Stability Analysis for Linear Repetitive Processes

Eric Rogers, David H. Owens

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
27 May 1992

Applied mathematics; Engineering measurement & calibration; Dynamics & vibration; Automatic control engineering; Systems analysis & design

Series: Lecture Notes in Control and Information Sciences

Industrial processes such as long-wall coal cutting and metal rolling, together with certain areas of 2D signal and image processing, exhibit a repetitive, or multipass structure 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 next. This interpass interaction can lead to the growth of oscillations, and hence a form of instability, in the sequence of pass profiles, which require control strategies incorporating the essential repetitive structure of the process in their decision-making. This monograph describes new techniques necessary for systematic control of systems design in the form of a stability theory and computationally feasible stability tests based on finite simulations and polynomial analysis. Its development requires of the reader/user a basic knowledge of linear frequency domain and state-space theory and a knowledge of basic functional analysis would be beneficial. This text is intended for the use of 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.

By: Eric Rogers, David H. Owens
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Volume: 175
Dimensions: Height: 244mm, Width: 170mm, Spine: 11mm
Weight: 423g
ISBN: 9783540552642
ISBN 10: 3540552642
Series: Lecture Notes in Control and Information Sciences
Pages: 201
Publication Date: 27 May 1992
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active

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