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89th Annual Meeting on the International Association of Applied Mathematics and Mechanics, GAMM 2018

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

In this paper, we consider the problem of extremum seeking in the presence of obstacles. The analytical expression of the cost function as well as locations and shapes of the obstacles are assumed to be partially or completely unknown. We describe a broad family of control algorithms for a unicycle type system, which provides a solution of the above problem based on Lie bracket approximation ideas. The obtained controllers generalize some known results and allow to construct new control strategies. Furthermore, it is shown that gradient-free control algorithms can be used for excluding the attraction of trajectories to undesirable equilibriuma in obstacle avoidance problems. © 2018 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.

关键词： controllers

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Volterra Series Models for Nonlinear Automatic control systems

Volterra Series Models for Nonlinear Automatic Control Syste...

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2024 International Russian Automation Conference, RusAutoCon 2024

作者： Solodusha, Svetlana Markova, Evgeniia Kokonova, Yuliya Melentiev Energy Systems Institute Sb Ras Irkutsk Russia Matrosov Institute for System Dynamics and Control Theory Sb Ras Irkutsk Russia Irkutsk National Research Technical University Irkutsk Russia

The paper presents algorithms for constructing nonlinear integral models based on the Volterra series tool. Modeling of dynamic processes means assessing the response to possible external changes in real time. The vector of input signals may include measured influences and control actions to be identified based on an analysis of the current state. We use identification algorithms based on the theory of Volterra polynomial equations of the first kind. An approach to the approximate solution to selected types of nonlinear systems of Volterra integral equations using the Newton-Kantorovich method is presented. We use the numerical solution to the corresponding linear system of equations as a trial solution. Calculation schemes obtained with help the standard quadrature methods are given. © 2024 IEEE.

关键词： Integral equations

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Extremum Seeking for Time-Varying Functions using Lie Bracket Approximations

Extremum Seeking for Time-Varying Functions using Lie Bracke...

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作者： Grushkovskaya, Victoria Dürr, Hans-Bernd Ebenbauer, Christian Zuyev, Alexander 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

The paper presents a control algorithm that steers a system to an extremum point of a time-varying function. The proposed extremum seeking law depends on values of the cost function only and can be implemented without knowing analytical expression of this function. By extending the Lie brackets approximation method, we prove the local and semi-global practical uniform asymptotic stability for time-varying extremum seeking problems. For this purpose, we consider an auxiliary non-autonomous system of differential equations and propose asymptotic stability conditions for a family of invariant sets. The obtained control algorithm ensures the motion of a system in a neighborhood of the curve where the cost function takes its minimal values. The dependence of the radius of this neighborhood on the bounds of the derivative of a time-varying function is shown. © 2017

关键词： control theory

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Soft sensor for monitoring dynamic changes in cell composition 9

Soft sensor for monitoring dynamic changes in cell compositi...

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9th IFAC Conference on Foundations of systems Biology in Engineering, FOSBE 2022

作者： Espinel-Ríos, Sebastián Morabito, Bruno Bettenbrock, Katja Klamt, Steffen Findeisen, Rolf Laboratory for System Theory and Automatic Control Otto von Guericke University Magdeburg Germany Analysis and Redesign of Biological Networks Max Planck Institute for Dynamics of Complex Technical Systems Germany Control and Cyber-Physical Systems Laboratory TU Darmstadt Germany

ISBN: (纸本)9781713867890

Precise and accurate online monitoring methods are needed to enable smart biomanufacturing and automation. Most of the sensors available focus on process parameters such as metabolite and dissolved gas concentrations, cell density or viability, among other variables like pH, temperature, etc. In this work, we develop a soft sensor algorithm to estimate the cell composition online, a very important aspect often overlooked in the bioprocess monitoring literature. Our strategy is based on full information estimation, an optimization-based estimator that takes into account the dynamics of the cell metabolism and considers all the available measurements from the beginning of the process, thus it has a memory effect. Being able to track dynamic changes in cell composition can open the door to promising applications, e.g., predictive control and automation of biosystems. As a case study, we consider the Escherichia coli's metabolism growing on glycerol under different levels of oxygen supply. We compare the performance of our soft sensor method against resource balance analysis, a previously proposed estimator based on steady-state assumptions. Overall, the presented full information estimator was able to track the dynamic changes in cell composition significantly more accurately. We also discuss how our estimation strategy can be transformed into a moving horizon estimation, where only the available measurements in a fixed and moving window are considered, thereby reducing possible computational burdens. Copyright © 2022 The Authors.

关键词： Metabolism

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The experiences of application of second-order methods for solving optimal control problems

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IFAC Proceedings Volumes 2004年第17期37卷 18-21页

作者： V.A. Baturin D.E. Ourbanovich Institute of Systems Dynamics and Control Theory Siberian Branch Russian Academy of Sciences Irkutsk Russia

This paper deals with second-order improving methods for optimal control problems based on extension principle. Results of computation experiments is presented.

关键词： optimal control problem improving methods state constraints

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Stabilization of Multi-AUV formation with digital control

Stabilization of Multi-AUV formation with digital control

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International Convention on Information and Communication Technology, Electronics and Microelectronics

作者： S. A. Ul'yanov N. N. Maximkin Institute for System Dynamics and Control Theory / Department of Information Control Systems Irkutsk Russia

ISBN: (纸本)9781509025435

Formation stability problem for a team of autonomous underwater vehicles (AUV) with digital control is investigated. A leader-follower formation control algorithm for multi-AUV system is proposed. Feedback control signal for the follower, which is piecewise constant, is computed on the basis of discrete measurements of the distance and the bearing angle to the leader. A discrete observer for estimation of the derivatives of the distance and the bearing angle are used to improve the control performance. The parameters of the controller and observer are synthesized using a digital control system design method based on the vector Lyapunov functions that allows one to take into account the uncertainties of the plant, measurement errors, and control constraints. Numerical simulations are carried out to demonstrate the effectiveness of the proposed control scheme.

关键词： Observers Digital control Vehicle dynamics Stability analysis Feedback control Lyapunov methods

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Modeling and control for (max, +)-linear systems with set-based constraints 11

Modeling and control for (max, +)-linear systems with set-ba...

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11th IEEE International Conference on Automation Science and Engineering, CASE 2015

作者： David-Henriet, Xavier Raisch, Jörg Hardouin, Laurent Cottenceau, Bertrand Control Systems Group Technische Universität Berlin Germany Laboratoire Angevin de Recherche en Ingénierie des Systèmes Université d'Angers France Systems and Control Theory Group Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg Germany

ISBN: (纸本)9781467381833

We consider (max, +)-linear systems (i.e., discrete event systems ruled by conditions of the form: 'for all k ≥l, occurrence k of event β2 is at least τ units of time after occurrence k-l of event e1' with τ, l N0) with the additional restriction that certain events can only occur at time instants in predefined ultimately periodic sets of integers. Such phenomena frequently occur in transportation networks (e.g., a vehicle passes a traffic light only when it is green). In this paper, we extend transfer function matrix models and model reference control developed for (max, +)-linear systems to the above class of systems, which is more general than (max, +)-linear systems. To illustrate these results, we consider a road traffic example with traffic lights. © 2015 IEEE.

关键词： Linear systems

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Subject-oriented computing environment for solving large-scale problems of energy security research 5

Subject-oriented computing environment for solving large-sca...

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5th International Conference on Information Technology and Nanotechnology, ITNT 2019

作者： Bychkov, I.V. Oparin, G.A. Feoktistov, A.G. Sidorov, I.A. Gorsky, S.A. Kostromin, R.O. Edelev, A.V. Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov Street 134 Irkutsk664033 Russia Melentiev Energy Systems Institute SB RA Lermontov Street 130 Irkutsk664033 Russia

We represent a new approach to the development and use of a subject-oriented heterogeneous distributed computing environment for solving large-scale problems of energy security research. Both the development of scalable applications (distributed applied software packages) and the computing resources integration are conducted using the Orlando Tools framework. It supports the collaborative application development based on the continuous integration of their software. Computation management tools in Orlando Tools are integrated with a multi-agent system. We propose special multi-agent tools for the heterogeneous resource allocation in the environment. These tools apply knowledge about the subject domain specifics of solved-problems and computing environment characteristics. The effectiveness of such management is highlighted by the results of solving practical problems of energy security research. © 2019 IOP Publishing Ltd. All rights reserved.

关键词： Energy security

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Machine learning in a multi-agent system for distributed computing management 4

Machine learning in a multi-agent system for distributed com...

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4th International Conference on Information Technology and Nanotechnology - Session: Data Science, DS-ITNT 2018

作者： Bychkov, I.V. Feoktistov, A.G. Sidorov, I.A. Edelev, A.V. Gorsky, S.A. Kostromin, R.O. Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov St. 134 Irkutsk664033 Russia Melentiev Energy Systems Institute Lermontov St. 130 Irkutsk664033 Russia

We address the relevant problem of machine learning in a multi-agent system for distributed computing management. We propose a new approach to the agent learning in the system for managing job flows of scalable applications in a heterogeneous distributed computing environment, which includes high-performance computing clusters, as its main components. We manage parameter sweep applications that execute their jobs in a virtual machine environment. We use the specialized tools to implement such environment. In contrast to the known approaches, our approach is based on the integrated applying of methods for job classification and parameter adjustment of algorithms for functioning agents. Simulation modeling the environment allows eliciting the necessary knowledge for parameter adjustment. During the learning of agents, we use the expert knowledge of environment node administrators. An example of solving the complex practical problem that relates to studying energy development directions of Russia demonstrates advantages of the proposed approach. © 2018 CEUR-WS. All rights reserved.

关键词： Multi agent systems

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Large-scale analysis of energy system vulnerability using in-memory data grid 2

Large-scale analysis of energy system vulnerability using in...

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2nd International Workshop on Information, Computation, and control systems for Distributed Environments, ICCS-DE 2020

作者： Edelev, A.V. Sidorov, I.A. Gorsky, S.A. Feoktistov, A.G. Melentiev Energy Systems Institute Lermontov St. 130 Irkutsk664033 Russia Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov St. 134 Irkutsk664033 Russia

Nowadays, determining critical components of energy systems is a relevant problem. The complexity of its solving increases significantly when it is necessary to take into account the simultaneous failures of such components. Usually, in problem-solving, processing a large number of failure variants and their consequences is required. Processing such data using traditional relational database management systems does not allow us to quickly identify the most critical components. In the paper, our successful practical experience in applying an in-memory data grid within large-scale analyzing of the energy system vulnerability is provided. The experimental analysis showed the good scalability of distributed computing and significant reduction in data processing time compared to using an open-source SQL relational database management system. In developing and applying the distributed applied software package for solving the aforementioned problem we have used the Orlando Tools framework. Within its applying, we have implemented continuous integration of the package software taking into account the preparing and processing of subject-oriented data through the in-memory data grid. Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Information management

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