AREA OF INITIAL POSITIONS OF A UAV (UNMANNED AERIAL APPARATUS) IN THREEDIMENSIONAL SPACE

2018 ◽  
pp. 24-29
Author(s):  
I. O. Makhonin
Keyword(s):  
Necessary Conditions ◽  
Auxiliary Problem ◽  
Program Control ◽  
Boundary Values ◽  
Optimal Program ◽  
The Maximum Principle ◽  
Phase Coordinates ◽  
Aerial Vehicle ◽  
The Moment ◽  
Computational Solution

When landing an unmanned aerial vehicle (UAV) on a ship, it is required to perform the specified boundary values of the state vector at the moment of approach to the hook equipment. The article considers the solution of the problem of calculating the points of the area of initial positions of UAV. It is mean, that each point provide hitting for the UAV to a predetermined aiming area at a given time in the vicinity of the hitch. In this case, the phase coordinates of the UAV at the time of approach to the hook device have to defined. To calculate the points located on the boundary of the area of initial positions, auxiliary problems of optimal program control have been solved. To solve it, the necessary conditions for the maximum principle of L. S. Pontryagin were used. The article considers the algorithm of the computational solution of the auxiliary problem of optimal program control and the results of calculating points thats located at the far boundary of the area of initial positions, that is mean, that points located at the maximum distance from the aiming point (the location of the hook device).

scholarly journals Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principle

2018 ◽  
Vol 226 ◽  
pp. 02012 ◽  
Author(s):  
Viktor P. Lapshin ◽  
Ilya A. Turkin ◽  
Alexey A. Zakalyuzhnyy ◽  
Viktor F. Khlystunov ◽  
Gennadiy A. Kuzin
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Maximum Principle ◽  
Synthesis Method ◽  
The Maximum Principle ◽  
Analytical Construction ◽  
Optimal Linear ◽  
The Moment ◽  
Moment Of Resistance ◽  
Maximum Method

A special case of synthesizing the electromechanical control system by the maximum method and using the Analytical Construction method of Aggregate Regulators (ACAR) is considered in the article. For the basis the task of synthesizing the optimal for speed electromechanical positioning system was chosen, while the moment of resistance to movement linearly depended on the output coordinate of the system, that is, on the angle of the engine rotor rotation. Synthesis of the optimal system for speed makes it possible to increase the efficiency of the entire production process in many production tasks, and the synthesis of the optimal linear control system based on the maximum principle is a fairly well-formalized problem. Here it should be noted that the procedure for synergistic synthesis of the optimal control system has no such formalization. An approach that brings together the solutions obtained by these two methods, which makes it possible to increase the efficiency of the ACAR method by adding some features of the methodology for synthesizing optimal systems by introducing nonlinearity of the “saturation” type is proposed in the article. The results obtained made it possible to formulate the following basic scientific proposition: the synthesis of a control system based on the synergetic approach makes it possible to obtain a system close to optimal (quasi-optimal, but after the modification of the synergetic synthesis method itself.) Here we also formulate the hypothesis of a connection between the time constants, using the ACAR method, with the optimal control switching time determined in the maximum method.

scholarly journals Necessary Conditions for Optimality for Stochastic Evolution Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
AbdulRahman Al-Hussein
Keyword(s):  
Control Problem ◽  
Evolution Equations ◽  
Necessary Conditions ◽  
Control Variable ◽  
Evolution System ◽  
Stochastic Evolution ◽  
The Maximum Principle ◽  
Stochastic Optimal Control Problem ◽  
Necessary Conditions For Optimality ◽  
Semigroup Approach

This paper is concerned with providing the maximum principle for a control problem governed by a stochastic evolution system on a separable Hilbert space. In particular, necessary conditions for optimality for this stochastic optimal control problem are derived by using the adjoint backward stochastic evolution equation. Moreover, all coefficients appearing in this system are allowed to depend on the control variable. We achieve our results through the semigroup approach.

scholarly journals Probabilistic analysis of getting into in restricted area by unmanned aerial vehical

2019 ◽  
pp. 46-54
Author(s):  
A. A. Lobaty ◽  
Y. F. Yatsyna ◽  
V. Y. Stepanov ◽  
A. Y. Bumai
Keyword(s):  
Mathematical Model ◽  
Unmanned Aerial Vehicle ◽  
Probabilistic Analysis ◽  
Stochastic Equation ◽  
Random Structure ◽  
Restricted Area ◽  
Phase Coordinates ◽  
Probability Densities ◽  
Aerial Vehicle ◽  
The Mathematical Model

The probabilistic analysis of crossing by an unmanned aerial vehicle (UAV) of the boundary of the no-fly area is solved. Condition of stating of the fact of the violation of the boundary of the restricted area is to stand of UAV within the area during a specified time. The substantiation of the mathematical model to research through linearized vector stochastic equation is carried out. The problem is solved by applying the theory of Markov processes of random structure with absorption of realizations at the boundary of a given area. Particularity of the approach is the contemporaneously consideration of two probability densities of the distribution of phase coordinates that describe the boundary conditions. In this case, two equations systems are solved for probabilistic moments: taking into account the absorption of realizations and without taking into account the absorption. The probability of an object gets into specified area and do not leave one during the time that necessary to notice the unmanned aerial vehicle at the restricted area.

scholarly journals Application of Agricultural Unmanned Aerial Vehicle for Processing Agricultural Crops

2021 ◽  
Vol 19 (3) ◽  
pp. 4-11
Author(s):  
D. V. Kudryavtsev ◽  
◽  
A. G. Magdin ◽  
A. D. Pripadchev ◽  
A. A. Gorbunov
Keyword(s):  
Unmanned Aerial Vehicle ◽  
Electronic Computer ◽  
Vertical Direction ◽  
Main Role ◽  
Agricultural Crops ◽  
Chemical Reagents ◽  
System A ◽  
Aerial Vehicle ◽  
The Moment ◽  
Control And Management

The paper considers a new method of processing all the necessary surfaces of crops through the use of an unmanned aerial vehicle (UAV). At the moment, the processing of all surfaces of tall shrubs and individual sections of trees with spot spraying of a chemical liquid on a large agro-industrial scale is not possible due to the imperfection of modern methods of processing agricultural crops. The proposed agricultural unmanned aerial vehicle, due to spot cultivation of crops, is able to increase yields and bring additional profits to agricultural farmers. Ease of operation is the most important advantage of the proposed UAV, for the processing of crops using this UAV does not require special skills, as, for example, when operating agricultural aircraft and ground equipment. Depending on the type of crops and the characteristics of the local landscape, the proposed UAV for agricultural purposes will be spraying in the vertical direction (top to bottom) or at a given angle by changing the position of the lever and its further fixation on the boom, as well as processing in the horizontal plane. The degree of direct human participation in the control and management of the UAV is determined based on the choice of the mode of differential application of fertilizers and pesticides for a given area - stationary or dynamic. In an idealized system, a programmed electronic computer (ECM) in the form of a computer, capable of adjusting the flight and the introduction of chemical reagents in a constant mode, will assume the main role in controlling the movement by analyzing the readings of the instrument sensors. All this can be implemented in practice at the proper level with appropriate funding, and the results of such a project in the future will open a new stage in the sectoral processing of crops and pole crops.

FINDING OF THE OPTIMAL PROGRAM CONTROL OF THE METHOD OF VARIATIONS

2015 ◽  
Vol 2 (1) ◽  
pp. 254-257 ◽  
Author(s):  
Григорьев ◽  
I. Grigorev ◽  
Мустафина ◽  
S. Mustafina
Keyword(s):  
Optimal Control ◽  
Numerical Solution ◽  
Optimal Control Problems ◽  
Control Area ◽  
Program Control ◽  
Control Problems ◽  
Optimal Program ◽  
Basic Concepts

The article outlines the basic concepts of the numerical solution of optimal control problems based on the method of variations in the control area

A Simaplied Adaptive Kalman Filtering Algorithm

2014 ◽  
Vol 1037 ◽  
pp. 378-382
Author(s):  
Lei Bo ◽  
Xin Yan Zhu
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Unmanned Aerial Vehicle ◽  
Kalman Filtering ◽  
Likelihood Estimation ◽  
Simplified Model ◽  
Filtering Algorithm ◽  
Aerial Vehicle ◽  
Kalman Filtering Algorithm ◽  
The Moment

The adaptive Kalman filtering algorithm was adopted in the online estimate of navigation state of unmanned aerial vehicle (UAV) as the simplified model often used. At the moment, the alogorithms those usually applied in this territory are not perfect. Analysed the adaptive Kalman filtering based on Maximum-Likelihood Estimation and Sage-Husa Kalman filtering, take advantage the characteristics of residue, choose the estimation windows, a simplified adaptive Kalman filtering algorithm was gived.

Conformal s-Shaped Inlet Design and Flow Field Characteristics of Flying Wing Unmanned Aerial Vehicle

2014 ◽  
Vol 940 ◽  
pp. 295-299
Author(s):  
Le Zhang ◽  
Zhou Zhou ◽  
Hong Bo Wang
Keyword(s):  
Power System ◽  
Unmanned Aerial Vehicle ◽  
Flow Characteristics ◽  
Aerodynamic Performance ◽  
Flow Distortion ◽  
Recovery Coefficient ◽  
Area Distribution ◽  
Flow Field Characteristics ◽  
Aerial Vehicle ◽  
The Moment

According to the stealth and conformal requirement of flying wing UAV(Unmanned Aerial Vehicle),an dorsal subsonic S-shaped inlet with long diffuser and large offset is designed. In the light of the characteristics of the inlet, new area distribution is created. In the study, the model with power system and the other model whose pipeline connected are established. The coupled numerical simulation is also carried out on the inflow/outflow integrated for flying wing UAV, and it is applied to study the longitudinal aerodynamic performance of UAV and the flow characteristics of inlet under different flight conditions. Results indicate: The longitudinal aerodynamic performance of the model with power system is close to the model with pipeline connected, but the moment characteristic of the former is better; The inlet characteristics are similar when Ma=0.5 and Ma=0.6; As the mach number increasing, the inlet performance decreases rapidly, Especially at the Ma = 0.7, there is a large low-pressure dominated region at the small angle of attack α = 2°, which leads to the total pressure recovery coefficient decreasing rapidly and the flow distortion increasing obviously.

scholarly journals On collective complete integrability according to the method of Thimm

1983 ◽  
Vol 3 (2) ◽  
pp. 219-230 ◽  
Author(s):  
Victor Guillemin ◽  
Shlomo Sternberg
Keyword(s):  
Integrable System ◽  
Symplectic Manifold ◽  
Lie Group ◽  
Geodesic Flow ◽  
Necessary Conditions ◽  
Complete Integrability ◽  
Moment Map ◽  
The Real ◽  
Completely Integrable System ◽  
The Moment

AbstractLet G be a Lie group acting in Hamiltonian fashion on a symplectic manifold M with moment map Φ:M → g*. A function of the form ƒ∘Φ where ƒ is a function on g* is called ‘collective’. We obtain necessary conditions on the G action for there to exist enough Poisson commuting functions on g* so that the corresponding collective functions on M form a completely integrable system. For the case G = O(n) or U(n) these conditions are sufficient. This explains Thimm's proof [17] of the complete integrability of the geodesic flow on the real and complex grassmanians. We also discuss related questions in the geometry of the moment map.

scholarly journals Family Perceptions and Coping Strategies in Cases of Intersexuality: Understanding their Significance

2008 ◽  
Vol 11 (2) ◽  
pp. 573-580 ◽  
Author(s):  
Medeiros Rocha Santos Moara de ◽  
Cristina Cavalcanti Ferreira de Araujo Tereza
Keyword(s):  
Family System ◽  
Necessary Conditions ◽  
Negative Impact ◽  
School Age Children ◽  
The Family ◽  
Family Perceptions ◽  
The Moment ◽  
The Individual ◽  
And Coping

Considering that the intersexual condition has a negative impact on the individual, their family, and society, health professionals and researchers have dedicated themselves to studying and assisting families faced with such an experience. The purpose of this study is to describe and understand the perceptions of primary caregivers regarding intersexuality and its developmental aspects. Six mothers and one grandmother of school age children were interviewed. The data indicated that living with the stigma of intersexuality can mean a permanent state of crisis within the family system. Issues such as guilt about the child's suffering and questions related to the choice of gender follow the family from the moment of diagnosis. It is suggested that the therapeutic follow-up should foster the necessary conditions for the family group to be organized as a model of competence, replacing the model of guilt.

scholarly journals Maximum principle for a nonlinear size-structured model of fish and fry management

2018 ◽  
Vol 23 (4) ◽  
pp. 533-552 ◽  
Author(s):  
Rong Liu ◽  
Guirong Liu
Keyword(s):  
Fixed Point ◽  
Maximum Principle ◽  
Normal Cone ◽  
Necessary Conditions ◽  
Adjoint System ◽  
Banach Fixed Point Theorem ◽  
Structured Model ◽  
The Maximum Principle ◽  
Necessary Conditions For Optimality ◽  
Theoretical Results

This paper investigates the maximum principle for a nonlinear size-structured model that describes the optimal management of the fish resources taking into account harvesting the fish and putting the fry. We establish the well-posedness of the state system by Banach fixed-point theorem. Necessary conditions for optimality are established via the normal cone technique and adjoint system. The existence of a unique optimal policy is proved via Ekeland's variational principle and fixed-point reasoning. Finally, some examples and numerical results demonstrate the effectiveness of the theoretical results in our paper.

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