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Navigation Technology of Unmanned Vehicles Based on Electromagnetic Induction 基于电磁感应的无人驾驶汽车导航技术
Q4 Engineering Pub Date : 2023-11-01 DOI: 10.17587/mau.24.583-589
A. V. Nikolaev, E. I. Starovoitov, D. V. Fedosov, A. V. Kolesnikov, M. A. Filin
The article deals with the issues of determining the position of unmanned vehicles (UV) in tunnels in the absence of signals from global navigation satellite systems (GNSS) and unfavorable operating conditions, such as low light, high humidity, radioactivity and others. The authors proposes a method for navigating unmanned vehicles based on the phenomenon of electromagnetic induction. On board the unmanned vehicle there is a high-frequency generator, a radio transmitting unit, a radio receiving unit, an information management system, and under the bearing or supporting surface of the unmanned vehicle propulsion unit there is a single-wire radio transmission line coordinated with the environment by means of an active load. The high-frequency generator transmits high-frequency current to the radio transmitting unit, which excites a single-wire radio transmission line, the single-wire radio transmission line emits a high-frequency radio signal supplied to the radio receiving unit for further conversion by the information management system into electrical control signals of an unmanned vehicle. Magnetic loops or electrical vibrators can be used as radiating antenna from the radio transmitting unit, and magnetic loops or ferrite probe excited by the high-frequency magnetic field of the radio transmission line can be used as receiving antenna. The article deals with the influence of the environment on the processes of radiation and reception of radio signals. Computer testing of the developed method was carried out with using three-dimensional electromagnetic modeling. Electrically small loop antennas located orthogonally were used to transmit and receive the radio signal. It was shown that the phase analysis of the transmission gain in both cases can provide ample information about the direction and deviation rate from the path which is set using the radio transmission line. The results of the study can be useful for the development of navigation systems for unmanned vehicles in conditions of limited availability of signals from GNSS.
本文讨论了在没有全球卫星导航系统(GNSS)信号和低光、高湿、放射性等不利操作条件下,隧道中无人驾驶车辆(UV)的位置确定问题。提出了一种基于电磁感应现象的无人驾驶车辆导航方法。该无人驾驶车上有高频发生器、无线电发射单元、无线电接收单元、信息管理系统,在无人驾驶车辆推进单元的轴承或支撑表面下有单线无线电传输线,通过主动负载与环境协调。高频发生器向无线电发射单元发送高频电流,无线电发射单元激励单线无线电传输线,单线无线电传输线发出高频无线电信号供给无线电接收单元,由信息管理系统进一步转换为无人驾驶车辆的电气控制信号。无线电发射单元可采用磁回路或电振子作为辐射天线,无线电传输线高频磁场激发的磁回路或铁氧体探头可作为接收天线。本文讨论了环境对无线电信号的辐射和接收过程的影响。利用三维电磁建模对所提出的方法进行了计算机验证。垂直放置的电小环形天线被用来发射和接收无线电信号。结果表明,对两种情况下的传输增益进行相位分析,可以提供利用无线电传输线设定的路径的方向和偏离率的充分信息。研究结果可用于在GNSS信号可用性有限的情况下开发无人驾驶车辆导航系统。
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引用次数: 0
Methods for Parametric Identifi cation of Systematic Errors of Onboard Measurements of Aerodynamic Angles in Aircraft Flight Tests 飞机飞行试验机载气动角测量系统误差的参数辨识方法
Q4 Engineering Pub Date : 2023-11-01 DOI: 10.17587/mau.24.598-607
S. G. Pushkov, L. L. Lovitsky, O. Yu. Gorshkova, I. V. Malakhova
Methods of the actual values of the angles of attack and slip determination in the technology of air data systems estimation using satellite navigation systems during aircraft flight tests of are stated. Also methods of parametric identification of mathematical models of on-board aerodynamic angles measurements errors are presented. The technology has been developed and implemented in the practice of flight tests at Flight Research Institute. The technology shows high efficiency of solving tasks of air data on-board systems, vertical separation systems, flight performance and takeoff and landing characteristics estimation in flight tests. The technology covers a wide range of issues of aerometric measurements, many of which have already been published. Here, attention is paid to measurements of aerodynamic angles. The features of determining the angles of attack and slip using data from air data systems, satellite and inertial navigation systems are shown. Equations for determining the angles of attack and slip during testing, factors of measurement errors, the structure of the mathematical model of the aerodynamic errors of the angle of attack on-board measurements are presented in a stationary approximation. Algorithms for solving problems in steady and unsteady modes of flight, takeoff and landing are considered. The completeness of the solution for the wind speed vector is noted. Estimates of methodological errors in determining aerodynamic angles using the technology are made. Compliance with modern requirements is showing. The effectiveness of the technology is confirmed by the materials of flight tests of a short-range aircraft. Typical examples of test materials presentation, features of measurements depending on the type of test mode, aerodynamic influence factors are shown.
阐述了利用卫星导航系统在飞机飞行试验中估算航空数据系统的实际迎角和偏转值的确定方法。提出了机载气动角测量误差数学模型的参数辨识方法。该技术已在飞行研究所的飞行试验实践中得到开发和实施。该技术在飞行试验中对机载系统、垂直分离系统、飞行性能和起降特性估算任务的求解中显示出高效率。该技术涵盖了广泛的空气测量问题,其中许多已经发表。在这里,关注的是空气动力学角度的测量。给出了利用航空数据系统、卫星和惯性导航系统数据确定迎角和滑移角的特点。给出了测试过程中攻角和滑移的确定公式、测量误差的影响因素以及机载测试中攻角气动误差的数学模型结构。研究了飞机的定常和非定常飞行、起飞和降落问题的求解算法。注意到风速矢量解的完备性。估算了使用该技术确定气动角度的方法误差。符合现代要求的情况正在显现。某型近程飞机的飞行试验资料证实了该技术的有效性。给出了典型的试验材料展示、不同试验模式下的测量特征、气动影响因素。
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引用次数: 0
Structural and Parametric Synthesis of Neural Network Controllers for Control Objects with Limiters 带限制器控制对象的神经网络控制器的结构与参数综合
Q4 Engineering Pub Date : 2023-10-31 DOI: 10.17587/mau.24.563-572
S. V. Feofilov, A. V. Kozyr, D. L. Khapkin
The article presents a methodology for the synthesis of digital control systems for nonlinear objects with limiters under conditions of incomplete information. Closed-loop tracking systems with negative feedback are considered. Artificial neural networks are proposed to build a controller, which is included in series with the control object. This approach is effective when known classical methods do not allow to synthesize control. This is the case, for example, if the mathematical model is essentially nonlinear and is not fully defined. The developed methods allow us to expand the class of technical systems, for which the direct (without using various kinds of simplifications) synthesis of control laws that are close to optimal is possible. In addition, neural network controllers possess the properties of robustness, adaptivity, and are initially digital, i.e. those qualities, which are very much in demand in practice. In article main attention is given to such problems, as a choice of neural network structure for neural simulator and neural controller, construction of training sample, ensuring convergence of the process of weights correction. For training neural networks the method of back propagation of error is used as a basic one. The effectiveness of the proposed technique is demonstrated by the example of the synthesis of a neuroregulator for a specific technical object and its comparison with classical control systems. It should be noted that today neural network technologies are widespread enough in various spheres of activity. The successes demonstrated in sound processing, image processing, automatic translation, in navigation systems, in big data processing are impressive. However, their application in automatic control systems is not so widespread. The authors of this article believe that the potential of artificial neural networks can be used in this direction. It should be understood that the use of neural networks is effective only under certain conditions and properties of the control object.
本文提出了一种在不完全信息条件下具有限制条件的非线性对象数字控制系统的综合方法。研究了具有负反馈的闭环跟踪系统。采用人工神经网络构建控制器,将控制器与控制对象串联起来。当已知的经典方法不允许综合控制时,这种方法是有效的。例如,如果数学模型本质上是非线性的并且没有完全定义,就会出现这种情况。所开发的方法使我们能够扩展技术系统的类别,从而可以直接(不使用各种简化)综合接近最优的控制律。此外,神经网络控制器具有鲁棒性、自适应性和初始数字化的特性,即在实践中非常需要的那些品质。本文主要研究了神经模拟器和神经控制器的神经网络结构选择、训练样本的构造、权值修正过程的收敛性等问题。对于神经网络的训练,误差的反向传播方法是一种基本方法。通过对特定技术对象的神经调节器的合成示例及其与经典控制系统的比较,证明了所提出技术的有效性。应该指出的是,今天神经网络技术在各个活动领域已经足够广泛。在声音处理、图像处理、自动翻译、导航系统、大数据处理等方面取得的成功令人印象深刻。然而,它们在自动控制系统中的应用并不广泛。本文的作者认为,人工神经网络的潜力可以在这个方向上使用。应该理解的是,使用神经网络是有效的,只有在一定的条件和控制对象的性质。
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引用次数: 0
Development and Analysis of an Intelligent Electroplating Control System Based on Associative Memory under Conditions of Predictable Uncertainty 可预测不确定条件下基于联想记忆的智能电镀控制系统的开发与分析
Q4 Engineering Pub Date : 2023-10-31 DOI: 10.17587/mau.24.573-582
D. S. Solovjev
The analysis of ways to improve the electroplated coating uniformity, among which the most promising for a multiassortment production is the current control, is presented in the article. The electroplating is considered as a control object and its mathematical model is described (with distributed coordinates based on the laws of Faraday and Ohm, Laplace’s partial differential equation) to current control. The search for optimal control is impossible in real time and requires lengthy preliminary calculations due to the complexity of the electroplating mathematical model. The use of associative memory in an intelligent system will make it possible to find a control that corresponds to the electroplating current state and the specified quality criterion (coating uniformity) in real time. An operation algorithm of the knowledge formation unit, which implies the use of an intelligent control system under predictable uncertainty with matrix-type associative memory, is proposed. The associative memory rows are filled based on the uniformity criterion approximation by the function and the choice of its values for given quality losses. An operation algorithm of the controller, which uses the control from the associative memory row with the closest weighted metric to the normalized values of the input variables, is considered. An operation algorithm of the quality assessment unit, which involves determining the influence of input variables on the output variable by calculating their weighting coefficients of significance, to determine the values of which the maximum values, range and maximum local changes are used for the probability of non-negativity of the output variable deviation from its given value, is proposed. A computational experiment was carried out to analyze the effectiveness of the proposed operation algorithms for the units of an intelligent electroplating control system based on associative memory in terms of the control search duration and loss in coating uniformity.
本文分析了提高镀层均匀性的方法,其中对多品种生产最有希望的是电流控制。将电镀过程作为控制对象,用基于法拉第定律和欧姆定律、拉普拉斯偏微分方程的分布坐标来描述其电流控制的数学模型。由于电镀数学模型的复杂性,实时搜索最优控制是不可能的,并且需要长时间的初步计算。在智能系统中使用联想记忆,可以实时找到与电镀电流状态和指定质量标准(涂层均匀性)相对应的控制。提出了一种基于矩阵型联想记忆的可预测不确定性智能控制系统的知识形成单元运算算法。根据该函数近似的均匀性准则和对给定质量损失的选择来填充联想存储器行。考虑了一种控制器的操作算法,该算法使用与输入变量的归一化值最接近的加权度量的关联存储器行进行控制。提出了一种质量评价单元的运算算法,通过计算输入变量的显著性加权系数来确定输入变量对输出变量的影响,以确定输出变量偏离给定值的非负概率的最大值、极差和最大局部变化值。通过计算实验,从控制搜索时间和镀层均匀性损失两方面分析了所提算法对基于联想记忆的智能电镀控制系统各单元的有效性。
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引用次数: 0
Synthesis of Nominal Reorientation Trajectories of a Small Satellite in Case of Failure of One Actuator 一个作动器失效情况下小卫星标称重定向轨迹的综合
Q4 Engineering Pub Date : 2023-10-31 DOI: 10.17587/mau.24.608-615
N. A. Elisov, A. V. Kramlikh, I. A. Lomaka
The paper devotes to the development of the approach for synthesis of reorientation trajectory of a small satellite. We consider the nanosatellite angular motion described by the kinematic quaternion equations. The aerodynamic and gravitational disturbance torques are taken into account in the angular motion model. Reorientation of a small satellite occurs from some initial position. In addition, the final angular velocity components do not exceed 0.1 °/s. The control program is given as the even Fourier series. The even Fourier series were chosen due to they can describe a complex dependency accurately. The coefficients of the even Fourier series are defined by the differential evolution algorithm. Previously, this approach has shown its efficiency for the cases of normal operation of the actuators. The paper presents the approach of synthesis of reorientation trajectory in case of failure of the actuator. The problem of reorientation reduces to optimization problem of searching of 34 coefficients of the even Fourier series that provided the achievement of the desired boundary conditions. The numerical results are given that approved the possibility of solution of the reorientation problem of small satellite in case of failure of the actuator. To compare the control programs, research was made between the cases of normal operation of the actuator and failure of the actuator. The value of the control torque differs by the order of magnitude in case of failure of the actuator. Despite this, its value is achievable for the magnetic coils.
本文研究了一种小卫星再定向轨迹的合成方法。我们考虑用运动学四元数方程来描述纳米卫星的角运动。在角运动模型中考虑了空气动力和重力扰动力矩。小卫星从某个初始位置重新定位。此外,最终角速度分量不超过0.1°/s。控制程序以偶傅里叶级数的形式给出。选择偶数傅里叶级数是因为它们可以准确地描述复杂的依赖关系。偶傅里叶级数的系数由微分进化算法定义。在执行机构正常运行的情况下,该方法已显示出其有效性。提出了在作动器失效情况下的定向轨迹综合方法。重新定向问题简化为寻找34个偶傅立叶级数系数的优化问题,这些系数提供了所需边界条件的实现。给出的数值结果证实了在作动器失效情况下小卫星定向问题求解的可能性。为了对两种控制方案进行比较,研究了执行器正常运行和失效的情况。在执行机构失效的情况下,控制扭矩的值会有数量级的差异。尽管如此,它的价值是可以实现的磁线圈。
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引用次数: 0
Method of Virtual Sensor Design for Faulty Physical Sensor Replacement 故障物理传感器更换中的虚拟传感器设计方法
Q4 Engineering Pub Date : 2023-10-09 DOI: 10.17587/mau.24.526-532
A. N. Zhirabok, A. V. Zuev, E. Yu. Bobko
The paper considers the problem of virtual sensor design for nonlinear dynamic systems with non-smooth nonlinearities described by continuous-time models for faulty physical sensor replacement. The main purpose of virtual sensors is generating the estimates of the unmeasured components of the considered system to provide additional information for effective control and fault diagnosis. Besides, virtual sensors can be used for faulty physical sensor replacement. The methods of virtual sensor design for solving this problem differ from standard procedure since information from faulty physical sensor does not use to design the virtual sensor replacing this sensor. It is assumed that to solve the problem, the system is equipped by diagnostic system allowing detecting faulty sensor. For every such a sensor, the virtual sensor generating estimate replacing the faulty sensor is designed. To solve the problem, so-called logic-dynamic approach is used which does not guarantee optimal solution but uses only methods of linear algebra to solve the problem for systems with non-smooth nonlinearities. This approach contains three steps. Initially, the nonlinear term is removed from system and linear model is designed. Then, a possibility to estimate the faulty sensor and to insert in the model the transformed nonlinear term is checked. Finally, stability of sensor is provided. The virtual sensor can be designed in identification canonical form or Jordan canonical form. The advantage of the first form is a standard procedure of the virtual sensor design while Jordan form allows obtaining simpler solution. The relations allowing designing the virtual sensor as in identification canonical as Jordan canonical form are derived.
本文研究了用连续时间模型描述非光滑非线性的非线性动态系统的虚拟传感器设计问题,用于故障物理传感器的更换。虚拟传感器的主要目的是产生被考虑系统的未测量组件的估计,为有效控制和故障诊断提供额外的信息。此外,虚拟传感器还可以用于故障物理传感器的更换。解决这一问题的虚拟传感器设计方法与标准程序不同,因为来自故障物理传感器的信息不用于设计取代该传感器的虚拟传感器。假设为了解决这一问题,系统配备了能够检测故障传感器的诊断系统。针对每一个传感器,设计了虚拟传感器生成估计来代替故障传感器。为了解决这一问题,使用了所谓的逻辑-动态方法,这种方法不保证最优解,而只使用线性代数方法来解决具有非光滑非线性的系统的问题。这种方法包含三个步骤。首先,从系统中去除非线性项,设计线性模型。然后,对故障传感器进行估计,并将变换后的非线性项插入到模型中进行检验。最后给出了传感器的稳定性。虚拟传感器可设计为识别规范型或约当规范型。第一种形式的优点是虚拟传感器设计的标准程序,而约旦形式允许获得更简单的解决方案。推导了虚拟传感器的识别规范与乔丹规范的关系。
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引用次数: 0
Control Systems Synthesis of Maximum Robust Stability Degree Based on Vertex Critical Root Diagrams 基于顶点临界根图的控制系统最大鲁棒稳定性综合
Q4 Engineering Pub Date : 2023-10-09 DOI: 10.17587/mau.24.519-525
S. A. Gayvoronskiy, Tatiana Al. Ezangina, A. V. Sobol
The article solves the problem of operative selection of the redundant onboard equipment complex components configuration of the suitable in the current operating conditionаs in the interests of ensuring high fault tolerance of the complex, as well as achieving other operational and technical characteristics. The basis of the redundancy management system of the complex consists of configuration supervisors — as program subjects according to the number of its competitive configurations of heterogeneous and nonuniform equipment worked out in advance. The choice of the preferred configuration is proposed to be carried out by performing multi-level arbitration, which includes two phases of paired arbitration of computers and paired arbitration of configuration. It is proposed to include the means of both types of arbitration in each configuration supervisor, which ensures its self-sufficiency when participating in a competitive selection. The second part of the article is devoted to the computer’s arbitration for the implementation of redundancy management functions. The approach is applicable to a computing environment with many comparable computing devices and contains 2 phases. In the first phase, a preliminary selection of a competing pair of computers — as applicants for the implementation of redundancy management functions in them is carried out. In the break between the phases, the pair computers implement the procedures for pair arbitration of configurations given in the first part of the article. In the second phase, the final choice of the -computer is made, in which the supervisor who won the arbitration will be implemented. In order to achieve the maximum possible centralization of selection procedures and, as a consequence, the exclusion of " bottlenecks" in terms of reliability of places, additionally proposed: the organization of secure data exchange between computers based on distributed registry technology; the procedure of paired arbitration of computers, consisting in mutual cross-validation of dominant supervisors of a pre-allocated pair by comparing preference matrices, including information parcels of arbitration objects. A methodological example that demonstrates the features of the system functioning in the conditions of computers degradation is given. The proposed approach can be used to solve the problems of reconfiguration control of heterogeneous computing facilities of technical objects on-board equipment complexes.
本文解决了冗余机载设备复杂部件配置在当前运行条件下的操作选择问题,以保证复杂部件的高容错性,以及实现其他操作和技术特性。该综合体冗余管理系统的基础是由配置监督员作为程序主体,根据预先制定的异构和非均匀设备的竞争配置数量组成。提出了通过执行多级仲裁来进行优选配置的选择,其中包括计算机配对仲裁和配置配对仲裁两个阶段。建议在每个配置管理器中包含两种类型的仲裁手段,以确保其在参与竞争性选择时的自给自足。文章的第二部分专门介绍了计算机仲裁对冗余管理功能的实现。该方法适用于具有许多可比较计算设备的计算环境,并包含两个阶段。在第一阶段,初步挑选一对相互竞争的电脑,作为在其中实施冗余管理功能的申请人。在这两个阶段之间的间歇,对计算机执行本文第一部分中给出的对配置进行仲裁的程序。在第二阶段,最终选择-计算机,其中仲裁获胜的主管将被执行。为了最大限度地实现选择程序的集中,从而排除地点可靠性方面的“瓶颈”,另外建议:组织基于分布式登记技术的计算机之间的安全数据交换;计算机配对仲裁的过程,包括通过比较偏好矩阵(包括仲裁对象的信息包)对预分配对的优势监督进行相互交叉验证。给出了一个方法学上的例子,说明了系统在计算机退化条件下的功能特征。该方法可用于解决机载设备综合体中技术对象异构计算设施的重构控制问题。
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引用次数: 0
Interactive Quadruped Felid Class Robot with a Neural Processing Unit 具有神经处理单元的互动式四足猫科类机器人
Q4 Engineering Pub Date : 2023-10-09 DOI: 10.17587/mau.24.542-550
D. A. Wolf, R. V. Meshcheryakov, A. O. Iskhakova
The authors consider the urgent task of developing bionic robots, in particular robots on four legs. Their advantages are the ability to move on uneven terrain, to perform reconnaissance, rescue and other dangerous work, where they could replace humans. A review of the existing best-known and most functional bionic four-legged robots is given, with descriptions of their strengths and weaknesses, as well as peculiarities of their movement and use. The main problems in the development of such devices and their control systems are highlighted. The article provides information on the research and development of an interactive bionic robot of the felid class, whose skeletal structure control implementation is deeply explored. The features of hardware and software implementation of the robot are considered, and schematic and real images of the construction are presented. The application of a microcomputer device with a neural processing unit to solve the problem of machine vision is highlighted. The results of testing machine vision using the Yolo3 neural network in streaming video mode are presented. The average accuracy of the open face recognition as a result of the tests was 95 %. For different degrees of occlusion, the average score was 80 %, and occlusion variants in which the neural network was unable to recognize faces were also identified. The article concludes with a discussion of the advantages and disadvantages of the proposed robot and the possibility of its application in human life, including the solution of various practical tasks.
作者认为开发仿生机器人,特别是四条腿的机器人是当务之急。它们的优点是能够在不平坦的地形上移动,执行侦察、救援和其他危险的工作,它们可以取代人类。回顾了现有最知名和功能最齐全的仿生四足机器人,描述了它们的优缺点,以及它们的运动和使用特点。强调了此类装置及其控制系统发展中存在的主要问题。本文介绍了一种互动式野外仿生机器人的研究与开发,并对其骨骼结构控制的实现进行了深入的探讨。考虑了机器人的硬件和软件实现特点,给出了机器人的结构示意图和实景图。重点介绍了带神经处理单元的微机装置在解决机器视觉问题中的应用。给出了在流视频模式下使用Yolo3神经网络进行机器视觉测试的结果。测试结果表明,开放式人脸识别的平均准确率为95%。对于不同程度的遮挡,平均得分为80%,并且还识别出了神经网络无法识别人脸的遮挡变体。文章最后讨论了所提出的机器人的优缺点及其在人类生活中应用的可能性,包括各种实际任务的解决方案。
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引用次数: 0
Grasping of Unknown Objects with an Autonomous Manipulator: State of the Art, Problems and Prospects 自主机械手抓取未知物体:技术现状、问题与展望
Q4 Engineering Pub Date : 2023-10-09 DOI: 10.17587/mau.24.533-541
A. D. Voronkov, S. A. K. Diane
To fulfill the practical needs of modern robotics, it is necessary to develop approaches for grasping unknown objects, since in the real world the robot faces a large variety of them. Approaches that imply the availability of complete information about the objects of the working area (3D model, weight and size characteristics) are not practical and can only be used in controlled conditions, such as working on a conveyor with standard details. Therefore, the scientific community and a number of industries are interested in research methods that increase the robot’s ability to adapt to new, unfamiliar conditions. This article presents main problems and research directions in the field of visual scene perception and grasping unknown objects by a manipulative robot. We discuss the differences in existing approaches according to various criteria, as well as advantages and disadvantages of existing solutions. The article may be useful to get acquainted with the subject area.
为了满足现代机器人技术的实际需要,有必要开发抓取未知物体的方法,因为机器人在现实世界中面临着各种各样的未知物体。意味着可以获得有关工作区域对象的完整信息(3D模型、重量和尺寸特征)的方法是不实用的,只能在受控条件下使用,例如在具有标准细节的传送带上工作。因此,科学界和一些行业对提高机器人适应新的、不熟悉的环境的能力的研究方法感兴趣。本文介绍了操作机器人在视觉场景感知和抓取未知物体方面存在的主要问题和研究方向。我们根据各种标准讨论了现有方法的差异,以及现有解决方案的优点和缺点。这篇文章可能对熟悉这个主题领域很有用。
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引用次数: 0
Design of Discrete and Hybrid Nonlinear Control Systems 离散和混合非线性控制系统的设计
Q4 Engineering Pub Date : 2023-10-09 DOI: 10.17587/mau.24.507-518
A. R. Gaiduk
In this article the new method of discrete control systems design for nonlinear plants with differentiable nonlinearities is suggested. The increasing demands on the quality of control processes and the widespread use of computer technology provide ample opportunities for the design and implementation of digital control systems. However, discrete models of control plants are needed to solve this problem. In the case of linear plants, such models are created on the basis of z-transformation, Euler or Tustin formulas. In the case of nonlinear plants, these transformations are not applicable, so a large number of approximate discretization methods have been developed to date. Euler and Runge-Kutt transformations are used for these purposes most often, but they lead to satisfactory results only with very small period of discretization. In the case of automatic control systems, this requires the use of digital automation tools with very high speed, which is often economically impractical. Methods of discretization with a long period were most often developed on the basis of decomposition into series of the right-hand sides of the differential equations, transformed on Euler. Here, firstly, the problem of selecting the number of the series members, which to be retained arises, and secondly, already in the third or fourth order of the plant, the calculating ratios turn out to be extremely complex. The discretization method suggested below differs in that it is not the equations of nonlinear plants in the Cauchy form that are discretized, but the corresponding quasilinear model. In this case, a modified trapezoid method is used, and the discretization purpose is not the most accurate approximation of the original equations of the plant, but the stability of a closed nonlinear control system with rather big period. This system is designed using the algebraic polynomial-matrix method for designing of the nonlinear control systems. As a result, a hybrid nonlinear system with fairly simple algebraic calculation expressions is formed. The suggested approach makes it possible to create the control systems for nonlinear controlled plants using conventional computational automation tools.
本文提出了具有可微非线性的非线性对象的离散控制系统设计的新方法。对控制过程质量要求的不断提高和计算机技术的广泛应用为数字控制系统的设计和实施提供了充分的机会。然而,为了解决这一问题,需要离散控制对象模型。在线性工厂的情况下,这样的模型是基于z变换,欧拉或Tustin公式创建的。在非线性对象的情况下,这些变换是不适用的,所以大量的近似离散化方法已经发展到今天。欧拉和龙格-库特变换最常用于这些目的,但它们只能在很小的离散周期内得到令人满意的结果。在自动控制系统的情况下,这需要使用速度非常快的数字自动化工具,这在经济上通常是不切实际的。长周期的离散化方法通常是在微分方程的右边分解成一系列的基础上发展起来的,在欧拉变换上。在这里,首先,产生了选择要保留的系列成员数目的问题;其次,已经在工厂的第三或第四阶,计算比率变得极其复杂。下面提出的离散化方法的不同之处在于不是将柯西形式的非线性植物方程离散化,而是将相应的拟线性模型离散化。在这种情况下,采用了一种改进的梯形法,离散化的目的不是最精确地逼近被控对象的原方程,而是保证一个周期较大的非线性封闭控制系统的稳定性。本系统采用非线性控制系统设计的代数多项式矩阵法进行设计。从而形成了一个代数计算表达式相当简单的混合非线性系统。所提出的方法使得使用传统的计算自动化工具创建非线性被控对象的控制系统成为可能。
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Mekhatronika, Avtomatizatsiya, Upravlenie
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