Stability Analysis for Linear Repetitive Processes - Owens, David H.

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Résumé :
Industrial processes such as long-wall coal cutting and me- tal rolling, together with certain areas of 2D signal and image processing, exhibit a repetitive, or multipass struc- ture characterized by a series of sweeps of passes through a known set of dynamics. The output, or pass profile, produced on each pass explicitly contributes to that produced on the text. This interpass interaction can lead to the growth of oscillations, and hence a form of instability, in the se- quence of pass profiles which require control strategies that explicitly incorporate the essential repetitive struc- ture of the process in their decision making. This monograph is unique in developing the new techniques necessary for sy- stematic control systems design in the form of a stability theory and computationally feasible stability tests based on finite simulations and polynomial analysis. Its development requires a basic knowledge of linear frequency domain and state-space theory and a knowledge of basic functional ana- lysis would be beneficial. The text is aimed at researchers in the area of control and systems theory and should also be of interest to those working in the related area of signal and image processing.

Biographie:
Dr Freeman and Professor Rogers are control engineers who have undertaken ground breaking research for iterative learning control from theory through to experimental benchmarking and comparative studies in the engineering domain. Professor Burridge and Dr Hughes are health professionals in the general area of rehabilitation and Dr Meadmore is a psychologist with interests in human movement and attention. Together they have worked to develop the idea of iLC in stroke rehabilitation from 'blue skies' ideas right through to clinical trials....

Sommaire:
Preliminaries.- Stability theory.- Graphical and algebraic stability tests.- Simulation-based stability tests.- Controller design - Some initial results.- Conclusions and further work.