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N. 5, 2014

A. Yu. Aleksandrov, E. B. Aleksandrova, A. P. Zhabko

Stability Analysis of Gyroscopic Systems with Delay Via the Lyapunov Direct Method

Mechanical systems described by linear differential equations of the second order with delay in the positional forces and a large parameter at the gyroscopic forces are studied. It is assumed that the delay is continuous bounded and nonnegative function of time. By the use of the Lyapunov direct method and the Razumikhin approach, it is proved that, for sufficiently large values of the parameter, the asymptotic stability of the corresponding delay-free precession and nutation systems implies that one for the initial system. It is shown that the developed approach can be used for the stability analysis of hybrid mechanical systems with switched positional fields.
Keywords: gyroscopic systems, stability, delay, switched systems, Lyapunov functions

P. 37

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A. S. Sheludko, V. I. Shiryaev

Minimax Filtering Algorithm for One-Dimensional Chaotic Process

In this article we consider the state estimation problem for one-dimensional chaotic signal in the presence of noise. An algorithm based on the minimax approach is derived. The result of minimax filtering at every time step is an interval estimate (an information set) that always contains the true value of the state variable. We propose a way to find the point estimates of the state variable based on an analogy with the Kalman filter.
Keywords: deterministic chaos, chaotic map, minimax filtering

P. 812

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B. R. Andrievskii, N. V. Kuznetsov, G. A. Leonov, A. Yu. Pogromsky

Observer-Based Distributed Control of Production Line

The paper deals with the control problem for a manufacturing machine such that an unknown customer demand is tracked with a desired accuracy. To study this problem, a manufacturing machine is approximated by an integrator which is subject to input saturation as a result of the finite capacity of the machine. To solve the problem in case of unknown demand rate, an observer-based feedforward-feedback controller is proposed. The relationship between the proposed control strategy and dynamical anti-windup augmentation is revealed. The decentralized feedback control strategy for a line of manufacturing machines is also considered and examined. The illustrating examples are presented, demonstrating desired system performance for various conditions.
Keywords: manufacturing line, industry automation, production control, decentralized control

P. 1325

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V. I. Rakov, O. V. Zakharova

About Computing Opportunities of Increase of Speed of Digital Regulators for Drives of Processing Equipment. Part 2. Reduction f Time f Calculations

The mathematical model of the new high-speed arithmetic-logic device (ALU NF) and processor structure for the digital regulator is offered.
Keywords: regulator, controller, productivity, arithmetic and logic unit

P. 2530

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E. V. Denisova, E. Sh. Nasibullaeva, I. Sh. Nasibullayev

Investigation Method of Dynamic Processes in the Fuel Elements of Automation

In the present paper a comparison of existing methods of fuel automation elements simulation are performed. A new approach provides an influence of structural factors on the element dynamic performance already as part of the automatic control gas turbine engine.
Keywords: automatic control system, fuel metering unit, servopiston, mathematical model, the dynamic processes, hydrodynamics

P. 3136

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V. G. Gradetsky, I. L. Ermolov, M. M. Knyazkov, E. A. Semyonov, A. N. Sukhanov

The Kinematic Model of the Human Arm Exoskeleton and Determination of Positioning Errors

This paper describes a kinematic model of a human arm exoskeleton for which direct and inverse kinematics are solved. In addition, the positioning errors of the exoskeleton arm are defined as a function of the linear and angular tolerances.
Keywords: exoskeleton, kinematic model, robotic device, parametric analysis, multilink system, pneumatic drives

P. 3741

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I. G. Zhidenko, I. M. Kutlubayev

Technique of Definition of Control Signals Anthropomorphic Manipulator

The question of determination of generalized coordinates of operator's hand with the purpose of development of anthropomorphic manipulator's movement control signals was considered.
Keywords: setting device, anthropomorphic manipulator, generalized coordinates

P. 4146

S. A. Kabanov, D. S. Kabanov

Optimal Control of Aircraft Banked Turn Using Various Criteria

A problem of optimal control using various criteria in the case of an aircraft making a banked turn is considered. Algorithms of control sequential optimization for two criteria hierarchy and correction of control structure parameters are investigated. The control's structure is obtained from the solution based on Pontryagin's maximum principle. The correction of control structure parameters is optimized by minimization either of the two functionals. The first one is a functional with an additional integral cost of control using maximum principle. The second one is a Krasovsky's criterion using the algorithm with a forecasting model.
Keywords: pontryagin's maximum principle, control's structure, forecasting model

P. 4853


S. N. Firsov

Ensuring the Functional Stability of the Stabilization and Orientation System for Small-Sized Autonomous Flying Object

One of the possible solutions to scientific and applied task of providing the functional stability of stabilization and orientation systems for the small aircraft is proposed.
Keywords: small-sized aircraft, accelerometer, angular rate sensor, before control speed, failure

P. 5460

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G. N. Lebedev, Zaw Min Htike

Synthesis of Optimal Control of the Lateral Movement for Aircraft and Sea Vessels Crossing their Routes at Any Angle

The procedure of splitting the traffic on the climb, and a counter-cross, and for each one-way lateral passing maneuvers and changes of speed. Found an updated algorithm coordinated control of two ships crossing their courses at any angle.
Keywords: security control, optimal control, aircraft, dynamic programming, the risk function

P. 6168

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E. S. Chuvasheva, S. N. Chuvashev

Mathematical Modeling of Detection of High Speed Vehicle in Flight with Infrared Cameras

The previously described mathematical model is used which accounts for a number of physical processes in the main units of a high speed air breathing vehicle. Conditions of detection of a high speed vehicle in flight with infrared cameras are considered. The effectiveness of measures of chilling of the most heated parts of the vehicle's surface is analyzed. The influence of differences in trajectory and regime of flight is studied.
Keywords: high speed vehicles, infrared radiation, flight dynamics, complex mathematical model

P. 6972

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