Identification and Control of Multidimensional Delayed Processes in Conditions of Incomplete Information

2021 ◽  
Vol 27 (12) ◽  
pp. 658-667
Author(s):  
A. V. Medvedev ◽  
◽  
D. I. Yareshchenko ◽  
Keyword(s):  
Incomplete Information ◽  
A Priori ◽  
Identification Problem ◽  
Control Algorithms ◽  
Main Task ◽  
Multidimensional System ◽  
Implicit Equations ◽  
Priori Information ◽  
Definition Of ◽  
And Control

Problems of identification and control of multidimensional discrete-continuous processes with delay in conditions of incomplete information about the object are considered. In such conditions, the form of parametric equations for various channels of the object is absent due to the lack of a priori information. Moreover, multidimensional processes have stochastic dependences of the components of the vector of output variables. Under such conditions, the mathematical description of such processes leads to a system of implicit equations. Nonparametric identification and control algorithms for multidimensional systems are proposed. The main task of modeling such processes is to determine the predicted values of the output variables from the known input. Moreover, for implicit equations, it is only known that one or another output variable can depend on other input and output variables that determine the state of a multidimensional system. In this study, a nontrivial situation arises when solving a system of implicit equations under conditions when the dependences between the components of the output variables are unknown. The application of the parametric theory of identification in this case will not lead to success. One of the possible directions is the use of the theory of nonparametric systems. The main content of the work is the solution of the identification problem in the presence of dependencies of the output variables and then the solution of the control problem for such a process. Here you should pay attention to the fact that when determining the reference actions for a multidimensional system, it is first necessary to solve the system of reference actions, since it is not possible to choose arbitrarily setting influences from the range of definition of output variables. Computational eXperiments aimed at investigating the effectiveness of the proposed identification and control algorithms are presented.

1D single-site and laterally constrained inversion of multifrequency and multicomponent ground-based electromagnetic induction data — Application to the investigation of a near-surface clayey overburden

Geophysics ◽  
2012 ◽  
Vol 77 (4) ◽  
pp. WB19-WB35 ◽  
Author(s):  
Cyril Schamper ◽  
Fayçal Rejiba ◽  
Roger Guérin
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Induction ◽  
Search Algorithm ◽  
Random Search ◽  
A Priori ◽  
Synthetic Data ◽  
Conductive Layer ◽  
Near Surface ◽  
Priori Information ◽  
Definition Of

Electromagnetic induction (EMI) methods are widely used to determine the distribution of the electrical conductivity and are well adapted to the delimitation of aquifers and clayey layers because the electromagnetic field is strongly perturbed by conductive media. The multicomponent EMI device that was used allowed the three components of the secondary magnetic field (the radial [Formula: see text], the tangential [Formula: see text], and the vertical [Formula: see text]) to be measured at 10 frequencies ranging from 110 to 56 kHz in one single sounding with offsets ranging from 20 to 400 m. In a continuing endeavor to improve the reliability with which the thickness and conductivity are inverted, we focused our research on the use of components other than the vertical magnetic field Hz. Because a separate sensitivity analysis of [Formula: see text] and [Formula: see text] suggests that [Formula: see text] is more sensitive to variations in the thickness of a near-surface conductive layer, we developed an inversion tool able to make single-sounding and laterally constrained 1D interpretation of both components jointly, associated with an adapted random search algorithm for single-sounding processing for which almost no a priori information is available. Considering the complementarity of [Formula: see text] and [Formula: see text] components, inversion tests of clean and noisy synthetic data showed an improvement in the definition of the thickness of a near-surface conductive layer. This inversion code was applied to the karst site of the basin of Fontaine-Sous-Préaux, near Rouen (northwest of France). Comparison with an electrical resistivity tomography tends to confirm the reliability of the interpretation from the EMI data with the developed inversion tool.

scholarly journals Information indicators of radar portraits of air objects and generalized indicators of the ability of recognition systems to extract information

2018 ◽  
Vol 21 (5) ◽  
pp. 94-104
Author(s):  
R. N. Akinshin ◽  
A. V. Peteshov
Keyword(s):  
A Priori ◽  
Quality Criterion ◽  
Recognition System ◽  
Mean Values ◽  
Amount Of Information ◽  
Information Group ◽  
Priori Information ◽  
Stationary Random Processes ◽  
And Control ◽  
Decisive Rule

To improve the quality of recognition of air objects, it is proposed to use a priori information contained in reference portraits, which are formed adaptively to the conditions of observation. A decisive rule is formulated on the assignment of the observed target to the k-th group under the assumption that the signal and background are normal stationary random processes with zero mean values and the covariance matrices of portraits are known. The quality criterion of recognition is proposed, the result of which implementation is a decision with a probability not below the required Ptr. The price for the implementation of this criterion is the decision content change. For the implementation of the radar recognition system (HRD) with structural-parametric adaptation of the radar it is proposed to introduce into the system a device of the quality and control forecast, which conducts the assessment (forecast) of the amount of information and change the decisive rule of the HRD system in accordance with the received assessment. An indicator of the amount of information extracted by the recognition system from the radar portrait (RLP) is introduced, which is thought as a measure of reducing uncertainty in the decision-making process on the target group with the help of the RLR system. It is shown that the amount of extracted information depends not only on the parameters of the RLP, but also on the algorithm of its processing. The potential amount of information about the goal of the k-th information group contained in the RLP is determined, the concept of a sufficiently informative portrait with the recognition of the goals of all groups is introduced. The concepts of differential and integral contrast are formalized in the case of arbitrarily correlated RLP. The introduced concepts of differential and integral contrasts for the special case of uncorrelated RLP are extended to the General case of arbitrarily correlated RLP.

scholarly journals Regularization of the problems of planning and processing the test results of pipeline systems for hydraulic losses

2018 ◽  
Vol 212 ◽  
pp. 01006
Author(s):  
Oksana Grebneva
Keyword(s):  
Computer Modelling ◽  
A Priori ◽  
Identification Problem ◽  
Test Results ◽  
Initial Information ◽  
Active Experiments ◽  
Priori Information ◽  
Parameter Values ◽  
Modelling Methods ◽  
Independent Parameters

The lack of reliable information on actual characteristics and parameters is the main deterrent to the effective application of mathematical and computer modelling methods for solving problems of optimal reconstruction, adjustment, and development of operational problems. The lack of such information is solved on the basis of applying the identification problems that require expert (approximate) specification of a priori parameter values. This leads to the sensitivity of the solution of identifying a problem to the errors in setting the initial information. One way to solve this problem is to apply regularization methods. In this paper, a numerical example proposes a rule for expert assignment of a priori information on the parameters of elements, which makes it possible to minimize its influence on the results of planning active experiments. In addition, the paper shows the independence of the solution of the identification problem from the composition of the vector of independent parameters.

Curve Fitting and Deconvolution of Instrumental Broadening: A Simulated Annealing Approach

1995 ◽  
Vol 49 (3) ◽  
pp. 273-278 ◽  
Author(s):  
A. Ferry ◽  
P. Jacobsson
Keyword(s):  
Simulated Annealing ◽  
Curve Fitting ◽  
Simulated Annealing Algorithm ◽  
A Priori ◽  
Global Optimum ◽  
Fitting Procedure ◽  
Instrumental Resolution ◽  
Priori Information ◽  
Definition Of ◽  
The Cost

A curve-fitting procedure based on the simulated annealing algorithm has been developed for the analysis of spectral Raman data. By the inclusion of a priori information about the instrumental broadening in the definition of the cost function that is minimized, effects of the finite instrumental resolution are eliminated from the resulting fit. The ability of the method to reproduce original band shapes is tested on synthesized spectra and FT-Raman spectra of diamond recorded at different resolutions with different apodization functions. The procedure yields the global optimum of the fitted parameters and is easily implemented on a personal computer.

scholarly journals Microwave Tomographic approach for masonry investigation: some real results

2010 ◽  
Vol 24 ◽  
pp. 83-88 ◽  
Author(s):  
M. Bavusi ◽  
R. Di Napoli ◽  
F. Soldovieri
Keyword(s):  
Data Processing ◽  
A Priori ◽  
Microwave Tomography ◽  
Raw Data ◽  
Fracture Geometry ◽  
Host Medium ◽  
Historical Heritage ◽  
Priori Information ◽  
Definition Of ◽  
Ground Penetrating

Abstract. Ground Penetrating Radar (GPR) is an electromagnetic technique very appreciated by the community of the archaeologist and cultural heritage end-users community thanks to its appealing features in terms of non invasivity and rapidity of measurement and diagnostics. However, GPR data requires a high operator expertise in the data processing and interpretation. In the archaeological investigation, this drawback can be mitigated by the availability of a priori information about the archaeological scenario. On the other hand, in the case of the historical heritage, when the knowledge of constructive modalities and material of the structure may be completely missed, it is necessary to undertake other strategies of processing and interpretation. One of these can be provided by the use of novel inversion algorithms such as the Microwave Tomography (MT) which allows to reduce the subjectivity and the time consuming during the data processing. In this paper the MT was applied on raw data collected at two historical buildings of Chania (Crete, Greece). The first edifice is the Venizelo's House affected by visible fractures in its walls made up of cemented irregular stones. The second one is the headquarters of Prefecture of Chania showing some fractures along the floors. For these raw data, microwave tomography provided well detailed images which allowed to infer the fracture geometry and their extension in the host medium. This suggests microwave tomography can be a reliable complete processing tool requiring only the definition of the background scenario in terms of the dielectric permittivity and the conductivity of the host medium.

scholarly journals EFFICIENCY OF COMPUTER NETWORKS WITH SDN IN THE CONDITIONS OF INCOMPLETE INFORMATION ON RELIABILITY

2021 ◽  
Vol 5 (2) ◽  
pp. 103-107
Author(s):  
Ольга Зінченко ◽  
Віктор Вишнівський ◽  
Юлія Березовська ◽  
Петер Седлачек
Keyword(s):  
Incomplete Information ◽  
Computer Networks ◽  
Computer Network ◽  
A Priori ◽  
Packet Transmission ◽  
Reliability Indicators ◽  
Distribution Laws ◽  
Priori Information ◽  
Management Functions ◽  
Time Reserve

The paper analyzes the effectiveness of computer networks with SDN in conditions of incomplete reliability information. In order to ensure the specified indicators of the reliability of the computer network, it is recommended to use their guaranteed estimates. To increase the level of security of information systems and introduce the concept of time reserve in the process of packet transmission, it is necessary to separate the functions of traffic transmission from management functions. This is the basic principle of SDN. When using SDN technology in computer networks, it is possible to enter a time reserve when transmitting messages. This makes it possible to more accurately determine the reliability. The evaluation of the data transmission system of the computer network takes into account the possibility of entering a time reserve and obtained the basic calculated ratios for reliability indicators in terms of incomplete information about their distribution laws. A priori information is limited by knowledge of the first initial moments of mathematical expectation and variance. These results are a justification for the structure of computer networks that are designed or upgraded. You can also use this information to build highly reliable networks or technical facilities that exist in a single implementation.

scholarly journals Autonomous Trajectory Planning and Control of Anti-Radiation Loitering Munitions under Uncertain Conditions

Electronics ◽  
2021 ◽  
Vol 10 (19) ◽  
pp. 2399
Author(s):  
Linyuan Bai ◽  
Hongchuan Luo ◽  
Haifeng Ling
Keyword(s):  
Trajectory Planning ◽  
Particle Filtering ◽  
A Priori ◽  
Planning And Control ◽  
Autonomous Planning ◽  
Sensing Model ◽  
Priori Information ◽  
Radar Information ◽  
And Control ◽  
Trajectory Planning And Control

As an autonomous system, an anti-radiation loitering munition (LM) experiences uncertainty in both a priori and sensed information during loitering because it is difficult to accurately know target radar information in advance, and the sensing performance of the seeker is affected by disturbance and errors. If, as it does in the state of the art, uncertainties are ignored and the LM travels its planned route, its battle effectiveness will be severely restricted. To tackle this problem, this paper studies the method of autonomous planning and control of loitering routes using limited a priori information of target radar and real-time sensing results. We establish a motion and sensing model based on the characteristics of anti-radiation LMs and use particle filtering to iteratively infer the target radar information. Based on model predictive control, we select a loitering path to minimize the uncertainty of the target information, so as to achieve trajectory planning control that is conducive to the acquisition of target radar information. Simulation results show that the proposed method can effectively complete the autonomous trajectory planning and control of anti-radiation LMs under uncertain conditions.

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