems.

The problem of state reconstruction is considered for a class of linear systems with time-invariant unknown parameters and overparameterization that are affected by external perturbations generated by a known exosystem with unknown initial conditions. An extended adaptive observer is proposed, which, in contrast to existing approaches, solves state and perturbation adaptive estimation problems for systems that are not represented in the observer canonical form. The obtained theoretical results are validated via mathematical modeling.

We dedicate this work to the memory of Academician B.N. Petrov. It develops the principles of terminal control of rocket carriers formulated by him. Next-generation rocket carriers implement the principle of interconnected, coordinated terminal control of the center of mass motion and propellant consumption. In this article we consider the problem of synthesizing such control and the main principles of its implementation.

The article considers the problem of combinatorial optimization of interception of rectilinearly moving targets as a modification of the traveling salesman problem. New macro characteristics and definitions for this problem are introduced and used to classify the obtained solutions. Vector criteria composed of several important for applications functionals are described. The principles of no-waiting and maximum velocity are proved for two types of criteria. An intelligent brute-force algorithm with dynamic programming elements for finding optimal plans according to the introduced intercept criteria is proposed and implemented. Statistics of solutions of the developed algorithm is collected for a set of different initial parameters and the proposed macro characteristics are investigated. The conclusions about their applicability as local rules for the greedy algorithm for finding a suboptimal intercept plan are drawn.

The paper is devoted to solving the problem of determining the relative spatial arrangement and orientation of objects. The task was set: to show the fundamental possibility of spatial and angular relative positioning when using the parameters of the magnetic field gradient in tensor form and in the form of gradient of an absolute value vector as measurement information for the magnetic field of a local dipole source. The solution of the problem is presented along with the features and limitations for both forms of representation are considered. The principles of construction of magnetic gradiometry measurement systems are briefly described, the limitations of technical implementation are considered, and the benefits of using an alternating magnetic field source is outlined. The results of modelling are presented, proving the possibility of using the proposed positioning method for various engineering problems.

This paper provides a parametrization of optimal anisotropic controllers for linear discrete time invariant systems. The controllers to be designed are limited by causal dynamic output-feedback control laws. The obtained solution depends on several adjustable parameters that determine the specific type of controller, and is of the form of a system of the Riccati equations relating to a ({{mathcal{H}}_{2}})-optimal controller for a system formed by a series connection of the original system and the worst-case generating filter corresponding to the maximum value of the mean anisotropy of the external disturbance.

Methods for assessing the current state and forecasting critical events are developed in order to reduce the stress load on the pilot of an aircraft. These methods are based on the energy approach to flight control. Algorithms for forecasting the possibility of safe takeoff in the presence of high-rise obstacles on the trajectory are obtained. Forecast correction algorithms are introduced. Algorithms for calculating the braking distance depending on the runway condition are found in the modes of landing or emergency braking at takeoff. Some ways to correct forecasts considering the sequence and operation time of all braking devices are proposed. Model tests are carried out for the algorithms in the entire range of operating conditions.

Deterministic continuous finite-dimensional stationary linear dynamic control systems with many inputs and many outputs are considered. Authors assume that the dynamics matrix can be both stable and unstable, but its eigenvalues are different, do not belong to the imaginary axis, and their pairwise sum is not equal to 0. The problems of constructing spectral solutions of the equations of state and matrices of gramian controllability of these systems, as well as the associated energy functionals of the degree of stability and reachability with the aim of optimal placement of sensors and actuators of multi-connected control systems and complex networks are considered. To solve the listed problems, the article uses various models of the system in state space: a general representation, as well as a representation in various canonical forms. To calculate the spectral decompositions of controllability gramians, pseudo-Hankel matrices (Xiao matrices) are used. New methods have been proposed and algorithms have been developed for calculating controllability gramians and energy metrics of linear systems. The research results can be used for the optimal placement of sensors and actuators of multi-connected control systems or for control with minimal energy in complex networks of various natures.

The control modes of a free-flying space manipulation robot during the transportation and installation of a building element on a large space structure are considered. It is proposed to save the working fluid of the gas-jet engines of the robot body when moving along the trajectory by using the mobility of a manipulator with electromechanical drives for the angular stabilization of the mechanical “robot–transported element” system. Conditions ensuring the stable motion of the manipulator in the working area when installing the element on the assembled structure are obtained. A stability domain is determined to select the initial configuration of the manipulator before installing the element and its admissible change during installation. The control algorithms are designed based on the principle of dynamic feedback systems.

This paper proposes a novel approach to suppressing bounded exogenous disturbances in a linear discrete-time control system by a static state- or output-feedback control law. The approach is based on reducing the original problem to a nonconvex matrix optimization problem with the gain matrix as one variable. The latter problem is solved by the gradient method; its convergence is theoretically justified for several important special cases. An example is provided to demonstrate the effectiveness of the iterative procedure proposed.