Abstract
This chapter first introduces the unique features and control problems for repetitive processes by reference to two physical examples - long-wall coal cutting and metal rolling. Two so-called algorithmic examples are considered next, i.e. problem areas where adopting a repetitive process approach to modelling and analysis has clear advantages over alternatives. All these examples are shown to be special cases of the general abstract model in a Banach space setting on which the stability theory for linear repetitive processes is based. Finally, the links at the modelling/structural level with well known 2D discrete and standard, termed 1D in this setting, linear systems are detailed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
Rogers, E., Galkowski, K., Owens, D.H. (2007). Examples and Representations. In: Control Systems Theory and Applications for Linear Repetitive Processes. Lecture Notes in Control and Information Sciences, vol 349. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71537-5_1
Download citation
DOI: https://doi.org/10.1007/978-3-540-71537-5_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42663-9
Online ISBN: 978-3-540-71537-5
eBook Packages: EngineeringEngineering (R0)