scholarly journals ASTATIC IDENTIFIER IN THE CONTROL SYSTEM OF THE GYROTHEODOLITE’S SENSITIVE ELEMENT

2021 ◽  
pp. 13-19
Author(s):  
Anatolii Boyarchuk ◽  
Pavlo Mironenko ◽  
Sergiy Murakhovsky ◽  
Ruslan Ivanenko
Keyword(s):  
Control System ◽  
State Vector ◽  
Sensitive Element ◽  
Constant Component ◽  
The State ◽  
Measured Parameter ◽  
Static System ◽  
Sensing Element ◽  
External Vibration ◽  
Software Model

The basic features of working conditions of means of ground orientation are considered. It is shown that in the presence of external vibration the appearance of additional measurement error is possible. The main characteristics of external vibration are given. A new feedback controller structure has been proposed, which includes an astatic state identifier. The mathematical model of the device in the form of space of states taking into account external vibration is considered. It is proposed to control the position of the sensitive element by the method of modal control by an incomplete state vector. It is assumed that the measured parameter for identifying the state vector is the angle of deviation of the sensitive element of the gyrotheodolite in azimuth. The analysis of observability at the set structure of matrices of a condition and measurements is carried out. To reduce the estimation error that occurs due to the presence of uncontrolled vibration, the state identifier uses both proportional and integrated feedback channels. The coefficients of an observer with an astatic component in the equation of state are determined under the assumption that the evaluation process should be aperiodic. Simulation of the work of the astatic identifier on the basis of the developed software model is carried out. The coefficients of the software model are selected on the basis of constructive solutions used at the present stage of development of systems for determining azimuthal directions based on gyrotheodolites. The coefficients of the observer for the given parameters of the device are calculated. The simulation results showed that the application of the proposed method can significantly reduce the impact of the constant component of external vibration. The error of estimating the angular coordinates and velocities used in the control system of the position of the sensing element, the astatic status identifier goes to zero, while the static system has a constant component of the error. In further research it is planned to build a generalized system, which includes control of the motion of the sensing element both in the azimuth and in the non-gyrostabilized plane.

scholarly journals Synthesis and modeling of the multidimensional technological object control system on the state regulator basis

Vestnik IGEU ◽  
2020 ◽  
pp. 57-64
Author(s):  
A.N. Labutin ◽  
Yu.N. Zagarinskaya ◽  
V.Yu. Nevinitsyn ◽  
G.V. Volkova ◽  
V.A. Zaitsev
Keyword(s):  
Computer Simulation ◽  
Control System ◽  
Automatic Control ◽  
Control Systems ◽  
State Vector ◽  
Chemical Reactor ◽  
The State ◽  
Static Error ◽  
Integral Component ◽  
State Regulator

The problem of structural-parametric synthesis of automatic control systems (ACS) of technological objects is deter-mined by the multi-dimensionality, multi-connectedness and nonlinearity of their mathematical models. Despite the indicated properties of such objects, traditional linear systems based on PID-algorithms are still used for process control. Since the synthesis of linear systems using input-output models does not take into account the multi-dimensionality and mutual influence of state coordinates, such systems increase the influence of parametric and signal perturbations on the quality of control processes. The increasing requirements for the quality and efficiency of technological processes control made it expedient to apply the control principle by the state vector based on the use of uninertial state regulators or combined state regulators including flexible feedback on the derivative state coordinates or state coordinate integrals. The research uses methods of system analysis of technological processes as control objects, methods of automatic control theory, methods of control systems synthesis on the state regulators basis, meth-ods of computer simulation. The linearized mathematical model of liquid-phase chemical reactor in the state space has been obtained. It has been established that the investigated object has the property of free movement stability and it is fully controlled in the state space. The problem of synthesis of a single-channel concentration vector control system in a chemical reactor using state regulator has been solved. The parameters of state regulator settings have been determined using the method of modal control. The efficiency of the automatic control system on the basis of the state regulator with an integral component has been shown using the method of computer simulation of the ‘nonlinear object – linear control subsystem’ complex. It has been demonstrated that the absence of an integral component in the control algorithm structure leads to a great static error of regulation. To eliminate the static error of control and ensure the robustness of the control system, it is recommended to introduce an integral component into the structure of state controller. This ensures the efficiency of the control system both for the case of complete measurement of the state vector and for the case of measurement of the output controlled variable only.

scholarly journals Computation of State Vector of Networked Control System using Combination of Laplace Transform and Variational Iteration Method

2019 ◽  
Vol 8 (3) ◽  
pp. 2364-2366
Keyword(s):  
Control System ◽  
Iteration Method ◽  
State Vector ◽  
Variational Iteration Method ◽  
Networked Control System ◽  
The State ◽  
Networked Control ◽  
Control Input ◽  
Variational Iteration ◽  
Control System Model

Networked Control System (NCS) is a control system in which system components such as sensor, actuator and controller communicate over a network. Networked control system model is represented by , where the state vector and the control input . In this paper the state vector of the networked control system is computed by obtaining the solution of first order delay differential equation using the combination of Laplace and Variational Iteration method.

Synthesis of Optimal Feedback Control Systems With Model Feedback Observers

1974 ◽  
Vol 96 (4) ◽  
pp. 470-474 ◽  
Author(s):  
K. Ichikawa
Keyword(s):  
Control System ◽  
Feedback Control ◽  
State Vector ◽  
Design Method ◽  
The State ◽  
Optimal Feedback Control ◽  
Feedback Control System ◽  
Linear Quadratic ◽  
Optimal Feedback ◽  
Feedback Control Systems

This paper deals with an inaccessible control problem for a discrete time linear fixed parameter system. It is well known that when the state vector is completely detectable, an optimal feedback control system can be constructed for the so-called linear quadratic problem, at least theoretically. When the state vector is not completely detectable, the problem is not so straightforward, and many different approaches or devices have been tried. In this paper, the state vector of the controlled system is restored by an observer in order to generate optimal control. Under some appropriate assumptions, the state vector is restored within at most v stages, where v is the quotient of n divided by m (n = dimension of state vector, m = dimension of output vector, with divisibility assumed in this paper). The design method for such an observer reduces to the design of a minimum stage regulator and is explained in detail in this paper. Finally, the characteristics of the feedback control system with an observer are examined numerically and compared with those of an optimal feedback control system with complete state detectability.

Operators and meaning of wave function

2016 ◽  
pp. 4039-4042
Author(s):  
Viliam Malcher
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
State Vector ◽  
The State ◽  
Physical Significance ◽  
Central Problem ◽  
Quantum Mechanical ◽  
Mechanical Description ◽  
Quantum Mechanical Description ◽  
Interpretation Of Quantum Theory

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |ψ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |ψ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.

The analysis is geometrically stable orbits of spacecraft remote sensing of the Еarth

2018 ◽  
Vol 15 (1) ◽  
pp. 12-22
Author(s):  
V. M. Artyushenko ◽  
D. Y. Vinogradov
Keyword(s):  
Remote Sensing ◽  
Gravitational Field ◽  
State Vector ◽  
Semimajor Axis ◽  
The State ◽  
Zonal Harmonics ◽  
The Earth ◽  
Conditions Of Stability

The article reviewed and analyzed the class of geometrically stable orbits (GUO). The conditions of stability in the model of the geopotential, taking into account the zonal harmonics. The sequence of calculation of the state vector of GUO in the osculating value of the argument of the latitude with the famous Ascoli-royski longitude of the ascending node, inclination and semimajor axis. The simulation is obtained the altitude profiles of SEE regarding the all-earth ellipsoid model of the gravitational field of the Earth given 7 and 32 zonal harmonics.

CONTROL SYSTEM IN MODERN JAPAN (NIHONTEKI KEYKEY): THE KEY TO INNOVATIVE DEVEL

2021 ◽  
Vol 1 (3) ◽  
pp. 148-154
Author(s):  
A. I. SAMSIN ◽  
◽  
M. A. PONOMAREV ◽  
V. V. VELIKOROSSOV ◽  
◽  
...  
Keyword(s):  
Economic Development ◽  
Control System ◽  
Management System ◽  
Decisive Role ◽  
Well Being ◽  
The State ◽  
Social Orientation ◽  
The Social ◽  
Modern Japan

The article is devoted to the analysis of the main trends and problems of the management system in modern Japan, which is the key to the country's innovative economic development. Shows the social orientation of the state authorities to protect the rights, freedoms and well-being of citizens. Today, the country is actively fighting against the coronavirus pandemic. The decisive role belongs to government bodies, it is they who develop and implement a system of measures to overcome this serious danger.

scholarly journals Combined assimilation of streamflow and snow water equivalent for mid-term ensemble streamflow forecasts in snow-dominated regions

2016 ◽  
Author(s):  
Jean M. Bergeron ◽  
Mélanie Trudel ◽  
Robert Leconte
Keyword(s):  
Data Assimilation ◽  
State Vector ◽  
Snow Water Equivalent ◽  
Synthetic Data ◽  
Hydrologic Model ◽  
Open Loop ◽  
The State ◽  
Wide Range ◽  
Snow Water ◽  
The Impact

Abstract. The potential of data assimilation for hydrologic predictions has been demonstrated in many research studies. Watersheds over which multiple observation types are available can potentially further benefit from data assimilation by having multiple updated states from which hydrologic predictions can be generated. However, the magnitude and time span of the impact of the assimilation of an observation varies according not only to its type, but also to the variables included in the state vector. This study examines the impact of multivariate synthetic data assimilation using the Ensemble Kalman Filter (EnKF) into the spatially distributed hydrologic model CEQUEAU for the mountainous Nechako River located in British-Columbia, Canada. Synthetic data includes daily snow cover area (SCA), daily measurements of snow water equivalent (SWE) at three different locations and daily streamflow data at the watershed outlet. Results show a large variability of the continuous rank probability skill score over a wide range of prediction horizons (days to weeks) depending on the state vector configuration and the type of observations assimilated. Overall, the variables most closely linearly linked to the observations are the ones worth considering adding to the state vector. The performance of the assimilation of basin-wide SCA, which does not have a decent proxy among potential state variables, does not surpass the open loop for any of the simulated variables. However, the assimilation of streamflow offers major improvements steadily throughout the year, but mainly over the short-term (up to 5 days) forecast horizons, while the impact of the assimilation of SWE gains more importance during the snowmelt period over the mid-term (up to 50 days) forecast horizon compared with open loop. The combined assimilation of streamflow and SWE performs better than its individual counterparts, offering improvements over all forecast horizons considered and throughout the whole year, including the critical period of snowmelt. This highlights the potential benefit of using multivariate data assimilation for streamflow predictions in snow-dominated regions.

scholarly journals PULSE METHOD FOR DETERMINATION OF TIME PARAMETERS THERMAL FIRE DETECTOR

2021 ◽  
Vol 4 (164) ◽  
pp. 166-170
Author(s):  
Ya. Kozak
Keyword(s):  
Electric Current ◽  
Time Constant ◽  
Sensitive Element ◽  
Integral Transformation ◽  
Pulse Method ◽  
Auxiliary Parameter ◽  
Sensing Element ◽  
Fire Detector ◽  
Time Parameters ◽  
Analytical Expressions

For thermal fire detectors with a thermoresistive sensitive element, the method of determining its time parameters is justified. The time parameters of operation and the time constant of the thermal fire detector are considered as time parameters. The method is based on the use of the Joule-Lenz effect, for the implementation of which single pulses of electric current are passed through the thermoresistive sensitive element of the fire detector. Pulses having the shape of a quarter sinusoid or a quarter cosinusoid are used as such test signals. Using the Laplace integral transformation, analytical expressions are obtained, which represent the formalization of the reaction of the thermoresistive sensitive element of the fire detector to the corresponding test signals. These analytical expressions are used to obtain the functional dependences of the fire detector time constants on the pulse duration of the electric current and the auxiliary parameter. The auxiliary parameter is the ratio of the values ​​of the output signal of the thermal fire detector at two fixed points in time. This choice of auxiliary parameter allows to ensure invariance with respect to the transfer coefficient of the thermal fire detector with a thermoresistive sensing element. The fixed moments of time are chosen to be equal to half and three quarters of the duration of the pulses of electric current flowing through the thermoresistive sensitive element of the fire detector. The time of operation of the thermal fire detector is determined in the form of two additive components, one of which is a time constant of the fire detector, and the other is determined by the values ​​of normalized parameters in accordance with existing regulations. A sequence of procedures is given, which together represent a method of determining the time parameters of thermal fire detectors of this type.

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