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A survey on delayed feedback control of chaos

控制理论与应用（英文版） 2005年第4期3卷 311-319页

作者： Yuping TIAN Jiandong ZHU Guanrong CHEN Department of Automatic Control Southeast University Nanjing Jiangsu 210096 China School of Mathematics and Computer Science Nanjing Normal University Nanjing Jiansu China Department of Electronic Engineering City University of Hong KongChina

This paper introduces the basic idea and provides the mathematical formulation of the delayed feedback control （DFC） methodology, which has been widely used in chaos control. Stability analysis including the well-known odd number linfitation of the DFC is reviewed. Some new developments in characterizing the limitation of the DFC are presented. Various modified DFC methods, which are developed in order to overcome the odd number limitation, are also described. Finally, some open problems in this research field are discussed.

关键词： Delayed feedback control Chaos control Stability Odd number limitation Stabilization

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SET MEMBERSHIP ESTIMATION OF PARAMETERS AND VARIABLES IN DYNAMIC NETWORKS BY RECURSIVE ALGORITHMS WITH MOVING MEASUREMENT WINDOW

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IFAC Proceedings Volumes 2005年第1期38卷 21-26页

作者： Kazimierz Duzinkiewicz Mietek A. Brdys Department of Electronic Electrical an Computer Engineering School of Engineering The University of Birmingham Birmingham B15 2TT UK Department of Automatic Control Gdansk University of Technology G. Narutowicza 11/12 80 9 52 Gdansk Poland

The paper considers a set-membership joint estimation of variables and parameters in complex dynamic networks based on parametric uncertain models and limited hard measurements. The recursive estimation algorithm with moving measurement window is derived that is suitable for on line network monitoring. The window allows stabilising the classic recursive estimation algorithm and significantly improves the estimate tightness. The estimator is validated on a case study water distribution network. Tight set estimates of unmeasured pipe flows, nodal heads and pipe resistances are obtained.

关键词： set membership estimation uncertainty complexity networks water

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Proportional plus integral control and disturbance rejection for differential linear repetitive processes

Proportional plus integral control and disturbance rejection...

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American control Conference (ACC)

作者： B. Sulikowski K. Galkowski E. Rogers D.H. Owens Institute of Control and Computation Engineering University of Zielona Gora Zielona Gora Poland University of Wuppertal Wuppertal Germany School of Electronics and Computer Science University of Southampton Southampton UK Department of Automatic Control and Systems Engineering University of Sheffield Sheffield UK

Repetitive processes are a distinct class of two-dimensional systems (i.e. information propagates in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D in the associated literature) or two-dimensional (2D) systems theory. Most of the currently available results for them focus on fundamental properties such as stability, controllability etc. Recently, however, there has been a move (prompted by the progress in this earlier research) towards the development of a control theory, and associated design algorithms, for the subclasses of so-called differential and discrete linear repetitive processes which arise in applications such as iterative learning control. In this paper we continue this theme by investigating the role of proportional plus integral action in the differential case.

关键词： Pi control Proportional control control systems Iterative algorithms control theory Algorithm design and analysis automatic control Optimal control Stability analysis Linear systems

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Proportional plus integral output control and disturbance rejection for discrete linear repetitive processes

Proportional plus integral output control and disturbance re...

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International Workshop on Multidimensional (nD) Systems

作者： B. Sulikowski K. Galkowski E. Rogers D.H. Owens W. Paszk Institute of Control and Computation Engineering University of Zielona Góra Zielona Góra Poland University of Wuppertal Wuppertal Germany School of Electronics and Computer Science University of Southampton Southampton UK Department of Automatic Control and Systems Engineering University of Sheffield Sheffield UK

Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. Here we give further results on the relatively open problem of the design of control laws to achieve desired performance and disturbance decoupling in the sense defined in the body of the paper. The control laws are activated only by the process output and do not require access to state information.

关键词： Pi control Proportional control control systems Symmetric matrices Iterative algorithms Stability analysis automatic control control engineering computing computer science Systems engineering and theory

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control of a Class of

Control of a Class of

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IEEE International Symposium on Intelligent control (ISIC)

作者： B. Cichy K. Galkowski E. Rogers D.H. Owens Institute of Control and Computation Engineering University of Zielona Gora Zielona Gora Poland Gerhard Mercator Guest Professor University of Wuppertal Wuppertal Germany School of Electronics and Computer Science University of Southampton Southampton UK Department of Automatic Control and Systems Engineering University of Sheffield Sheffield UK

Repetitive processes are a distinct class of two-dimensional (2D) systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or (most often) 2D systems theory. In this paper we define a new model for these processes necessary to represent dynamics which arise in some applications areas and which are not included in the currently used models. Then we proceed to define quadratic stability for this case, obtain conditions for its existence, and also solve the problem of designing a control law to stabilize the process dynamics (including the case when there is uncertainty associated with the defining state space model)

关键词： control systems Iterative algorithms Stability State-space methods Optimal control Linear systems Uncertainty control engineering computing computer science Systems engineering and theory

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Mixed H2/H∞ and robust control of differential linear repetitive processes

Mixed H2/H∞ and robust control of differential linear repet...

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IEEE Conference on Decision and control

作者： W. Paszke K. Gakowski E. Rogers A. Kummert D.H. Owens Institute of Control and Computation Engineering University of Zielona Góra Zielona Góra Poland School of Electronics and Computer Science University of Southampton Southampton UK Faculty of Electrical University of Wuppertal Wuppertal Germany Department of Automatic Control and Systems Engineering University of Sheffield Sheffield UK

Repetitive processes are a distinct class of 2D systems (*** propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. Here we give new results on the design of physically based control laws and, in particular, the first results on a mixed H 2 /H ∞ approach and on H 2 control in the presence of uncertainty in the process model.

关键词： Robust control control systems Linear systems Uncertainty Writing Disk drives Process control Iterative algorithms control engineering computing computer science

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H 2 control OF DIFFERENTIAL LINEAR REPETITIVE PROCESSES

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IFAC Proceedings Volumes 2005年第1期38卷 55-60页

作者： Wojciech Paszke Krzysztof Galkowski Eric Rogers David H. Owens University of Zielona Gora Institute of Control and Computation Engineering URL. Podgórna 50 65-246 Zielona Gora Poland School of Electronics and Computer Science University of Southampton Southampton SO17 1BJ UK Department of Automatic Control and Systems Engineering University of Sheffield Sheffield S1 3JD UK

Repetitive processes are a distinct class of two-dimensional systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or two-dimensional (2D) systems theory. Here we give new results on the design of physically based control laws using an H 2 setting. These results are for the sub-class of so-called differential linear repetitive processes which arise in applications areas such as iterative learning control.

关键词： H 2 control differential linear repetitive processes linear matrix inequalities

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The influence of feedback/feedforward control on relaxed pass profile controllability of discrete linear repetitive processes

The influence of feedback/feedforward control on relaxed pas...

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International Workshop on Multidimensional (nD) Systems

作者： L. Hladowski K. Galkowski E. Rogers A. Kummert D.H. Owens Institute of Control and Computation Engineering University of Zielona Gora Zielona Gora Poland University of Wuppertal Germany School of Electronics and Computer Science University of Southampton Southampton UK Faculty of Electrical Information and Media Engineering Communication Theory University of Wuppertal Germany Department of Automatic Control and Systems Engineering University of Sheffield Sheffield UK

Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. Here we give the first results on how feedback/feedforward control action can be used to influence one form of controllability for processes with discrete dynamics.

关键词： Linear feedback control systems controllability Integrated circuit modeling control engineering computing Vectors Communication system control computer science Systems engineering and theory State-space methods Multidimensional systems

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Fast norm-optimal iterative learning control for industrial applications

Fast norm-optimal iterative learning control for industrial ...

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American control Conference (ACC)

作者： J. Ratcliffe L. van Duinkerken P. Lewin E. Rogers J. Hatonen T. Harte D. Owens School of Electronics and Computer Science University of Southampton Southampton UK Department of Applied Mathematics Delft University of Technnology Delft Netherlands Department of Automatic Control and Systems Engineering University of Sheffield Sheffield UK Systems Engineering Laboratory University of Oulu Oulu Finland

Norm-optimal iterative learning control has potential to significantly increase the accuracy of many trajectory tracking tasks which can be found in industry. The algorithm can achieve very low levels of tracking error and the number of iterations required to reach minimal error is small compared to many other iterative learning control algorithms. However, in the current format, the algorithm is not attractive to industry because it requires a large number of calculations to be performed at each sample instant. This implies that control hardware must be very fast which is expensive, or that the sample frequency must be reduced which can result in reduced performance. To remedy these problems, a revised version, fast norm-optimal iterative learning control is proposed which is significantly simpler and faster to implement. The new version is tested both in simulation and in practice on a three axis industrial gantry robot.

关键词： Industrial control control systems Trajectory Iterative algorithms Error correction Frequency Service robots Robotic assembly Systems engineering and theory Hardware

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control of discrete linear repetitive processes with uncertain sampling period and application to a physical example

Control of discrete linear repetitive processes with uncerta...

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International Workshop on Multidimensional (nD) Systems

作者： B. Cichy K. Gatkowski E. Rogers A. Kummert D.H. Owens Insti1tute of Control and Computation Engineering University of Zielona Góra Zielona Góra Poland Uniwersytet Zielonogorski Zielona Gora Lubuskie PL Inst. of Control & Comput. Eng. Zielona Gora Univ. Poland School of Electronics and Computer Science University of Southampton Southampton UK Bergische Universität Wuppertal Wuppertal Germany Automatic Control and Systems Engineering University of Sheffield Sheffield UK

This paper considers the problem of stabilizing an uncertain discrete linear repetitive process where the model uncertainty is a result of the choice of the sampling period. The results obtained are applied to the engineering example of a material rolling process. The required computations to determine the control law are undertaken using LMIs.

关键词： Sampling methods Linear matrix inequalities Symmetric matrices automatic control Process control State-space methods control engineering computing Physics computing Systems engineering and theory computer science

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