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arXiv 2017年

作者： Sawerwain, Marek Wiśniewska, Joanna Institute of Control and Computation Engineering University of Zielona Góra Licealna 9 Zielona Góra65-417 Poland Institute of Information Systems Faculty of Cybernetics Military University of Technology Kaliskiego 2 Warsaw00-908 Poland

The quantum entanglement is considered as one of the most important notions of quantum computing. The entanglement is a feature of quantum systems and it is used as a basis for many quantum algorithms and protocols. In this paper we analyze the level of entanglement for the quantum switch, during its work. The level of entanglement during the correct operating may be compared with the situation when a noise is present in the analyzed system. The noise changes the level of quantum entanglement and we utilize this observation to evaluate if the switch works properly. We present the formulae describing the value of entanglement with use of the Concurrence measure and also the value of entropy. Both mentioned values may be utilized to detect the noise during the operating of quantum switch. Copyright © 2017, The Authors. All rights reserved.

关键词： Quantum entanglement

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Modeling and Iterative Learning control of a Circular Deformable Mirror

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IFAC-PapersOnLine 2017年第1期50卷 3117-3122页

作者： Cichy B. Augusta P. Gałkowski K. Rauh A. Aschemann H. Rogers E. Rehák B. Institute of Control and Computation Engineering University of Zielona Góra ul. Szafrana 2 Zielona Góra 65-516 Poland Institute of Information Theory and Automation The Czech Academy of Sciences Pod Vod´arenskou věží 4 Prague CZ-182 08 Czech Republic Chair of Mechatronics University of Rostock Justus-von-Liebig-Weg 6 Rostock D-18059 Germany Department of Electronics and Computer Science University of Southampton Southampton SO17 1BJ United Kingdom

An unconditionally stable finite difference scheme for systems whose dynamics are described by a fourth-order partial differential equation is developed using a regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization that was originally developed for second-order systems and it is used in this paper to develop a discrete in time and space model of a deformable mirror as a basis for control law design. As one example, the resulting model is used for iterative learning control law design and supporting numerical simulations are given. © 2017

关键词： control of partial differential equations Iterative learning control Linear systems N-dimensional systems Stability of distributed parameter systems

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

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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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Robust finite frequency design of iterative learning control schemes

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IFAC-PapersOnLine 2016年第13期49卷 169-174页

作者： Paszke, Wojciech Rogers, Eric Galkowski, Krzysztof Institute of Control and Computation Engineering University of Zielona Góra ul. Szafrana 2 Zielona Góra65-516 Poland Electronics and Computer Science University of Southampton SouthamptonSO17 1B J United Kingdom

This paper considers the problem of designing an iterative learning control law for discrete linear systems using repetitive process stability theory The resulting design produces a stabilizing output feedback controller in the time domain and a feedforward controller that guarantees monotonic convergence in the trial-to-trial domain. An extension to design with limited frequency range specifications for uncertain plants is developed. All design computations required for the new results in this paper can be computed using linear matrix inequalities (LMIs). A simulation example is given to illustrate the theoretical developments. © 2016

关键词： Discrete time control systems

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Pass profile exponential and asymptotic stability of nonlinear repetitive processes

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IFAC-PapersOnLine 2017年第1期50卷 4138-4143页

作者： Pakshin P. Emelianova J. Emelianov M. Galkowski K. Rogers E. Arzamas Polytechnic Institute of R.E. Alekseev Nizhny Novgorod State Technical University Lobachevsky State University of Nizhny Novgorod 19 Kalinina Street Prospekt Gagarina 23 Arzamas Nizhny Novgorod 607227 603950 Russian Federation Arzamas Polytechnic Institute of R.E. Alekseev Nizhny Novgorod State Technical University 19 Kalinina Street Arzamas 607227 Russian Federation Institute of Control and Computation Engineering University of Zielona Góra ul. Szafrana 2 Zielona Góra 65-516 Poland Department of Electronics and Computer Science University of Southampton Southampton SO17 1BJ United Kingdom

This paper considers discrete and differential nonlinear repetitive processes using the state-space model setting. These processes are a particular class of 2D systems that have their origins in the modeling of physical processes. Their distinguishing characteristic is that one of the two independent variables needed to describe the dynamics evolves over a finite interval and therefore they are defined over a subset of the upper-right quadrant of the 2D plane. The current stability theory for nonlinear dynamics assumes that they operate over the complete upper-right quadrant and this property may be too strong for physical applications, particulary in terms of control law design. With applications in mind, the contribution of this paper is the use of vector Lyapunov functions to characterize a new properties termed pass profile exponential stability and pass profile asymptotic stability. © 2017

关键词： Nonlinear repetitive processes pass profile asymptotic stability pass profile exponential stability vector Lyapunov functions

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Persistence border collisions in a vibrating system excited by an unbalanced motor with a relay control

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AIP Conference Proceedings 2018年第1期1959卷

作者： Zhanybai T. Zhusubaliyev Viktor Avrutin Vasily G. Rubanov Dmitry A. Bushuev Dmitry V. Titov Olga O. Yanochkina 1Department of Computer Science Southwest State University 50 Years of October Str. 94 305040 Kursk Russia 2Institute for Systems Theory and Automatic Control University of Stuttgart Pfaffenwaldring 9 70550 Stuttgart Germany 3Department of Engineering Cybernetics Belgorod State Technological University Kostyukov Str. 46 308012 Belgorod Russia

The paper describes a new scenario for the transition to complex dynamics in a vibrating system with an unbalanced rotor and a relay feedback control. We show that the transition from a regular dynamics without switching events in the relay element to an irregular dynamics which takes place completely in the hysteresis region occurs via a cascade of persistence border collisions.

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Cost-constrained D-optimum node activation for large-scale monitoring networks

Cost-constrained D-optimum node activation for large-scale m...

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American control Conference

作者： Maciej Patan Dariusz Ucinski Institute of Control and Computation Engineering University of Zielona Gora ul. Szafrana 2 65-516 Poland

ISBN: (纸本)9781467386838

The aim of this contribution is to develop a simple and fast procedure to determine an optimal node activation policy in large-scale sensor networks whose measurements are supposed to be used to estimate unknown parameters of the underlying spatiotemporal process model described by a partial differental equation. The problem consists in selecting gaged sites from among all available sites so that the determinant of the Fisher information matrix associated with the estimated parameters be maximal. In addition to that, given a spatially-varying cost of taking measurements, the resulting total cost of the experiment must not exceed a fixed budget. The technique adopted here to circumvent the inherent combinatorial nature of the sensor selection problem amounts to operating on the spatial density of sensors, rather than on the specific sensor locations. A linear separability characterization of optimal solutions is derived and then simplicial decomposition is applied to obtain numerical solutions resulting in a simple computational scheme.

关键词： Robot sensing systems Symmetric matrices Optimization Linear matrix inequalities Context Search problems Noise measurement Manipulator sensing systems tabu search Symmetric matrix Noise measurement linear matrix inequalities Sensors

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Full waveform inversion for ultrasonic flaw identification

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AIP Conference Proceedings 2017年第1期1806卷

作者： Robert Seidl Ernst Rank 1Chair for Computation in Engineering Faculty of Civil Geo and Environmental Engineering Technical University of Munich Arcisstrasse 21 80333 Munich Germany 2Institute for Advanced Study Technical University of Munich Germany

Ultrasonic Nondestructive Testing is concerned with detecting flaws inside components without causing physical damage. It is possible to detect flaws using ultrasound measurements but usually no additional details about the flaw like position, dimension or orientation are available. The information about these details is hidden in the recorded experimental signals. The idea of full waveform inversion is to adapt the parameters of an initial simulation model of the undamaged specimen by minimizing the discrepancy between these simulated signals and experimentally measured signals of the flawed specimen. Flaws in the structure are characterized by a change or deterioration in the material properties. Commonly, full waveform inversion is mostly applied in seismology on a larger scale to infer mechanical properties of the earth. We propose to use acoustic full waveform inversion for structural parameters to visualize the interior of the component. The method is adapted to US NDT by combining multiple similar experiments on the test component as the typical small amount of sensors is not sufficient for a successful imaging. It is shown that the combination of simulations and multiple experiments can be used to detect flaws and their position, dimension and orientation in emulated simulation cases.

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Design of robust iterative learning control schemes for systems with polytopic uncertainties and sector-bounded nonlinearities

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Journal of Physics: Conference Series 2017年第1期783卷

作者： Marcin Boski Wojciech Paszke Institute of Control and Computation Engineering University of Zielona Góra ul. Szafrana 2 65-516 Zielona Góra Poland.

This paper deals with designing of iterative learning control schemes for uncertain systems with static nonlinearities. More specifically, the nonlinear part is supposed to be sector bounded and system matrices are assumed to range in the polytope of matrices. For systems with such nonlinearities and uncertainties the repetitive process setting is exploited to develop a linear matrix inequality based conditions for computing the feedback and feedforward (learning) controllers. These controllers guarantee acceptable dynamics along the trials and ensure convergence of the trial-to-trial error dynamics, respectively. Numerical examples illustrate the theoretical results and confirm effectiveness of the designed control scheme.

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Robustness of uncertain discrete linear repetitive processes with disturbance attenuation

Robustness of uncertain discrete linear repetitive processes...

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2016 European control Conference, ECC 2016

作者： Dabkowski, Pawel Galkowski, Krzysztof Rogers, Eric Sebek, Michael Institute of Physiscs Faculty of Physics Astronomy and Informatics Nicolaus Copernicus University ul. Grudziadzka 5 Torun87-100 Poland Institute of Control and Computation Engineering University of Zielona Gora Podgorna 50 Zielona Gora65-246 Poland Electronics and Computer Science University of Southampton SouthamptonSO17 1BJ United Kingdom Department of Control Engineering Faculty of Electrical Engineering Czech Technical University in Prague Technicka 2 Praha 616627 Czech Republic

ISBN: (纸本)9781509025916

Repetitive processes are a class of 2D systems that can be used to model physical systems and also there are applications, such as iterative learning control, where using a repetitive processes setting for design has advantages over alternatives. In most cases, it is discrete dynamics that are basis for design and often there will be a need to deal with uncertainty in the process model and the effects of disturbances. This paper develops new algorithms for these tasks that are computed using linear matrix inequalities when the uncertainty is modeled using two standard representations and disturbance attenuation is measured by an norm. The extension of these algorithms to control law design is also developed. © 2016 EUCA.

关键词： Linear matrix inequalities

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