Article
Виртуальный лабораторный практикум по изучению лазерного гироскопа
Virtual laboratory workshop for laser gyroscope studying is described. The computer measurements concepts are explained according to the new Russian standard. The virtual models application at workshop designing and in the educational process are considered.
The paper is devoted to non-contact measurement of machine vibration parameters using fiber-optic transducer operating as a part of intellectual measuring system. The description of the developed measurement system allows to measure parameters of a harmonic vibration and correcting inaccuracies using special algorithms.
The paper is devoted to the investigation of the physical reasons of time and temperature drifts of Zeeman laser gyro with periodic realignment of the laser longitudinal generation mode with the light wave opposite circular polarization. It is designated that gyro drift can be divided into magnetic and non-magnetic components having different nature and provides significantly different contribution to the final error. The expression of total error depending on the gyro operation mode is presented. The reasons of magnetic and non-magnetic drifts are described and optimal algorithmic methods of their compensation are proposed both with initial calibration and without it. Experimental results for several Zeeman laser gyroscopes with drifts typical values are analyzed.
The features of operation of the inductive transducers. The algorithm of correction of non-linearity and hysteresis of conversion function of inductive transducers. A virtual instrument for the implementation of the proposed algorithm. Experimental research on the effectiveness of the proposed algorithm using a differential inductive transducer of linear displacement.
The paper considers the advantages and limitations of the resonator sensors. The main possibilities of the developed measurement system designed to measure the frequency of the signal and the automatic correction of errors of the mechanical resonator sensors.
The laser gyros operating in wide temperature range need in the effective correction of the drift. The paper is devoted to the investigation of the physical reasons of time and temperature drifts of Zeeman laser gyro with periodic realignment of the laser longitudinal generation mode with the light wave opposite circular polarization. It is designated that gyro drift can be divided into magnetic and non-magnetic components having different nature and provides significantly different contribution to the final error. The expression of total error depending on the gyro operation mode is presented. The reasons of magnetic and non-magnetic drifts are described and optimal algorithmic methods of their compensation are proposed both with initial calibration and without it. Experimental results for several Zeeman laser gyroscopes with drifts typical values are analyzed.
Instructions contain theoretical information necessary to perform laboratory work "Measurements of laser gyro parameters", a description of the procedures and requirements to the report. Intended for master students studying the discipline "Control, orientation and navigation systems" (in the direction of learning 231300.68 Applied mathematics - master's program in "Control and information systems engineering").
The results of development the optimal software for Zeeman laser gyro perimeter control and output signal false component compensation basing on the real operation conditions and own laser specifications.
The suppression of the nonlinear distortions in amplifier using the effect of the envelope signal of the amplified HF oscillations on the amplifier parameters is analyzed. A slow (on the time scale of the HF oscillations) variation in the parameters gives rise to additional frequency components of oscillations that compensate for the nonlinear distortions of the original signal. Several variants to employ the compensating signal using the feedback circuits in the transistor amplifiers and variations in the electron-beam current in TWT in the absence of such circuits are considered. The suppression of the nonlinear intermodulation distortions (IMDs) of the test two_frequency signal is studied for the above variants and the suppression of the third_order IMD by 6–19 dB corresponds to the known experimental data on the microwave transistor amplifier. The generalization of the quasistationary method for the analysis of the nonlinear transformation of signals allows the analysis of the amplification and suppression of IMD for more complicated multifrequency signals that are used in radio systems.
The problem of minimizing the root mean square deviation of a uniform string with clamped ends from an equilibrium position is investigated. It is assumed that the initial conditions are specified and the ends of the string are clamped. The Fourier method is used, which enables the control problem with a partial differential equation to be reduced to a control problem with a denumerable system of ordinary differential equations. For the optimal control problem in the l2 space obtained, it is proved that the optimal synthesis contains singular trajectories and chattering trajectories. For the initial problem of the optimal control of the vibrations of a string it is also proved that there is a unique solution for which the optimal control has a denumerable number of switchings in a finite time interval.
For a class of optimal control problems and Hamiltonian systems generated by these problems in the space l 2, we prove the existence of extremals with a countable number of switchings on a finite time interval. The optimal synthesis that we construct in the space l 2 forms a fiber bundle with piecewise smooth two-dimensional fibers consisting of extremals with a countable number of switchings over an infinite-dimensional basis of singular extremals.
This proceedings publication is a compilation of selected contributions from the “Third International Conference on the Dynamics of Information Systems” which took place at the University of Florida, Gainesville, February 16–18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundation presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study.
In this paper, we construct a new distribution corresponding to a real noble gas as well as the equation of state for it.