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A heat wave problem for a degenerate nonlinear parabolic equation with a specified source function

AIP Conference Proceedings 2018年第1期2053卷

作者： A. L. Kazakov P. A. Kuznetsov L. F. Spevak 1Matrosov Institute for System Dynamics and Control Theory Siberian Branch of the Russian Academy of Sciences 134 Lermontova St. 664033 Irkutsk Russia 2Institute of Engineering Science Ural Branch of the Russian Academy of Sciences 34 Komsomolskaya St. 620049 Ekaterinburg Russia

A nonlinear parabolic heat conduction equation with a source is discussed, for which solutions of the heat wave propagating against a cold background at a finite velocity are studied. A new theorem of the existence and uniqueness of heat waves is proved. A particular case is studied in detail, when the heat wave is invariant and its construction reduces to solving an ordinary differential equation. For the numerical construction of invariant heat waves, an algorithm based on the boundary element method is proposed. Test examples are solved.

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Convergence analysis of time-optimal model predictive control under limited computational resources

Convergence analysis of time-optimal model predictive contro...

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European control Conference (ECC)

作者： Christoph Rosmann Frank Hoffmann Torsten Bertram Institute of Control Theory and Systems Engineering Technische Universität Dortmund Germany

Model predictive control is a means to transit a nonlinear dynamic system from its current towards a target state subject to state and control constraints. A model-predictive controller based on Timed-Elastic-Bands (TEB-MPC) is particular suitable for time-optimal control. This contribution investigates the convergence behavior of the sparse TEB-MPC approach on two non-trivial benchmark systems under limited computational resources. It evaluates the trade-off between accuracy of the approximate optimal solution and computational efficiency. An alternative formulation of the original TEB-MPC with local transition intervals results in a higher dimensional but albeit banded problem structure. Furthermore, both formulations are compared for two different solvers, an unconstrained least-squares optimization and a primary nonlinear program. For low sampling times the former exhibits a faster rate of convergence, however the later is already superior for medium sample times. In practice, the selection of TEB-MPC realizations depends on the order and complexity of the dynamic systems contrasted with the computational resources and demands on real-time control.

关键词： Optimization Convergence Optimal control Trajectory Jacobian matrices Nonlinear dynamical systems Linear programming

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Weighted H-index for identifying influential spreaders

arXiv

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arXiv 2017年

作者： Yu, Senbin Gao, Liang Wang, Yi-Fan Gao, Ge Zhou, Congcong Gao, Zi-You Institute of Transportation Systems Science and Engineering Moe Key Laboratory of Urban Transportation System Theory and Technology State Key Laboratory of Rail Traffic Control and Safety Center of Cooperative Innovation for Beijing Metropolitan Transportation Beijing Jiaotong University Beijing100044 Yinchuan Municipal Bureau of Big Data Management and Service Yinchuan750011

Spreading is a ubiquitous process in the social, biological and technological systems. Therefore, identifying influential spreaders, which is important to prevent epidemic spreading and to establish effective vaccination strategies, is full of theoretical and practical significance. In this paper, a weighted h-index centrality based on virtual nodes extension is proposed to quantify the spreading influence of nodes in complex networks. Simulation results on real-world networks reveal that the proposed method provides more accurate and more consistent ranking than the five classical methods. Moreover, we observe that the monotonicity and the computational complexity of our measure can also yield excellent performance. Copyright © 2017, The Authors. All rights reserved.

关键词： Complex networks

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Revoking amplitude and oscillation deaths by low-pass filter in coupled oscillators

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Physical Review E 2017年第6期95卷 062206-062206页

作者： Wei Zou Meng Zhan Jürgen Kurths Department of Physics Hong Kong Baptist University Kowloon Tong Hong Kong SAR People's Republic of China State Key Laboratory of Advanced Electromagnetic Engineering and Technology School of Electrical and Electronic Engineering Huazhong University of Science and Technology Wuhan 430074 People's Republic of China Potsdam Institute for Climate Impact Research Telegraphenberg Potsdam D-14415 Germany Institute of Physics Humboldt University Berlin Berlin D-12489 Germany Department of Control Theory Nizhny Novgorod State University Gagarin Avenue 23 606950 Nizhny Novgorod Russia

When in an ensemble of oscillatory units the interaction occurs through a diffusion-like manner, the intrinsic oscillations can be quenched through two structurally different scenarios: amplitude death (AD) and oscillation death (OD). Unveiling the underlying principles of stable rhythmic activity against AD and OD is a challenging issue of substantial practical significance. Here, by developing a low-pass filter (LPF) to track the output signals of the local system in the coupling, we show that it can revoke both AD and OD, and even the AD to OD transition, thereby giving rise to oscillations in coupled nonlinear oscillators under diverse death scenarios. The effectiveness of the local LPF is proven to be valid in an arbitrary network of coupled oscillators with distributed propagation delays. The constructive role of the local LPF in revoking deaths provides a potential dynamic mechanism of sustaining a reliable rhythmicity in real-world systems.

关键词： Coupled oscillators

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Consensus of Networked Multi-agent Systems with Variable Delay: Predictive Scheme

Consensus of Networked Multi-agent Systems with Variable Del...

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Chinese control Conference

作者： Changjiang Li Guo-Ping Liu Center for Control Theory and Guidance Technology Harbin Institute of Technology School of Engineering University of South Wales

ISBN: (纸本)9781509009107

This paper investigates consensus problems of discrete-time networked multi-agent systems (NMAS) with directed network topology and variable delay. A novel consensus protocol based on predictive control scheme is proposed to compensate the variable network delay actively. Necessary conditions are given for NMASs with fixed topology and variable delay to achieve consensus under mild assumptions. Simulation examples are supplied to illustrate the effectiveness of the theoretical results.

关键词： Variable delay Predictive Networked multi-agent system Predictive Multi-agent systems Predictive control Network topology

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Consensus of Networked Multi-gent Systems with Variable Delay:Predictive Scheme

Consensus of Networked Multi-gent Systems with Variable Dela...

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第35届中国控制会议

作者： Changjiang Li Guo-Ping Liu Center for Control Theory and Guidance Technology Harbin Institute of Technology School of Engineering University of South Wales

This paper investigates consensus problems of discrete-time networked multi-agent systems(NMAS) with directed network topology and variable delay.A novel consensus protocol based on predictive control scheme is proposed to compensate the variable network delay *** conditions are given for NMASs with fixed topology and variable delay to achieve consensus under mild *** examples are supplied to illustrate the effectiveness of the theoretical results.

关键词： variable delay predictive networked multi-agent system

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Environment Simulation for the Development, Evaluation and Verification of Underlying Algorithms for Automated Driving

Environment Simulation for the Development, Evaluation and V...

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AmE 2016 - Automotive meets Electronics;7th GMM-Symposium

作者： Christian Wissing Till Nattermann Karl-Heinz Glander Alois Seewald Torsten Bertram TU Dortmund Institute of Control Theory and Systems Engineering ZF TRW Active & Passive Safety Technology

Algorithms for situation interpretation and prediction in traffic environments are essential in order to face automated driving challenges successfully. At the same time it is hardly possible to guarantee the functionality of such algorithms in every imaginable situation. In order to cope with such problems, the common approach in practice is to apply exhaustive and time consuming evaluation in real traffic situations. In this contribution a driving environment simulation is presented that is suited for the simulation of various highway scenarios and the generation of simulation data comparable to the output of a physical sensor data fusion architecture in real highway situations. The simulation models the dynamics of traffic flow augmented with a data based model to account for perception uncertainties. Finally a sample traffic scenario and the generated simulation output is presented.

关键词： ENVIRONMENT SIMULATION simulated data Traffic flow algorithms Verification Automobile driving traffic environment Traffic Automation Freeway

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A Real-Time Capable Model Predictive Approach to Lateral Vehicle Guidance

A Real-Time Capable Model Predictive Approach to Lateral Veh...

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IEEE International Conference on Intelligent Transportation Systems

作者： Christian Gotte Martin Keller Christoph Rosmann Till Nattermann Carsten Hass Karl-Heinz Glander Alois Seewald Torsten Bertram Institute of Control Theory and Systems Engineering TU Dortmund University Active & Passive Safety Technology ZF TRW

ISBN: (纸本)9781509018901

The paper at hand proposes a real-time capable approach to combined trajectory planning and control. One single prediction model is used to plan a feasible trajectory and to perform lateral guidance of the vehicle at the same time. Nonlinear model predictive control (NMPC) methods are applied to solve the optimal control problem, which incorporates environmental constraints leading to a model predictive planning and control approach (MPPC). Experiments are conducted utilizing a rapid prototyping system. The analysis shows the versatile application range of the developed algorithm, such as challenging emergency evasive maneuvers as well as automated steering as an approach to lateral guidance of the vehicle in general.

关键词： Vehicles Planning Trajectory Predictive models Vehicle dynamics Roads Collision avoidance

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Robust hover mode control of a tiltrotor using nonlinear control technique

Robust hover mode control of a tiltrotor using nonlinear con...

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AIAA Guidance, Navigation, and control Conference, 2016

作者： Alam, Mushfiqul Celikovsky, Sergej Walker, Daniel Department of Measurement Czech Technical University in Prague Czech Republic Department of Control Theory Institute of Information Theory and Automation Pod Vodarenskou Vezi 4 Praha 8CZ-182 08 Czech Republic School of Engineering Centre for Engineering Dynamics University of Liverpool The Quadrangle Brownlow HillL69 3GH United Kingdom

ISBN: (数字)9781624103896

ISBN: (纸本)9781624103896

Tiltrotor aircraft are complex, highly nonlinear systems which offers distinct operational advantages due to their unique Vertical Take-Off and Landing (VTOL) capabilities. Hovering a piloted tiltrotor in the helicopter flight condition is one of the most challenging tasks for pilots. Therefore, automatic control of the tiltrotor is always desired. Classical automatic linear control techniques fail to provide an adequate performance guarantee. In comparison, the application of nonlinear control techniques offers a potential alternative. Thus, in this paper modelling and hover control of a BELL XV-15 tiltrotor aircraft is presented. The MATLAB/Simulink based dynamic model of the BELL XV-15 tiltrotor aircraft is validated with respect to FLIGHTLAB model. In addition, a nonlinear hierarchical control strategy is adopted to provide automatic hover control of the tiltrotor aircraft. The results show a good hovering performance of the tiltrotor aircraft with small position tracking error. © 2016, American institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

关键词： Automation

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Stereoscopic Image Generation Based on Region-wise Rendering for 2D to 3D Conversion

Stereoscopic Image Generation Based on Region-wise Rendering...

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World Congress on Intelligent control and Automation

作者： Wei Liu Dehua Zhang Mingyue Cui Yu Zhang Institute of Automation Chinese Academy of Sciences Control Theory and Automation Engineering from Chonqging University Nanyang Normal University

ISBN: (纸本)9781467384155

Depth image-based rendering (DIBR), which is used to render virtual views with a color image and the corresponding depth map, is one of the key techniques in the 2D to 3D conversion process. One of the main problems in DIBR is how to reduce holes that occur on the generated virtual view images. In this paper, a region-wise rendering framework, which divides the original image regions into three special classes and renders each with optimal adaptive process respectively, is introduced. With the optimized region-wise processing, kinds of existing DIBR methods can be combined together to achieve better visual rendering results. Numerical experimental results demonstrate the good performance of the proposed method.

关键词： Rendering (computer graphics) Three-dimensional displays Two dimensional displays Visualization Smoothing methods Filtering algorithms Distortion

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