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Construction of Solutions to a Boundary Value Problem with Singularity for a Nonlinear Parabolic system

Journal of Applied and Industrial Mathematics 2021年第4期15卷 616-626页

作者： Kazakov, A.L. Kuznetsov, P.A. Spevak, L.F. Matrosov Institute for System Dynamics and Control Theory Irkutsk664033 Russia Institute of Engineering Science Ekaterinburg620049 Russia Ural State University of Railway Transport Ekaterinburg620034 Russia

Abstract: We consider a system of two nonlinear second-order parabolic equations with *** of this type are applied in chemical kinetics to describe reaction-diffusion processes. Weprove the existence and uniqueness theorem of an analytic solution having the diffusion-wave typeat a given wave front. The proof is constructive, and the solution had the form of a power serieswith recursively calculated coefficients. Moreover, we propose some numerical algorithm based onthe boundary element method whose verification uses the segments of analytic solutions. © 2021, Pleiades Publishing, Ltd.

关键词： Boundary element method

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Multi-Objective Load Distribution Optimization for Hot Strip Mills

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Journal of Iron and Steel Research International 2013年第2期20卷 27-32,61页

作者： JIA Shu-jin LI Wei-gang LIU Xiang-hua DU Bin Department of Automation and Key Laboratory of System Control and Information Processing Shanghai Jiao Tong University Automation Division of Research Institute Baosteel Group Corporation College of Information Science and Engineering Northeastern University Research Institute of Science and Technology Northeastern University

Load distribution is a key technology in hot strip rolling process, which directly influences strip product quality. A multi-objective load distribution model, which takes into account the rolling force margin balance, roll wear ratio and strip shape control, is presented. To avoid the selection of weight coefficients encountered in single objective optimization, a multi-objective differential evolutionary algorithm, called MaximinDE, is proposed to solve this model. The experimental results based on practical production data indicate that MaximinDE can obtain a good pareto-optimal solution set, which consists of a series of alternative solutions to load distribution. Decision-makers can select a trade-off solution from the pareto-optimal solution set based on their experience or the importance of ob- iectives. In comparison with the empirical load distribution solution, the trade-off solution can achieve a better per- formance, which demonstrates the effectiveness of the multi-objective load distribution optimization. Moreover, the conflicting relationship among different objectives can be also found, which is another advantage of multi-objective load distribution optimization.

关键词： hot strip mill load distribution multi-objective optimization

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Real-time detection system of bird nests on power transmission lines based on lightweight network

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International Journal of Wireless and Mobile Computing 2023年第3-4期24卷 217-225页

作者： Yang, Haopeng Zheng, Enrang Wang, Yichen Shen, Junge School of Electrical and Control Engineering Shaanxi University of Science and Technology Shaanxi Xi'an China Unmanned System Research Institute Northwestern Polytechnical University Shaanxi Xi'an China

In response to real-time detection requirements for bird nests and other hidden danger on power grid transmission lines, this paper proposes a lightweight real-time detection system of bird nests. In terms of bird nests on transmission towers, there are many small targets, which may lead to possible loss of data. Thereby, the algorithm detects small targets of bird nests through three scales: low, middle and high scales. At the same time, the DIoU-NMS calculation method is utilised to make the prediction box closer to the real box. The average accuracy of the improved algorithm is 90.05%, 7.38% higher than the original one. The detection speed of the detection system of bird nests in NVIDIA Xavier NX, an embedded device, is 26.3 FPS. With higher detection accuracy and real-time detection speed, the requirements of high-precision and real-time inspection of State Grid in line inspection can be met. © 2023 Inderscience Enterprises Ltd.

关键词： Birds

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Decentralized attitude synchronization tracking control for multiple spacecraft under directed communication topology

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Chinese Journal of Aeronautics 2016年第4期29卷 995-1006页

作者： Zheng Zhong Xu Ying Zhang Lisong Song Shenmin College of Astronautics Nanjing University of Aeronautics and Astronautics Science and Technology on Information System Engineering Laboratory Jiangxi Ship Sailing Instrument Co.Ltd Center for Control Theory and Guidance Technology Harbin Institute of Technology

This paper studies the attitude synchronization tracking control of spacecraft formation flying with a directed communication topology and presents three different controllers. By introducing a novel error variable associated with rotation matrix, a decentralized attitude synchronization controller, which could obtain almost global asymptotical stability of the closed-loop system, is developed. Then, considering model uncertainties and unknown external disturbances, we propose a robust adaptive attitude synchronization controller by designing adaptive laws to estimate the unknown parameters. After that, the third controller is proposed by extending this method to the case of time-varying communication delays via Lyapunov-Krasovskii analysis. The distinctive feature of this work is to address attitude coordinated control with model uncertainties, unknown disturbances and time-varying delays in a decentralized framework, with a strongly connected directed information flow. It is shown that tracking and synchronization of an arbitrary desired attitude can be achieved when the stability condition is satisfied. Simulation results are provided to demonstrate the effectiveness of the proposed control schemes. (C) 2016 Production and hosting by Elsevier Ltd. on behalf of Chinese Society of Aeronautics and Astronautics. This is an open access article under the CC BY-NC-ND license.

关键词： Attitude synchronization Directed topology Lyapunov stability Spacecraft formation Time delays

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Barrier Construction of the Homicidal Chauffeur Game Considering Speed Descent of the Car

Barrier Construction of the Homicidal Chauffeur Game Conside...

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2024 IEEE International Conference on control science and systems engineering, ICCSSE 2024

作者： Zhan, Ziyi Zhang, Yiqun Zhang, Pengfei Control Science and Engineering Beijing Institute of Electronic System Engineering Beijing China Institute of Mechanics Chinese Academy of Sciences Beijing China

ISBN: (纸本)9798331517199

The Homicidal Chauffeur game is a classic pursuit-evasion problem for its significant application in aerospace, robot control, and military. Different from the well-known Isaacs' Homicidal Chauffeur game in which the car's speed is constant, we assume that the car's speed decreases during turns, reflecting the energy limitations in real-world applications. The paper aims to derive the optimal strategies and construct a barrier separating the capture and evasion zones. Initially, we simplify the six- dimensional problem to a three-dimensional one. Subsequently, we deduce the optimal strategy and construct the barrier using the Hamilton-Jacobi-Isaacs equation and backward induction method. A new barrier appears where the optimal strategy of the pursuer is different from the traditional one. That is, when the pursuer's speed is greater than a critical value, the optimal strategy is to apply maximum control;when the pursuer's speed is less than the critical speed, the optimal strategy is to apply zero control. © 2024 IEEE.

关键词： barrier construction Hamilton-Jacobi-Isaacs Homicidal Chauffeur games optimal strategy speed descent

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Finite-Time Attitude Synchronization for Spacecraft Formation Flying via Output Feedback 33

Finite-Time Attitude Synchronization for Spacecraft Formatio...

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第三十三届中国控制会议

作者： ZHANG Jian YAN Genting HU Qinglei WANG Danwei Department of Control Science and Technology Harbin Institute of Technology Aerospace System Engineering Shanghai School of Electrical and Electronic Engineering Nanyang Technological University

ISBN: (纸本)9781479947249

In this paper,finite-time attitude synchronization problem for spacecraft formation flying is investigated without angular velocity *** output feedback control law combined with a filter is developed by using the homogenous system theory,which can ensure the attitude of spacecraft in the formation synchronized in a finite time with zero finial angular *** proof is carried out to demonstrate finite-time stability of the closed-loop system ***,numerical simulation results show the effectiveness of proposed control law.

关键词： Spacecraft formation flying,Attitude synchronization,Finite-time,Output feedback

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A dynamic nonlinearity model for a piezo-actuated positioning system

A dynamic nonlinearity model for a piezo-actuated positionin...

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2005 IEEE International Conference on Mechatronics, ICM '05

作者： Yu, Yuan-Chen Lee, Ming-Kung IEEE Institute of System and Control Engineering National Kaohsiung First University of Science and Technology Kaohsiung Taiwan

ISBN: (纸本)0780389980

The piezoelectric actuator (PEA) is commonly used in the micro-nano precision positioning. However, PEA exhibits nonlinearities, such as hysteresis, saturation, and creep. Also, together with the actuated stage, mechanical and electrical dynamics exist. For ultra high precision and fast response positioning control, all those dynamics and nonlinearities have to be taken into account. In this paper, a simple dynamic nonlinearlty control model for a piezoactuated positioning system was proposed, in which a sandwich model was proposed for describing the nonlinearities of hysteresis and creep and a total nonlinear dynamic control block diagram with the sandwich model embedded was derived. This model makes the identification and compensation of the piezoelectric nonlinearities much easier due to the simplicity of the model. © 2005 IEEE.

关键词： Piezoelectric devices

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Mixed-integer programming for optimal path planning of robotic manipulators

Mixed-integer programming for optimal path planning of robot...

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2011 7th IEEE International Conference on Automation science and engineering, CASE 2011

作者： Ding, Hao Reißig, Gunther Groß, Dominic Stursberg, Olaf Institute of Control and System Theory Department of Electrical Engineering and Computer Science University of Kassel Germany Germany

ISBN: (纸本)9781457717307

One of the fundamental problems in the field of robotic motion planning is to safely and efficiently drive the end effector of a robotic manipulator to a specified goal position. Here, safety refers to the requirement that the robotic manipulator must have no collision with surrounding obstacles, and efficiency requires that some predefined cost function is minimized. In addition, kinematic and dynamic constraints have to be satisfied. These requirements lead to non-convex optimization problems, which may be approximated by mixed-integer linear programs (MILPs). The solution of the latter, however, is often intolerably complex due to a huge number of binary decision variables. In the present paper, we consider motion planning scenarios with polyhedral obstacles and velocity constraints for the joint positions of the robotic manipulator. We provide a geometric result whose application leads to MILPs with drastically reduced numbers of binary decision variables. Computational efficiency is demonstrated for two- and three-link manipulators interacting with obstacles, where the number of simplex steps during the MILP solution is reduced by a factor of roughly 200 over previous methods. We also demonstrate the application of the proposed method to an industrial robot. © 2011 IEEE.

关键词： Cost functions

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A knowledge-based express model of operational plan containing uncertainties 20

A knowledge-based express model of operational plan containi...

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2nd World Symposium on Software engineering, WSSE 2020

作者： Jin, Xin Wang, Xinnian Yu, Yan Science and Technology on Information System Engineering Laboratory Nanjing Research Institute of Electronic Engineering Nanjing Jiangsu China Science and Technology on Information System Engineering Laboratory Beijing Research Institute of Control and Electronic Technology Beijing China

ISBN: (纸本)9781450387873

Under the new confrontational mode of "Multi-Domain Operations", "change"becomes the key to victory. Uncertainty becomes an important challenge to operational command decision making. Traditional operational plans are made according to deterministic assumptions and has very limited ability to adapt to changes. Only human can adapt according to his own understanding to plans. This study proposes a knowledge-based express model of operational plan containing uncertainties. It can formally describe operational plans with uncertain starting time, optional strategies and dynamic calculated parameters, and can be executed by machine. It may be used in wargames, autonomous action monitoring, and other intelligent applications. © 2020 ACM.

关键词： Knowledge representation

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controlling the depth of a gliding robotic dolphin using dual motion control modes

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science China(Information sciences) 2020年第9期63卷 217-230页

作者： Jian WANG Zhengxing WU Min TAN Junzhi YU State Key Laboratory of Management and Control for Complex Systems Institute of AutomationChinese Academy of Sciences University of Chinese Academy of Sciences State Key Laboratory for Turbulence and Complex System Department of Mechanics and Engineering ScienceBIC-ESAT College of Engineering Peking University

This paper investigates the performance of the dual mode, namely flipper mode and central pattern generator(CPG) mode, for controlling the depth of a gliding robotic dolphin. Subsequent to considering the errors in dynamic models, we propose a depth control system that combines the line-of-sight(LOS)method with an adaptive control approach(ACA) to deal with uncertainties in the model parameters. First,we establish a full-state dynamic model to conduct simulations and optimize the parameters used in later aquatic experiments. Then, we use the LOS method to transform the control target from the depth to the pitch angle and employ the ACA to calculate the control signal. In particular, we optimize the ACA’s control parameters using simulations based on our dynamic model. Finally, our simulated and experimental results demonstrate not only that we can successfully control the robotic dolphin’s depth, but also that its performance was better than that of the CPG-based control, thus indicating that we can achieve three-dimensional motion by combining flipper-based and CPG-based control. The results of this study suggest valuable ideas for practical applications of gliding robotic dolphins.

关键词： gliding robotic dolphin depth control dual motion adaptive control approach

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