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8th International Workshop on Multidimensional Systems, nDS 2013

作者： Rogers, Eric Galkowski, Krzysztof Paszke, Wojciech Owens, David H. Electronics and Computer Science University of Southampton SouthamptonSO17 1BJ United Kingdom Institute of Control and Computation Engineering University of Zielona Gora ul. Licealna 9 Zielona Gora65-417 Poland Department of Automatic Control and Systems Engineering University of Sheffield SheffieldS1 3JD United Kingdom

ISBN: (纸本)9783800735433

Repetitive processes make a series of sweeps, or passes, through a set of dynamics defined over the finite pass length. Once a pass is complete the process resets to the starting location ready for the start of the next one. On any pass, the output, or pass profile, generated on the previous one acts as a forcing function on, and therefore contributes to, the dynamics of the new pass profile. These processes are a class of 2D systems where the novel control problem is that the sequence of pass profiles generated can contain oscillations that increase in amplitude from pass-to-pass. These oscillations cannot be removed by standard control action and therefore a 2D systems control theory for them has been under development over the pass two decades. This paper demonstrates that, unlike much of the control theory for other 2D systems, repetitive processes have applications that have led to experimental verification of control laws. © VDE VERLAG GMBH 2013.

关键词： control theory

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Two decades of research on linear repetitive processes part i: Theory 8

Two decades of research on linear repetitive processes part ...

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8th International Workshop on Multidimensional Systems, nDS 2013

作者： Rogers, Eric Galkowski, Krzysztof Owens, David H. Electronics and Computer Science University of Southampton SouthamptonSO17 1BJ United Kingdom Institute of Control and Computation Engineering University of Zielona Gora ul. Licealna 9 Zielona Gora65-417 Poland Department of Automatic Control and Systems Engineering University of Sheffield SheffieldS1 3JD United Kingdom

ISBN: (纸本)9783800735433

Multipass processes was the name used to describe the dynamics of longwall coal cutting in the early 1970's. Later the term 'repetitive process' was used and, using coal cutting as a motivating example, the development of a stability and control theory for these processes began. In the past two decades, this theory has been developed, motivated by the emergence of more physical examples and the recognition that repetitive process control theory can also be used to solve problems in other areas, to the stage where experimental verification is available to support the theory. This paper gives a reflective overview of the progress achieved in the underlying systems theory and in a companion paper the application of this theory is described together with a discussion of possible future developments. © VDE VERLAG GMBH 2013.

关键词： control theory

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Iterative Learning control Design for Stability and Transient Performance Using Differential Linear Repetitive Process Stability Theory

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IFAC Proceedings Volumes 2013年第11期46卷 152-157页

作者： Wojciech Paszke Krzysztof Gałkowski Eric Rogers Institute of Control and Computation Engineering University of Zielona Góra Poland Electronics and Computer Science University of Southampton Southampton SO17 1BJ UK

Iterative learning control has been developed for systems that repeat the same task over a finite duration with resetting to the starting location once each repetition, or trial, is complete. The novel feature is the use of information generated on the previous trial to compute the control input for the next one and the basic problem is to force the sequence of trial outputs to track a given reference signal. In many cases, it is also necessary to regulate the dynamics produced along the trials, for which this paper gives new results using the theory of linear repetitive processes and the generalized form of the Kalman-Yakubovich-Popov lemma.

关键词： iterative learning control convergence control law design

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Robust H∞ actuator fault diagnosis with neural network

Robust H∞ actuator fault diagnosis with neural network

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International Conference on Methods and Models in Automation and Robotics (MMAR)

作者： Marcel Luzar Marcin Witczak Piotr Witczak Institute of Control and Computation Engineering University of Zielona Góra ul. Podgórna 50 Zielona Góra Poland

The paper deals with the problem of a robust actuator fault diagnosis for Linear Parameter-Varying (LPV) systems with Recurrent Neural-Network (RNN). The preliminary part of the paper describes the derivation of a discrete-time polytopic LPV model with RNN. Subsequently, a robust fault detection, isolation and identification scheme is developed, which is based on the observer and H ∞ framework for a class of nonlinear systems. The proposed approach is designed in such a way that a prescribed disturbance attenuation level is achieved with respect to the actuator fault estimation error while guaranteeing the convergence of the observer.

关键词： Observers Actuators Robustness Fault diagnosis Attenuation Estimation error Sensors

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Stability of 2D Roesser models: Towards a necessary and sufficient LMI condition 8

Stability of 2D Roesser models: Towards a necessary and suff...

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8th International Workshop on Multidimensional Systems, nDS 2013

作者： Bachelier, Olivier Paszke, Wojciech Yeganefar, Nima Mehdi, Driss University of Poitiers LIAS-ENSIP Bâtiment B25 2 rue Pierre Brousse B.P. Poitiers Cedex633 86022 France University of Zielona Gora Institute of Control and Computation Engineering ul.Licealna 9 Zielona Gora65-417 Poland

ISBN: (纸本)9783800735433

This paper is dedicated to the asymptotic stability of 2D discrete Roesser models. Two well-known necesssary and sufficient conditions expressed in terms of characteristic polymials are recalled and their equivalence is proved. Although it is not new result, the provided proof is simpler than those proposed in the literature. These conditions being numerically rather non tractable, a first motivation is to compare these conditions through their sufficient LMI (Linear Matrix Inequalities) relaxations. Actually, the same approach, based upon the S-procedure, is used to derive the two relaxations, which, once again, are proved to be equivalent. However, the second condition offers a different point of view which leads to a modification of the relaxation technique, making the necessity of the LMI condition reachable. © VDE VERLAG GMBH 2013.

关键词： Linear matrix inequalities

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Applications Oriented Stability Theory for Discrete Linear Repetitive Processes

Applications Oriented Stability Theory for Discrete Linear R...

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nDS '13;Proceedings of the 8th International Workshop on Multidimensional Systems

作者： Pawel Dabkowski Krzysztof Galkowski Eric Rogers Institute of Physics. Nicolaus Copernicus University in Torun Poland and Department of Control Engineering Faculty of Electrical Engineering Czech Technical University in Prague Institute of Control and Computation Engineering University of Zielona Gora and Institute of Physics. Nicolaus Copernicus University in Torun Electronics and Computer Science University of Southampton

Many systems repeat the same operation over and over again on a finite duration. Repetitive processes have this characteristic where repeated sweeps, termed passes, are made over the finite pass length and when each is complete the process resets to the starting location and the next pass begins. The distinguishing feature of these processes is that the output, or pass profile, produced on each pass explicitly contributes to the dynamics of the next one and can result in oscillations that increase in amplitude from pass-to-pass. For applications, it is necessary to have a stability theory on which to base control law design for stabilization and performance. This paper gives a reflective overview of the stability theory for linear repetitive processes with particular attention to the forms of stability possible, their characterizations, and suitability for control law design. A particular feature is that the strongest form of stability for these processes can, especially for applications, lead to difficulties in control law design for stability and performance. One alternative in such cases is also considered.

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Repetitive Process control Theory Applied to the Modeling and control of Ladder Circuits

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IFAC Proceedings Volumes 2013年第11期46卷 689-694页

作者： Bartlomiej Sulikowski Krzysztof Galkowski Anton Kummert Eric Rogers Institute of Control and Computation Engineering University of Zielona Gora Poland Faculty of Electrical Information and Media Engineering University of Wuppertal Germany Electronics and Computer Science University of Southampton Southampton SO17 1BJ UK

Repetitive processes propagate information in two separate directions, one of which is temporal and the other can be spatial. A repetitive process makes a series of sweeps, or passes, through a set of dynamics over this finite duration and when each is complete the process resets. Moreover, the output produced on the previous pass explicitly contributes to the dynamics produced on the next one. Hence they can also be viewed as a class of periodic systems. They also pose control problems that cannot be solved by standard systems control theory and design algorithms. This paper gives new results on the application of the repetitive process control theory to the analysis of ladder networks.

关键词： Spatio-temporal dynamics stability control law design

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Stabilization and H∞ control of 2D systems 8

Stabilization and H∞ control of 2D systems

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8th International Workshop on Multidimensional Systems, nDS 2013

作者： Emelianova, Julia Galkowski, Krzysztof Rogers, Eric Pakshin, Pavel Institute of Control and Computation Engineering University of ZG ul. Podgórna 50 Zielona Góra65-246 Poland Electronics and Computer Science University of Southampton SouthamptonSO17 1BJ United Kingdom Arzamas Polytechnic Institute of R.E. Alekseev NNSTU 19 Kalinina ul Arzamas607227 Russia

ISBN: (纸本)9783800735433

This paper develops a vector Lyapunov function based approach to the stabilization and H∞ control of continuous and discrete 2D nonlinear systems described in Roesser model form. The property of global asymptotic stability is defined and sufficient conditions for the existence of this property obtained in terms of vector Lyapunov functions. An extension to nonlinear continuous-time Roesser systems with Markovian switching is also developed. © VDE VERLAG GMBH 2013.

关键词： Stabilization

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Robust and efficient predictive FTC: Application to wind turbines

Robust and efficient predictive FTC: Application to wind tur...

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Conference on control and Fault-Tolerant Systems

作者： Marcin Witczak Piotr Witczak Jozef Korbicz Christophe Aubrun Institute of Control and Computation Engineering University of Zielona Gora Centre de Recherche en Automatique de Nancy CRAN-UMR 7039 Nancy-Universite CNRS

ISBN: (纸本)9781479928569

The paper deals with the problem of robust predictive fault-tolerant control for non-linear discrete-time systems. The proposed approach starts with the fault estimation and then the fault is compensated with a robust controller. If the robust fault compensation does not provide satisfactory results, which means that the current state does not belong to the robust invariant set, then a suitable predictive control actions are performed in order to enhance the invariant set. This appealing phenomenon makes it possible to enlarge the domain of attraction, which makes the proposed approach an efficient solution. Subsequently, the proposed approach is extended to the linear parameter varying systems. The final part of the paper shows an illustrative example regarding wind turbines.

关键词： turbines Wind Energy Conversion Systems linear parameter varying system Robustness region of attraction Robust controllers faults Invariant Coviracil current status Predictive compensated

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Two-dimensional systems based iterative learning control for high-speed rack feeder systems 8

Two-dimensional systems based iterative learning control for...

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8th International Workshop on Multidimensional Systems, nDS 2013

作者： Paszke, Wojciech Aschemann, Harald Rauh, Andreas Galkowski, Krzysztof Rogers, Eric University of Zielona Góra Institute of Control and Computation Engineering ul.Licealna 9 Zielona Góra65-417 Poland Chair of Mechatronics University of Rostock Rostock18059 Germany Electronics and Computer Science University of Southampton SouthamptonSO17 1BJ United Kingdom

ISBN: (纸本)9783800735433

Many systems compete the same finite duration task over and over again, where once each is completed the system resets to the starting location and the next execution begins. Each execution is known as a trial and the duration is the trial length. Iterative learning control algorithms have been developed for such systems where the novel feature is the use of information from previous trials to update the control input for application on the next one. This paper uses the 2D systems structure of iterative learning control to design in one step a control law for trial-to-trial error convergence and along the trial transient dynamics. The analysis makes use of the generalized form of the Kalman-Yakubovich-Popov lemma and the design is evaluated in simulation on a high-speed rack feeder model as a prerequisite for experimental validation. © VDE VERLAG GMBH 2013.

关键词： Iterative methods

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