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arXiv 2018年

作者： Benner, Peter Bujanović, Zvonimir Kürschner, Patrick Saak, Jens Max Planck Institute for Dynamics of Complex Technical Systems Computational Methods in Systems and Control Theory Magdeburg Germany University of Zagreb Department of Mathematics Zagreb Croatia

In this paper, we discuss numerical methods for solving large-scale continuous-time algebraic Riccati equations. These methods have been the focus of intensive research in recent years, and significant progress has been made in both the theoretical understanding and efficient implementation of various competing algorithms. There are several goals of this manuscript: first, to gather in one place an overview of different approaches for solving large-scale Riccati equations, and to point to the recent advances in each of them. Second, to analyze and compare the main computational ingredients of these algorithms, to detect their strong points and their potential bottlenecks. And finally, to compare the effective implementations of all methods on a set of relevant benchmark examples, giving an indication of their relative performance. Copyright © 2018, The Authors. All rights reserved.

关键词： Riccati equations

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Object Identification on Raster Images by User Query

Object Identification on Raster Images by User Query

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Russia and Pacific Conference on Computer Technology and Applications (RPC)

作者： I.V. Bychkov G.M. Rugnikov R.K. Fedorov Y.V. Avramenko Information Technology and Systems Dept Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences Irkutsk Russia

ISBN: (纸本)9781538675328

Currently, most software systems designed to identify objects on raster images are focused on identifying a rigid class of objects. Often for real-world tasks, the capabilities of software systems are not enough. One of the ways to solve the problem is to perform identification in accordance with the user query. The development and implementation of the method for identifying objects on raster images based on the user's knowledge is proposed.

关键词： Object recognition Feature extraction Deformable models Shape Buildings Complexity theory Inference algorithms

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Methods and Tools for Automation of Development of Information systems Using Specifications of Database Applications

Methods and Tools for Automation of Development of Informati...

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Russia and Pacific Conference on Computer Technology and Applications (RPC)

作者： I.V. Bychkov A.E. Hmelnov E.S. Fereferov G.M. Rugnikov A.S. Gachenko Information Technology and Systems Dept. Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences Irkutsk Russia

ISBN: (纸本)9781538675328

The approach is based upon declarative specifications of database applications (SDA). The specifications of database applications contain all the information about database structure, which is required to build a typical AIS (automated information system). The information is represented in its pure form, so the specifications are rather concise. The AIS'es are implemented using general algorithms, which are directed by the specifications. We have developed algorithms for such tasks as: user interface generation, query building, report generation, GIS interaction. Using the specifications of database applications and the algorithms the software system GeoARM was implemented. The technology considered was well-tried by use of the system GeoARM for development of several dozens of true-life AIS for different purposes.

关键词： Databases Artificial intelligence Software User interfaces Software algorithms Task analysis Information systems

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Services and Cloud Infrastructure to Support Interdisciplinary Scientific Research

Services and Cloud Infrastructure to Support Interdisciplina...

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Russia and Pacific Conference on Computer Technology and Applications (RPC)

作者： I.V. Bychkov G.M. Rugnikov R.K. Fedorov A.S. Shumilov Information Technology and Systems Dept. Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences Irkutsk Russia

ISBN: (纸本)9781538675328

The problem of open information exchange substantiates the perspective of SOA paradigm for the creation of infrastructure that supports interdisciplinary research. The infrastructure solves problems of service and data cataloging, publication and multiuser editing of data, deployment and execution of services and theirs compositions. The developed infrastructure effectively utilizes resources, adapts to environment changes and solves problems in biology, geography and ecology sciences.

关键词： Task analysis Standards Planning Computer languages Software systems Servers

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Cross-gramian-based dominant subspaces

arXiv

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arXiv 2018年

作者： Benner, Peter Himpe, Christian Computational Methods in Systems and Control Theory Max Planck Institute for Dynamics of Complex Technical Systems Sandtorstr. 1 Magdeburg39106 Germany Faculty of Mathematics Otto von Guericke University Magdeburg Universitätsplatz 2 Magdeburg39106 Germany Computational Methods in Systems and Control Theory Max Planck Institute for Dynamics of Complex Technical Systems Sandtorstr. 1 Magdeburg39106 Germany

A standard approach for model reduction of linear input-output systems is balanced truncation, which is based on the controllability and observability properties of the underlying system. The related dominant subspaces projection model reduction method similarly utilizes these system properties, yet instead of balancing, the associated subspaces are directly conjoined. In this work we extend the dominant subspace approach by computation via the cross Gramian for linear systems, and describe an a-priori error indicator for this method. Furthermore, efficient computation is discussed alongside numerical examples illustrating these findings. in93A15, 93B11, 93B20 Copyright © 2018, The Authors. All rights reserved.

关键词： Observability

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An Improved Output Feedback MPC scheme for Constrained Linear systems

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IFAC-PapersOnLine 2017年第1期50卷 15506-15511页

作者： Subramanian, Sankaranarayanan Lucia, Sergio Engell, Sebastian Process Dynamics and Operations Group DortmundTU United States Otto-von-Guericke-University Magdeburg Laboratory for Systems Theory and Automatic Control Institute of Automation Engineering Germany

We propose an output feedback model predictive control (MPC) scheme that is independent of the estimation method employed. The proposed approach is non-conservative by design as the feedback information subject to estimation errors is explicitly considered in the predictions. The proposed scheme is robust to both the plant-model mismatch and the estimation error and avoids the unnecessary conservatism introduced by other existing output feedback MPC approaches in the literature. We achieve this by making use of all the available information at every time-step and formulate a control policy with the assumption that bounds for the estimation error are available at all times. We show that the proposed scheme is recursively feasible and demonstrate its advantages using a double-integrator example. © 2017

关键词： Feedback Errors Estimation Linear systems Model predictive control Predictive control systems Robust control Constrained linear systems Constrained systems Estimation methods Feed back information Multi stage Output feedback Plant model mismatches Robust model predictive control

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Consensus analysis of systems with time-varying interactions : An event-triggered approach

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IFAC-PapersOnLine 2017年第1期50卷 9349-9354页

作者： Arun Kumar S. Chowdhury N.R. Srikant S. Raisch J. Department of Systems and Control Engineering Indian Institute of Technology Bombay Mumbai 400076 India Fachgebiet Regelungssysteme Technische Universität Berlin Berlin 10587 Germany Systems and Control Theory Group Max Planck Institute for Dynamics of Complex Technical Systems Germany

We present consensus analysis of systems with single integrator dynamics interacting via time-varying graphs under the event-triggered control paradigm. Event-triggered control sparsifies the control applied, thus reducing the control effort expended. Initially, we consider a multi-agent system with persistently exciting interactions and study the behaviour under the application of event-triggered control with two types of trigger functions- static and dynamic trigger. We show that while in the case of static trigger, the edge-states converge to a ball around the origin, the dynamic trigger function forces the states to reach consensus exponentially. Finally, we extend these results to a more general setting where we consider switching topologies. We show that similar results can be obtained for agents interacting via switching topologies and validate our results by means of simulations. © 2017

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A family of extremum seeking laws for a unicycle model with a moving target: Theoretical and experimental studies

arXiv

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arXiv 2018年

作者： Grushkovskaya, Victoria Michalowsky, Simon Zuyev, Alexander May, Max Ebenbauer, Christian Institute for Systems Theory and Automatic Control University of Stuttgart Stuttgart70569 Germany Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg39106 Germany Institute of Applied Mathematics and Mechanics National Academy of Sciences of Ukraine Sloviansk84100 Ukraine

In this paper, we propose and practically evaluate a class of gradient-free control functions ensuring the motion of a unicycle-type system towards the extremum point of a timevarying cost function. We prove that the unicycle is able to track the extremum point, and illustrate our results by numerical simulations and experiments that show that the proposed control functions exhibit an improved tracking performance in comparison to standard extremum seeking laws based on Lie bracket approximations. Copyright © 2018, The Authors. All rights reserved.

关键词： Cost functions

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Peer methods for the solution of large-scale differential matrix equations

arXiv

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arXiv 2018年

作者： Benner, Peter Lang, Norman Max Planck Institute for Dynamics of Complex Technical Systems Computational Methods in Systems and Control Theory MagdeburgD-39106 Germany Technische Universitat Chemnitz Faculty of Mathematics Mathematics in Industry and Technology ChemnitzD-09126 Germany

We consider the application of implicit and linearly implicit (Rosenbrock-type) peer methods to matrix-valued ordinary differential equations. In particular the differential Riccati equation (DRE) is investigated. For the Rosenbrock-type schemes, a reformulation capable of avoiding a number of Jacobian applications is developed that, in the autonomous case, reduces the computational complexity of the algorithms. Dealing with large-scale problems, an efficient implementation based on low-rank symmetric indefinite factorizations is presented. The perfor- mance of both peer approaches up to order 4 is compared to existing implicit time integration schemes for matrix-valued differential *** Codes 15A23, 34A09, 65L99, 93A15 Copyright © 2018, The Authors. All rights reserved.

关键词： Ordinary differential equations

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Towards riccati-feedback control of complex flows with moving interfaces

Towards riccati-feedback control of complex flows with movin...

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88th Annual Meeting on the International Association of Applied Mathematics and Mechanics, GAMM 2017

作者： Baran, Björn Benner, Peter Heiland, Jan Saak, Jens Computational Methods in Systems and Control Theory Max Planck Institute for Dynamics of Complex Technical Systems Sandtorstr. 1 Magdeburg39106 Germany

Problems featuring moving interfaces appear in many applications. They can model solidification and melting of pure materials, crystal growth and other multi-phase problems. The control of the moving interface enables to, for example, influence production processes and, thus, the product material quality. We consider the two-phase Stefan problem that models a solid and a liquid phase separated by the moving interface. In the liquid phase, the heat distribution is characterized by a convection-diffusion equation. The fluid flow in the liquid phase is described by the Navier–Stokes equations which introduces a differential algebraic structure to the system. The interface movement is coupled with the temperature through the Stefan condition, which adds additional algebraic constraints. Our formulation uses a sharp interface representation and we define a quadratic tracking-type cost functional as a target of a control input. We compute an open loop optimal control for the Stefan problem using an adjoint system. For a feedback representation, we linearize the system about the trajectory defined by the open loop control. This results in a linear-quadratic regulator problem, for which we formulate the differential Riccati equation with time varying coefficients. This Riccati equation defines the corresponding feedback gain. Further, we present the feedback formulation that takes into account the structure and the differential algebraic components of the problem. Also, we discuss how the complexities that come, for example, with mesh movements, can be handled in a feedback setting. © 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.

关键词： Feedback

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