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Characteristics-based Simulink implementation of first-order quasilinear partial differential equations

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arXiv 2019年

作者： Ponomarev, Anton Hofmann, Julian Gröll, Lutz Saint Petersburg State University 7/9 Universitetskaya nab. St. Petersburg199034 Russia Karlsruhe Institute of Technology Institute for Automation and Applied Informatics Hermann-von-Helmholtz-Platz 1 Eggenstein-Leopoldshafen76344 Germany

The paper deals with computer simulation of first-order quasilinear partial differential equations in an online computer simulation environment, such as Simulink. The well-known and well-recommended method of characteristics is employed as it provides better numerical stability than the space discretization methods most commonly used in this context. The method of characteristics is realized as a Simulink subsystem which is available for download and can be used in a wide range of models. The implementation employs Simulink’s standard solver and its zero-crossing detection algorithm to perform simultaneous integration of a pool of characteristics as well as to create new characteristics dynamically and discard the old ones. The subsystem has been tested with several examples and produced better results than space discretization-based solutions. Copyright © 2019, The Authors. All rights reserved.

关键词： Partial differential equations

Influence of Time-Delay Mismatch for Robustness and Stability

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IFAC-PapersOnLine 2018年第14期51卷 248-253页

作者： Bányász, Cs. Keviczky, L. Bars, R. Institute of Computer Science and Control Hungarian Academy of Sciences H-1111 Budapest Kendeu 13-17 Hungary Department of Automation and Applied Informatics Budapest University of Technology and Economics H-1117 Budapest Magyar Tudósok krt 2 Q/B Hungary

In a practical control system the process always has a time delay. The uncertainty in the knowledge of the time delay i.e. the delay mismatch strongly influences the quality of the closed-loop control. It can cause unwanted instability and influences the robustness of the control. Stability region applicable for this uncertainty is investigated in this paper in connection with the required performance and robustness. © 2018

关键词： Delay control systems Convergence of numerical methods Quality control Robust control Robustness (control systems) Stability Time delay Timing circuits Closed loop control Delay mismatch performance Practical controls Stability regions Time delay uncertainties

Root Loci Analysis of a Simple Quasi-Polynomial and Its Use for Relay-Based Parameter Identification of a Delayed Infinite-Dimensional Heat-Exchanger Process

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Research Square

Research Square 2021年

作者： Pekař, Libor Song, Mengjie Padhee, Subhransu Dostálek, Petr Zezulka, František Department of Technical Studies College of Polytechnics Jihlava Tolstého 1556 Jihlava586 01 Czech Republic Department of Automation and Control Engineering Faculty of Applied Informatics Tomas Bata University in Zlín nám. T. G. Masaryka 5555 Zlín760 01 Czech Republic Department of Energy and Power Engineering School of Mechanical Engineering Beijing Institute of Technology Engine East Building 125 Beijing100081 China Department of Electrical and Electronics Engineering Institute of Information Technology Sambalpur University Burla Odisha 769018 India Department of Control and Instrumentation Faculty of Electrical Engineering and Communication Brno University of Technology Technická 3082/12 Královo Pole Brno616 00 Czech Republic

The focus of this contribution is twofold. The first part aims at the rigorous and complete analysis of pole loci of a simple delayed model, the characteristic function of which is represented by a quasi-polynomial with a non-delay and a delay parameter. The derived spectrum constitutes an infinite set, making it a suitable and simple-enough representative of even high-order process dynamics. The second part intends to apply the simple infinite-dimensional model for relay-based parameter identification of a more complex model of a heating-cooling process with heat exchangers. Processes of this type and construction are widely used in industry. The identification procedure has two substantial steps. The first one adopts the simple model with a low computational effort using the saturated relay that provides a more accurate estimation than the standard on/off test. Then, this result is transformed to the estimation of the initial characteristic equation parameters of the complex infinite-dimensional heat-exchanger model using the exact dominant-pole-loci assignment. The benefit of this technique is that multiple model parameters can be estimated under a single relay test. The second step attempts to estimate the remaining model parameters by various numerical optimization techniques and also to enhance all model parameters via the Autotune Variation Plus relay experiment for comparison. Although the obtained unordinary time and frequency domain responses may yield satisfactory results for control tasks, the identified model parameters may not reflect the actual values of process physical quantities. © 2021, CC BY.

关键词： Optimization

Reliable dispatch of renewable generation via charging of dynamic PEV populations

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arXiv 2018年

作者： Remo Appino, Riccardo Muñoz-Ortiz, Miguel Ordiano, Jorge Ángel González Mikut, Ralf Hagenmeyer, Veit Faulwasser, Timm Automation and Applied Informatics Karlsruhe Institute of Technology Eggenstein-Leopoldshafen76344 Germany

The inherent storage of plug-in electric vehicles is likely to foster the integration of intermittent generation from renewable energy sources into existing power systems. In the present paper, we propose a three-stage scheme to the end of achieving dispatchability of a system composed of plug-in electric vehicles and intermittent generation. The main difficulties in dispatching such a system are the uncertainties inherent to intermittent generation and the time-varying aggregation of vehicles. We propose to address the former by means of probabilistic forecasts and we approach the latter with separate stagespecific models. Specifically, we first compute a dispatch schedule, using probabilistic forecasts together with an aggregated dynamic model of the system. The power output of the single devices are set subsequently, using deterministic forecasts and device-specific models. We draw upon a simulation study based on real data of generation and vehicle traffic to validate our findings. Copyright © 2018, The Authors. All rights reserved.

关键词： Stochastic programming

Proposal of data acquisition method for industrial processes in automotive industry for data analysis according to Industry 4.0

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Proposal of data acquisition method for industrial processes...

IEEE International Conference on Intelligent Engineering Systems

作者： M. Nemeth A. Peterkova Faculty of Materials Science and Technology in Trnava Institute of Applied Informatics Automation and Mechatronics

This paper aims to the proposal of a method for acquiring data from industrial processes for further data mining analysis and for obtaining new knowledge from the process data. This paper covers initial stage of a project which is devoted to process data analysis for failure prediction and process optimization. This project will be in further stages evaluated in real automotive production company. In this paper we try to point out current state of data acquisition in automotive production companies and also the importance of collecting process data in order to meet Industry 4.0 requirements.

关键词： Production Servers Industries Databases Data acquisition Automotive engineering Companies

Uncertainty Quantification for Optimal Power Flow Problems

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PAMM 2019年第1期19卷

作者： Tillmann Mühlpfordt Veit Hagenmeyer Timm Faulwasser Institute for Automation and Applied Informatics Karlsruhe Institute of Technology Karlsruhe Germany

The need to de-carbonize the current energy infrastructure, and the increasing integration of renewables pose a number of difficult control and optimization problems. Among those, the optimal power flow (OPF) problem—i.e., the task to minimize power system operation costs while maintaining technical and network limitations—is key for operational planning of power systems. The influx of inherently volatile renewable energy sources calls for methods that allow to consider stochasticity directly in the OPF problem. Here, we present recent results on uncertainty quantification for OPF problems. Modeling uncertainties as second-order continuous random variables, we will show that the OPF problem subject to stochastic uncertainties can be posed as an infinite-dimensional L 2 -problem. A tractable reformulation thereof can be obtained using polynomial chaos expansion (PCE), under mild assumptions. We will show advantageous features of PCE for OPF subject to stochastic uncertainties. For example, multivariate non-Gaussian uncertainties can be considered easily. Finally, we comment on recent progress on a Julia package for PCE.

关键词：

Transfer learning versus multi-agent learning regarding distributed decision-making in highway traffic 10

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Transfer learning versus multi-agent learning regarding dist...

10th International Workshop on Agents in Traffic and Transportation, ATT 2018

作者： Schutera, Mark Goby, Niklas Neumann, Dirk Reischl, Markus Institute for Automation and Applied Informatics Karlsruhe Institute of Technology Germany Chair for Information Systems Research University of Freiburg Germany IT Innovation Chapter Data Science ZF Friedrichshafen AG Germany Research and Development ZF Friedrichshafen AG Germany

Transportation and traffic are currently undergoing a rapid increase in terms of both scale and complexity. At the same time, an increasing share of traffic participants are being transformed into agents driven or supported by artificial intelligence resulting in mixed-intelligence traffic. This work explores the implications of distributed decision-making in mixed-intelligence traffic. The investigations are carried out on the basis of an online-simulated highway scenario, namely the MIT DeepTraffic simulation. In the first step traffic agents are trained by means of a deep reinforcement learning approach, being deployed inside an elitist evolutionary algorithm for hyperparameter search. The resulting architectures and training parameters are then utilized in order to either train a single autonomous traffic agent and transfer the learned weights onto a multi-agent scenario or else to conduct multi-agent learning directly. Both learning strategies are evaluated on different ratios of mixed-intelligence traffic. The strategies are assessed according to the average speed of all agents driven by artificial intelligence. Traffic patterns that provoke a reduction in traffic flow are analyzed with respect to the different strategies. © 2018 CEUR-WS. All rights reserved.

关键词： Reinforcement learning

Stability analysis for parameterized variational systems with implicit constraints

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arXiv 2019年

作者： Benko, Matus Gfrerer, Helmut Outrata, Jirí V. Institute of Computational Mathematics Johannes Kepler University Linz LinzA-4040 Austria Institute of Information Theory and Automation Academy of Sciences of the Czech Republic Prague18208 Czech Republic Centre for Informatics and Applied Optimization Federation University of Australia POB 663 BallaratVIC3350 Australia

In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems include, e.g., quasi-variational inequalities and implicit complementarity problems. Concerning the Aubin property, possible restrictions imposed on the parameter are also admitted. Throughout the paper, tools from the directional limiting generalized differential calculus are employed enabling us to impose only rather weak (non- restrictive) qualification conditions. Despite the very general problem setting, the resulting conditions are workable as documented by some academic examples.49J53, 90C31, 90C46 Copyright © 2019, The Authors. All rights reserved.

关键词： Parameterization

On a semismooth* Newton method for solving generalized equations

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arXiv 2019年

作者： Gfrerer, Helmut Outrata, Jiří V. Institute of Computational Mathematics Johannes Kepler University Linz LinzA-4040 Austria Institute of Information Theory and Automation Academy of Sciences of the Czech Republic Prague18208 Czech Republic Centre for Informatics and Applied Optimization Federation University of Australia Vic 3350 BallaratPOB 663 Australia

In the paper, a Newton-type method for the solution of generalized equations (GEs) is derived, where the linearization concerns both the single-valued and the multi-valued part of the considered GE. The method is based on the new notion of semismoothness∗ which, together with a suitable regularity condition, ensure the local superlinear convergence. An implementable version of the new method is derived for a class of GEs, frequently arising in optimization and equilibrium models.65K10, 65K15, 90C33 Copyright © 2019, The Authors. All rights reserved.

关键词： Newton-Raphson method